Tootfinder

Constructive Quantum Field Theory on Curved Surfaces and Related Topics
Jiasheng Lin
https://arxiv.org/abs/2507.21655 https://arxiv.org/pdf/2507.21655

Constructive Quantum Field Theory on Curved Surfaces and Related Topics
This is the Ph.D. thesis of the author. In this thesis, we construct the $ P(ϕ)_2 $ Quantum Field Theory (QFT) model on curved surfaces and show that it satisfies Segal's axioms (arXiv:2403.12804). An important ingredient in this construction is the use of a local regularization procedure to define the interaction as a random variable with respect to the Gaussian Free Field (GFF). We provide a counterexample demonstrating that spectral truncation regularization violates locality (arXiv:2312.15…

Is There Only One Vacuum?
Xinmu Zong, Chunyu Huang
https://arxiv.org/abs/2507.22084 https://arxiv.org/pdf/2507.22084

Is There Only One Vacuum?
This work proposes a reconstruction of the quantum field theory (QFT) scattering framework: the path integral governs an interaction kernel region, while the Hilbert space encodes asymptotic free boundary conditions. We critically reexamine foundational assumptions and standard observables of QFT, raising the possibility of a unique vacuum. We also introduce a new thermodynamic perspective on vacuum loop contributions. The motivation behind certain vacuum energy cancellation schemes is reconsid…

Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach
Christopher J. Fewster, Daan W. Janssen, Kasia Rejzner
https://arxiv.org/abs/2508.20939

Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach
Boundaries and corners of spacetime play a vital role in understanding physical concepts including entanglement entropy, the infrared problem in QFT and quantum gravity. Standard local quantum field theory struggles to accommodate such boundary-sensitive observables. In this paper we develop an algebraic framework for \emph{semi-local quantum electromagnetism} on finite Cauchy lenses: a class of compact spacetimes with boundaries and corner. At the classical level, we establish a decomposition …

Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians
Tudor Dimofte, Wenjun Niu, Victor Py
https://arxiv.org/abs/2508.11749 https://…

Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians
We study line operators and their OPE's in perturbative 3d holomorphic-topological QFT's, including holomorphic-topological twists (quarter-BPS sectors) of 3d $N=2$ theories. In particular, we develop the representation theory of the category $C$ of perturbative line operators and its chiral tensor product, by generalizing techniques introduced by Costello and collaborators. We argue that lines are equivalent to modules for an $A_\infty$ algebra $A^!$ that's Koszul-dual to bulk local operators.…

Anomalies of global symmetries on the lattice
Yi-Ting Tu, David M. Long, Dominic V. Else
https://arxiv.org/abs/2507.21209 https://arxiv.org/pdf/2507.21209

Anomalies of global symmetries on the lattice
t Hooft anomalies of global symmetries play a fundamental role in quantum many-body systems and quantum field theory (QFT). In this paper, we make a systematic analysis of lattice anomalies - the analog of 't Hooft anomalies in lattice systems - for which we give a precise definition. Crucially, a lattice anomaly is not a feature of a specific Hamiltonian, but rather is a topological invariant of the symmetry action. The controlled setting of lattice systems allows for a systematic and rigorouâ…

Foundations of Relational Quantum Field Theory I: Scalars
Samuel Fedida, Jan G{\l}owacki
https://arxiv.org/abs/2507.21601 https://arxiv.org/pdf/2507.21601

Foundations of Relational Quantum Field Theory I: Scalars
We develop foundations for a relational approach to quantum field theory (RQFT) based on the operational quantum reference frames (QRFs) framework considered in a relativistic setting. Unlike other efforts in combining QFT with QRFs, we use the latter to provide novel mathematical and conceptual foundations for the former. We focus on scalar fields in Minkowski spacetime and discuss the emergence of relational local (bounded) observables and (pointwise) fields from the consideration of PoincarÃ…

Asymptotics of spin-spin correlators weighted by fermion number measurements with low rapidity threshold in the 2D Ising free-fermion QFT
Yizhuang Liu
https://arxiv.org/abs/2507.13093

Asymptotics of spin-spin correlators weighted by fermion number measurements with low rapidity threshold in the 2D Ising free-fermion QFT
In the work, we study the averaged number of massive fermions above a low rapidity threshold $Y$, underlying the form-factor expansions of the spin-spin two-point correlators at an Euclidean distance $r$, in the 2D Ising QFT at the free massive fermion point. Despite the on-shell freeness, the spin operators are still far away from being Gaussian, and create particles in the asymptotic states with complicated correlations. We show how the number observables can still be incorporated into the in…

Energy Correlators: A Journey From Theory to Experiment
Ian Moult, Hua Xing Zhu
https://arxiv.org/abs/2506.09119 https://arxiv.org/pd…

Energy Correlators: A Journey From Theory to Experiment
Collider experiments offer a unique opportunity to explore the Standard Model (SM), and to search for new physics, new interactions, and new principles of nature. The theoretical abstraction of a collider, namely the study of correlations in asymptotic fluxes, provides one of the most basic examples of an observable in quantum field theory (QFT) and quantum gravity. Energy flux is described in QFT by energy flow operators, a particular example of light-ray operators. In addition to their centra…

A new look at Perturbation Theory in QFT and Resolvent Series
Raphael Ducatez
https://arxiv.org/abs/2506.11572 https://arxiv.org/pdf/…

A new look at Perturbation Theory in QFT and Resolvent Series
We give a short introduction for elementary mathematical tools used in the context of Quantum Field Theory. These notes were motivated by a reading group in Lyon on Talagrand's book «What is Quantum Field Theory, A First Introduction for Mathematicians».

Breaking a 5-Bit Elliptic Curve Key using a 133-Qubit Quantum Computer
Steve Tippeconnic
https://arxiv.org/abs/2507.10592 https://arx…

Breaking a 5-Bit Elliptic Curve Key using a 133-Qubit Quantum Computer
This experiment breaks a 5-bit elliptic curve cryptographic key using a Shor-style quantum attack. Executed on IBM's 133-qubit ibm_torino with Qiskit Runtime 2.0, a 15-qubit circuit, comprised of 10 logical qubits and 5 ancilla, interferes over an order-32 elliptic curve subgroup to extract the secret scalar k from the public key relation Q = kP, without ever encoding k directly into the oracle. From 16,384 shots, the quantum interference reveals a diagonal ridge in the 32 x 32 QFT outcome spac…

Crosslisted article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians
Tudor Dimofte, Wenjun Niu, Victor Py

Replaced article(s) found for math.PR. https://arxiv.org/list/math.PR/new
[1/1]:
Elliptic stochastic quantization of Sinh-Gordon QFT
https://

Parrondo paradox in quantum image encryption
{\L}ukasz Pawela
https://arxiv.org/abs/2508.16382 https://arxiv.org/pdf/2508.16382

Parrondo paradox in quantum image encryption
We present a quantum image encryption protocol that harnesses discrete-time quantum walks (DTQWs) on cycles and explicitly examines the role of the Parrondo paradox in security. Using the NEQR representation, a DTQW-generated probability mask is transformed into a quantum key image and applied via CNOT to encrypt grayscale images. We adopt an efficient circuit realization of DTQWs based on QFT-diagonalization and coin-conditioned phase layers, yielding low depth for $N=2^n$ positions and $t$ st…

Crossing symmetry including non planar diagrams in perturbative QFT
Ritabrata Bhattacharya
https://arxiv.org/abs/2508.05044 https://arxiv.org/pdf/2508.0504…

Crossing symmetry including non planar diagrams in perturbative QFT
We venture a proof of crossing symmetry for non-planar diagrams in perturbative QFT. For the planar diagrams a proof of crossing is available in the literature and our method closely follows the one depicted in that case. We classify the non-planar diagrams broadly into two types. For one of these types the proof is pretty straightforward and hence the result extends to all point all loop on-shell amplitudes. These are called the "trivial" cases while for the other type we find certain cases ca…

Canonical Electrodynamics in Ashtekar-Barbero variables
Federica Fragomeno, Saeed Rastgoo
https://arxiv.org/abs/2507.06276 https://ar…

Canonical Electrodynamics in Ashtekar-Barbero variables
We present the full Hamiltonian analysis of electrodynamics, including fermions, photons, and their interaction, on a general curved spacetime in Ashtekar-Barbero variables. No gauge fixing is performed and the theory is background independent. The details of the constraints of the theory for both Weyl and Dirac fermions are presented. Moreover, the equations of motion are derived and it is shown that they reduce to the equations of motion of the standard QFT in curved or flat spacetime in the …

Variational Neural Network Approach to QFT in the Field Basis
Kevin Braga, Nobuo Sato, Adam P. Szczepaniak
https://arxiv.org/abs/2508.00173 https://arxiv.o…

Variational Neural Network Approach to QFT in the Field Basis
We present a variational neural network approach for solving quantum field theories in the field basis, focusing on the free Klein-Gordon model formulated in momentum space. While recent studies have explored neural-network-based variational methods for scalar field theory in position space, a systematic benchmark of the analytically solvable Klein-Gordon ground state -- particularly in the momentum-space field basis -- has been lacking. In this work, we represent the ground-state wavefunctiona…

A novel quantum circuit for the quantum Fourier transform
Juan M. Romero, Emiliano Montoya-Gonz\'alez, Guillermo Cruz, Roberto C. Romero
https://arxiv.org/abs/2507.08699

A novel quantum circuit for the quantum Fourier transform
The Quantum Fourier Transform (QFT) is a fundamental component of many quantum computing algorithms. In this paper, we present an alternative method for factoring this transformation. Inspired by this approach, we introduce a new quantum circuit for implementing the QFT. We show that this circuit is more efficient than the conventional design. Furthermore, using this circuit, we develop an alternative version of the HHL algorithm, which also demonstrates improved performance compared to the sta…

The Neural Networks with Tensor Weights and the Corresponding Fermionic Quantum Field Theory
Guojun Huang, Kai Zhou
https://arxiv.org/abs/2507.05303 https:…

The Neural Networks with Tensor Weights and the Corresponding Fermionic Quantum Field Theory
In this paper, we establish a theoretical connection between complex-valued neural networks (CVNNs) and fermionic quantum field theory (QFT), bridging a fundamental gap in the emerging framework of neural network quantum field theory (NN-QFT). While prior NN-QFT works have linked real-valued architectures to bosonic fields, we demonstrate that CVNNs equipped with tensor-valued weights intrinsically generate fermionic quantum fields. By promoting hidden-to-output weights to Clifford algebra-valu…

On Chaos in QFT
Jacob Sonnenschein, Nadav Shrayer
https://arxiv.org/abs/2506.10784 https://arxiv.org/pdf/2506.10784

On Chaos in QFT
In this note we explore the chaotic behavior of non-integrable QFTs and compare them to integrable ones. We choose as prototypes the double sine-Gordon and the sine-Gordon models. We analyze their discrete spectrum determined by a truncation method. We examine the map of the corresponding energy eigenvalues to the eigenvalues of the random matrix theory (RMT) Gaussian orthogonal ensemble (GOE). This is done by computing the following properties: (a) The distribution of the adjacent spacings and…

Cosmological correlators in gravitationally-constrained de Sitter states
Tuneer Chakraborty, Ashik H, Suvrat Raju
https://arxiv.org/abs/2507.15926 https://…

Cosmological correlators in gravitationally-constrained de Sitter states
We study cosmological correlators in de Sitter quantum gravity in the limit where $G_N \to 0$. This limit is distinct from a nongravitational QFT because the gravitational constraints still force states and observables to be de Sitter invariant. We first examine a class of perturbative correlators that, in gauge-fixed form, are represented by the expectation value of a product of elementary fields on the late-time boundary. We formulate Feynman rules for our computations and enumerate some nece…

Entanglement and magic on the light-front
Sam Alterman, Peter J. Love
https://arxiv.org/abs/2507.10777 https://arxiv.org/pdf/2507.107…

Entanglement and magic on the light-front
In the light-front (LF) formulation of quantum field theory (QFT), physics is formulated from the perspective of a massless observer necessarily traveling at the speed of light. The LF formulation provides an alternative computational approach to lattice gauge theory, and has recently been investigated as a future application of quantum computers. A natural question is how quantum resources such as entanglement and contextuality amongst physical qubits in the laboratory are utilized in LF simul…

Mutual Influence of Symmetries and Topological Field Theories
Daniel Teixeira, Matthew Yu
https://arxiv.org/abs/2507.06304 https://ar…

Mutual Influence of Symmetries and Topological Field Theories
We study how the fusion 2-category symmetry of a fermionic (2+1)d QFT can be affected when one allows for stacking with TQFTs to be an equivalence relation for QFTs. Focusing on a simple kind of fermionic fusion 2-category described purely by group theoretical data, our results reveal that by allowing for stacking with $\mathrm{Spin}(n)_1$ as an equivalence relation enables a finite set of inequivalent modifications to the original fusion 2-categorical-symmetry. To put our results in a broader …

Notes from the bulk
Erica Bertolini
https://arxiv.org/abs/2507.16744 https://arxiv.org/pdf/2507.16744

Notes from the bulk
The scope of this Ph.D thesis is to study the effects of the presence of a boundary from a Quantum Field Theoretical perspective, searching for new physics and explanations of observed phenomena. In particular, thanks to the formal QFT setting, the issue of the existence of local, accelerated, edge modes in Hall systems is analyzed and understood in terms of the bulk-to-boundary approach as related to a curved background in topological QFTs with boundary. Within this formalism the induced metri…

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[1/1]:
- Dark matter freeze-in from non-equilibrium QFT: towards a consistent treatment of thermal effects
Mathias Becker, Emanuele Copello, Julia Harz, Carlos Tamarit

Emergent classical gravity as stress-tensor deformed field theories
Yun-Ze Li, Yunfei Xie, Song He
https://arxiv.org/abs/2508.15461 https://arxiv.org/pdf/2…

Emergent classical gravity as stress-tensor deformed field theories
We introduce a framework in which classical gravity arises from stress-tensor deformations of quantum field theories (QFTs). By expressing the deformed partition function as a gravitational path integral, we propose an equivalent description between a seed QFT coupled to gravity and an effective field theory defined on a deformation-induced metric. This approach, which does not rely on holography or extra dimensions, applies to a variety of gravitational models, including Einstein and Palatini …

Quasi-equivalence of Gaussian states and energy estimates for functions of modular Hamiltonians
Adriano Chialastri, Ko Sanders
https://arxiv.org/abs/2506.03907

Quasi-equivalence of Gaussian states and energy estimates for functions of modular Hamiltonians
To compare two Gaussian states of the Weyl-CCR algebra of a free scalar QFT we study three closely related perspectives: (i) quasi-equivalence of the GNS-representations, (ii) differences of the total energy (on some Cauchy surface), and (iii) differences between functions of the modular Hamiltonians. (For perspective (ii) we will only consider real linear free scalar quantum fields on ultrastatic spacetimes.) These three perspectives are known to be related qualitatively, due to work of Araki …

Tunnelling amplitudes and Hawking radiation from worldline QFT
Anton Ilderton, Karthik Rajeev
https://arxiv.org/abs/2508.00997 https://arxiv.org/pdf/2508.0…

Tunnelling amplitudes and Hawking radiation from worldline QFT
We compare Hawking radiation in a collapse background with Schwinger pair creation in an electric field. The comparison is driven by the presence of an analogue horizon in the Schwinger case, which causally divides spacetime for classical particles, but through which quantum fields can tunnel. Amplitudes for tunnelling processes are encoded in the asymptotic behaviour of solutions to the appropriate background-coupled wave equation. We construct these solutions, in both gravity and QED, using t…

Quantum Resource Assay for the Grid-Based Simulation of the Photodynamics of Pyrazine
Xiaoning Feng, Hans Hon Sang Chan, David P. Tew
https://arxiv.org/abs/2506.08609

Quantum Resource Assay for the Grid-Based Simulation of the Photodynamics of Pyrazine
We establish and analyse the performance and resource requirements of an end-to-end fault-tolerant quantum algorithm for computing the absorption spectrum and population dynamics of photoexcited pyrazine. The quantum circuit construction consists of initial state preparation using uniformly controlled rotations, the time-dependent Hamiltonian propagation based on the grid-based Split Operator Quantum Fourier Transform (SO-QFT) method, and cost-effective measurements including statistical and ca…

Classical analog of the T. D. Lee model for renormalization
K. Xu, C. P. Sun
https://arxiv.org/abs/2506.15161 https://arxiv.org/pdf/2…

Classical analog of the T. D. Lee model for renormalization
While divergence and renormalization of physical quantities are frequently encountered in quantum field theory (QFT), they are not necessarily quantum-specific characteristics. We show in this paper that there exists a classical counterpart of the Lee model which is the model of coupled harmonic oscillators (CHO). It is demonstrated that the frequency divergence in this classical model precisely replicates the phenomenon of mass divergence in the Lee model, as does the corresponding renormaliza…

Quantum algorithm for edge detection in digital grayscale images
Mohit Rohida, Alok Shukla, Prakash Vedula
https://arxiv.org/abs/2507.06642 https://…

Quantum algorithm for edge detection in digital grayscale images
In this work, we propose a novel quantum algorithm for edge detection in digital grayscale images, based on the sequency-ordered Walsh-Hadamard transform. The proposed method significantly improves upon existing quantum techniques for edge detection by using a quantum algorithm for the sequency-ordered Walsh-Hadamard transform, achieving a circuit depth of $\mathcal{O}(n)$ (where $n$ is the number of qubits). This represents a notable enhancement over the Quantum Fourier Transform (QFT), which …

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/1]:
- Extended State Space for describing renormalized Fock spaces in QFT
Sascha Lill

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Alonso Perez-Lona, Eric Sharpe, Xingyang Yu, Hao Zhang
https://arxiv.org/abs/2508.00050

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
In this note we consider examples of decomposition (in which a local QFT is equivalent to a disjoint union of multiple independent theories, known as universes) where there is a continuous familiy of universes, rather than a finite or countably infinite collection. In particular, this allows us to consistently eliminate all instantons in a local QFT via a suitable topological gauging of the (-1)-form symmetry. In two-dimensional U(1) gauge theories, this is equivalent to changing the gauge gruo…

Learnable quantum spectral filters for hybrid graph neural networks
Ammar Daskin
https://arxiv.org/abs/2507.05640 https://arxiv.org/p…

Learnable quantum spectral filters for hybrid graph neural networks
In this paper, we describe a parameterized quantum circuit that can be considered as convolutional and pooling layers for graph neural networks. The circuit incorporates the parameterized quantum Fourier circuit where the qubit connections for the controlled gates derived from the Laplacian operator. Specifically, we show that the eigenspace of the Laplacian operator of a graph can be approximated by using QFT based circuit whose connections are determined from the adjacency matrix. For an $N\t…

Dynamical group approach to conformal field theory
G. A. Kerimov
https://arxiv.org/abs/2507.02786 https://arxiv.org/pdf/2507.02786

Dynamical group approach to conformal field theory
We propose a purely group-theoretical method for describing the S-matrix in quantum field theory with dynamical symmetry. In this approach, the Heisenberg S-matrix in a QFT with dynamical symmetry is an intertwining operator between unitary representations of the underlining dynamical group acting in Hilbert spaces spanned by the 'in' and 'out' states. As application we consider scalar Euclidean QFT with conformal symmetry.

Strongly Coupled Quantum Field Theory in Anti-de Sitter Spacetime
Jon\'a\v{s} Dujava
https://arxiv.org/abs/2507.07111 https://arx…

Strongly Coupled Quantum Field Theory in Anti-de Sitter Spacetime
We introduce the framework of Quantum Field Theories in general backgrounds through the lens of the path integral, in the formulation known as the Functorial QFT. With the aim of studying properties of strongly coupled QFTs, we present key concepts and techniques such as the effective action, renormalization group flow, and the 1/N expansion. At the fixed points of the RG flow we typically find Conformal Field Theories, which are symmetric under local rescaling of the metric. Among other thin…

Viability of perturbative expansion for quantum field theories on neurons
Srimoyee Sen, Varun Vaidya
https://arxiv.org/abs/2508.03810 https://arxiv.org/pdf…

Viability of perturbative expansion for quantum field theories on neurons
Neural Network (NN) architectures that break statistical independence of parameters have been proposed as a new approach for simulating local quantum field theories (QFTs). In the infinite neuron number limit, single-layer NNs can exactly reproduce QFT results. This paper examines the viability of this architecture for perturbative calculations of local QFTs for finite neuron number $N$ using scalar $ϕ^4$ theory in $d$ Euclidean dimensions as an example. We find that the renormalized $O(1/N)$ …

Covariant quantization of field theories on T-Minkowski noncommutative spacetimes
Giuseppe Fabiano, Flavio Mercati
https://arxiv.org/abs/2508.04527 https://

Covariant quantization of field theories on T-Minkowski noncommutative spacetimes
We develop a quantization scheme for the quantum theory of a real scalar field on a class of non-commutative spacetime models collectively known as T-Minkowski. Requiring the theory to be covariant under T-Poincaré transformations, we find that for a subclass of models the Wightmann functions are equal to their commutative counterparts, and we are able to prove a Wick theorem for Wightmann functions that is structurally equivalent to the one encountered in commutative QFT. For some of these mo…