Tootfinder

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.

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 …

Quantum Field Theory Between Rigor and Pragmatism
Johannes Branahl
https://arxiv.org/abs/2505.15577 https://arxiv.org/pdf/2505.15577

Quantum Field Theory Between Rigor and Pragmatism
Quantum Field Theory (QFT), the foundational framework of particle physics, has long existed in a state of tension between empirical success and mathematical rigor. Conventional QFT (CQFT), which underpins the Standard Model, offers unparalleled predictive accuracy but relies on inconsistent and ad hoc methods. In contrast, axiomatic QFT (AxQFT) aspires to a consistent, mathematically rigorous foundation, yet lacks empirical applicability. This paper introduces the heuristic vehicle of a realis…

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».

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…

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…

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

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…