Tootfinder

Soft Theorems in Chern-Simons Matter Theories
Avi Wadhwa
https://arxiv.org/abs/2509.02542 https://arxiv.org/pdf/2509.02542…

Soft Theorems in Chern-Simons Matter Theories
I will describe tree level soft theorems for Chern Simons QED and QCD in 4+1 dimensions. Soft theorems have been studied in various context in the past. Recently, there has been renewed interest in these theorems due to their connection with asymptotic symmetries and gauge invariance. Chern Simons theories are gauge invariant only up to a boundary term. Hence, they make for an interesting case to study the relationship between gauge invariance and soft theorems. The aim of this work is to inclu…

Decomposition of the connection in affine models of gravity: Can the connection tell us something about the metric?
Oscar Castillo-Felisola, Bastian Grez, Aureliano Skirzewski, Jefferson Vaca-Santana
https://arxiv.org/abs/2509.03659

Decomposition of the connection in affine models of gravity: Can the connection tell us something about the metric?
In physics geometrical connections are the mean to create models with local symmetries (gauge connections), as well as general diffeomorphisms invariance (affine connections). Here we study the irreducible tensor decomposition of connections on the tangent bundle of an affine manifold as used in the polynomial affine model of gravity. This connection is the most general linear connection, which allows us to build metric independent, diffeomorphism invariant models. This set up includes parts of…

Is the Lorenz Gauge a Choice? Gauge Freedom and the Structure of Electrodynamics
Alexsandro Lucena Mota
https://arxiv.org/abs/2509.00187 https://arxiv.org/…

Is the Lorenz Gauge a Choice? Gauge Freedom and the Structure of Electrodynamics
In undergraduate electromagnetism courses, the Lorenz gauge condition is often presented as a convenient mathematical choice that decouples the wave equations for the scalar and vector potentials. While true, this presentation may leave students with the impression that the condition is entirely arbitrary. This Note explores the fundamental structure of gauge invariance, demonstrating that the Lorenz condition is not an ad-hoc imposition but rather the most elegant and natural simplification af…

Quantum statistical mechanical gauge invariance
Johanna M\"uller, Matthias Schmidt
https://arxiv.org/abs/2509.20494 https://arxiv.org/pdf/2509.20494…

Quantum statistical mechanical gauge invariance
We address gauge invariance in the statistical mechanics of quantum many-body systems. The gauge transformation acts on the position and momentum degrees of freedom and it is represented by a quantum shifting superoperator that maps quantum observables onto each other. The shifting superoperator is anti-self-adjoint and it has noncommutative Lie algebra structure. These properties induce exact equilibrium sum rules that connect locally-resolved force and hyperforce densities for any given obser…

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
Joshua Matthes, Silas Robitschko, Johanna M\"uller, Sophie Hermann, Florian Samm\"uller, Matthias Schmidt
https://arxiv.org/abs/2509.19837

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
We formulate gauge invariance for the equilibrium statistical mechanics of classical multi-component systems. Species-resolved phase space shifting constitutes a gauge transformation which we analyze using Noether's theorem and shifting differential operators that encapsulate the gauge invariance. The approach yields exact equilibrium sum rules for general mixtures. Species-resolved gauge correlation functions for the force-force and force-gradient pair correlation structure emerge on the two-b…

The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes
Christiane K. M. Klein
https://arxiv.org/abs/2509.00978 https://arxiv.org/…

The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes
The quantization of linearized gravity on black hole spacetimes and the construction of states for that theory is a sought-after, yet difficult achievement. One of the main reasons is the difficulty of reconciling the positivity and gauge invariance of potential states. On Kerr spacetimes, the spin-2 Teukolsky scalars express the same degrees of freedom as the metric perturbations, up to pure gauge and radiative solutions, while avoiding the issue of gauge. In this work, we therefore explore th…

Generalized Mandelstam-Leibbrandt regularization
Jorge Alfaro
https://arxiv.org/abs/2510.01200 https://arxiv.org/pdf/2510.01200

Generalized Mandelstam-Leibbrandt regularization
Algebraic non-covariant gauges are used often in string theory, Chern-Simons theory, gravitation and gauge theories. Loop integrals, however, have spurious singularities that need to be regularized. The most popular and consistent regularization is the Mandelstam- Leibbrandt(ML) prescription. This paper extends the ML prescription outside the light cone. It shares all the properties of light-cone ML regularization: It preserves naive power counting and gauge invariance. Moreover, using di…

Gluon Condensate via Dirac Spectral Density: IR Phase, Scale Anomaly and IR Decoupling
Ivan Horv\'ath
https://arxiv.org/abs/2509.03509 https://arxiv.or…

Gluon Condensate via Dirac Spectral Density: IR Phase, Scale Anomaly and IR Decoupling
Quark and gluon scalar densities, $\langle \barψ ψ\rangle$ and $\langle F^2 \rangle$, reflect the degree of scale-invariance violations in SU(N) gauge theories with fundamental quarks. It is known that $\langle \barψ ψ\rangle$ can be usefully scale-decomposed via spectral density $ρ(λ)$ of Dirac modes. Here I give such formula for $\langle F^2 \rangle$, which reveals that gluon condensate is a strictly UV quantity. For the recently-found IR phase [1,2], where the infrared (IR) degrees of …

Replaced article(s) found for hep-lat. https://arxiv.org/list/hep-lat/new
[1/1]:
- Gauge invariance and color charge fluctuations
Thomas D. Cohen
https://

Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
Aslam Halder
https://arxiv.org/abs/2509.23763 https://arx…

Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective massless NC Dirac field theory, incorporating the Seiberg-Witten (SW) map alongside the Moyal star product. Using this framework, we derive a manifestly gauge-invariant Hamiltonian for a massless Dirac particle, which serves as the basis for studying the relat…

The nuts and bolts of gauge invariance of heat transport
Stefano Baroni
https://arxiv.org/abs/2509.17386 https://arxiv.org/pdf/2509.17386

The nuts and bolts of gauge invariance of heat transport
In this work I revisit the notion of gauge invariance in thermal transport and show, in the simplest and most general possibile terms, why heat conductivity is unaffected by the specific choice of energy density. I provide the minimal and general conditions under which any two energy densities, though differing locally, lead to the same heat conductivity within the Green-Kubo framework. The relevance of gauge invariance in heat-transport simulations performed with machine-trained neural-network…

One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
Giorgio Comitini
https://arxiv.org/abs/2509.23889 https://

One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
With the aim of looking for signatures of deconfinement, the poles and the spectral function of the Landau-gauge gluon propagator are investigated at one loop, vanishing spatial momentum and finite temperature within the framework of the screened massive expansion of pure Yang-Mills theory and of full QCD. When computed using both temperature-independent parameters optimized by principles of gauge invariance and temperature-dependent parameters obtained by fitting lattice data at zero Matsubara…

Crosslisted article(s) found for cond-mat.soft. https://arxiv.org/list/cond-mat.soft/new
[1/1]:
- Quantum statistical mechanical gauge invariance
Johanna M\"uller, Matthias Schmidt

Precision calculation of $^3$He$(\alpha,\gamma)^7$Be for solar physics
Ratna Khadka, Ling Gan, Renato Higa, Gautam Rupak
https://arxiv.org/abs/2509.24931 https://

Precision calculation of $^3$He$(α,γ)^7$Be for solar physics
We calculate the cross section for radiative capture $^3$He$(α,γ)^7$Be at next-to-next-to-leading order (NNLO). At this order of perturbation, momentum dependent two-body currents make their first appearance. We provide a model-independent construction of these currents from gauge and Galilean invariance, where the general framework for constructing higher-order two-body currents in low-energy effective field theories becomes evident. The $^3$He$(α,γ)^7$Be astrophysical S-factor $S_{34}(0)=…

Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
Shoki Koyanagi, Hyeonseok Yang, Yoshitaka Tanimura
https://arxiv.org/abs/2509.11195

Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
We introduce U(1)-QHFPE, a non-Markovian and non-perturbative open quantum dynamics software package for solving quantum Fokker-Planck equations incorporating gauge fields within the Hierarchical Equations of Motion (HEOM) formalism. The framework rigorously preserves gauge invariance and rotational symmetry, enabling accurate simulations of transport phenomena such as the Aharonov-Bohm effect under strong system-bath coupling. In this regime, quantum entanglement between the system and bath em…

Probing one-loop--induced decay channel $H^\pm \to W^\pm\gamma$ in the Two Higgs Doublet Models at muon-TeV colliders
Dzung Tri Tran (Duy Tan Uni.), Quang Hoang-Minh Pham (Duy Tan Univ.), Khoa Ngo-Thanh Ho (Duy Tan Univ.), Khiem Hong Phan (Duy Tan Univ.)
https://arxiv.org/abs/2509.08417

Probing one-loop--induced decay channel $H^\pm \to W^\pmγ$ in the Two Higgs Doublet Models at muon-TeV colliders
In this work, we study the one-loop--induced decay channel $H^{\pm} \rightarrow W^{\pm}γ$ in the general $\mathcal{R}_ξ$ gauge within Two Higgs Doublet Models. We analytically verify the gauge invariance ($ξ$-independence), ultraviolet finiteness, and renormalization-scale independence of the one-loop form factors, thereby confirming the consistency of our calculations. On the phenomenological side, we perform a parameter scan of the Type-I THDM and, based on the viable parameter space, eval…

Role of Ward-Takahashi identity in an electron-phonon coupled system -- Revisiting phonon shift current
Takahiro Morimoto, Naoto Nagaosa
https://arxiv.org/abs/2508.15347 https:/…

Role of Ward-Takahashi identity in an electron-phonon coupled system -- Revisiting phonon shift current
We study bulk photovoltaic effects in electron-phonon coupled systems. The conservation of current or gauge invariance, manifested as the Ward-Takahashi identity, plays an essential role in the analysis of the Feynman diagrams, and the leading order contribution to the phonon shift current is identified accordingly. The leading order contribution essentially arises from the electric polarization carried by optically excited phonons, where the shift current is generated due to a change of electr…

Crosslisted article(s) found for cond-mat.soft. https://arxiv.org/list/cond-mat.soft/new
[1/1]:
- Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
Matthes, Robitschko, M\"uller, Hermann, Samm\"uller, Schmidt

Quantum Yang-Mills Charges in Strongly Coupled 2D Lattice QCD with Three Flavors
Paulo A. Faria da Veiga, Luiz A. Ferreira, Henrique Malavazzi, Ravi Mistry
https://arxiv.org/abs/2509.22790

Quantum Yang-Mills Charges in Strongly Coupled 2D Lattice QCD with Three Flavors
We investigate the quantum properties of the truly gauge-invariant and conserved charges of two-dimensional Yang-Mills theories, focusing on lattice QCD in the strong coupling regime. The construction of those charges uses the integral version of the (1+1)-dimensional Yang-Mills equations, and they correspond to the eigenvalues of a charge operator. The gauge invariance of the charges suggests that they are not confined, hence hadronic states may carry them. Using the Feynman-Kac formalism, we …

Projector Method for Nonlinear Light-Matter Interactions and Quantum Geometry
Zhichao Guo, Zhuocheng Lu, Hua Wang
https://arxiv.org/abs/2509.09216 https://…

Projector Method for Nonlinear Light-Matter Interactions and Quantum Geometry
We develop a systematic projector-based Feynman diagram framework that intrinsically encodes quantum geometry for nonlinear optical responses. By explicitly incorporating geometric quantities such as the quantum geometric tensor, quantum hermitian connection, and triple phase product, the method ensures component-wise gauge invariance and seamlessly extends to multiband systems, enabling accurate calculations of quantum geometry and nonlinear optical responses. We derive the projector formalism…

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[2/2]:
- Gauge invariance and color charge fluctuations
Thomas D. Cohen
https://

QCD Effective Lagrangian and Condensation of Chromomagnetic Flux Tubes
George Savvidy
https://arxiv.org/abs/2509.11375 https://arxiv.org/pdf/2509.11375

QCD Effective Lagrangian and Condensation of Chromomagnetic Flux Tubes
Vacuum polarisation effects induced by the sourceless solutions of the Yang-Mills equation are investigated. These solutions represent oppositely oriented chromomagnetic flux tubes permeating the space in all directions. We review and prove the gauge invariance of the effective Lagrangian on sourceless gauge fields and present a number of alternative methods allowing to compute the effective Lagrangian. We compute the effective Lagrangian on chromomagnetic flux tube solutions and demonstrate th…

Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory
J. W. Moffat, E. J. Thompson
https://arxiv.org/abs/2508.02747 https://

Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory
We present a unified, ultraviolet-finite framework for the full Standard Model particle mass spectrum based on the Holomorphic Unified Field Theory augmented by nonlocal entire-function regulators. Starting from a single holomorphic action on the complexified spacetime manifold $M^4_{\mathbb{C}}$, with a Hermitian metric unifying gravity, gauge and matter sectors, we embed exponential regulator insertions to render all loop integrals finite without breaking gauge or diffeomorphism invariance. A…

Broken Weyl Gravity: Dynamical Torsion and Generalized Proca
Lucas Fern\'andez Sarmiento, Irvin Mart\'inez Rodr\'iguez
https://arxiv.org/abs/2510.08778 https://

Broken Weyl Gravity: Dynamical Torsion and Generalized Proca
We develop a symmetry-based construction of gravity from a phase in which Weyl invariance is spontaneously broken. Using the coset formalism, the dilaton acts as a Stuckelberg field for the gauged scale symmetry, giving the Weyl gauge field a mass of order $\mathcal{O}(M_{\rm Pl})$. The resulting gauge-gravity interactions fall within the ghost-free generalized Proca framework. We further show that the Weyl field can be exchanged for a propagating vector component of torsion, providing a natura…

Comment on "Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory"
James M. Cline
https://arxiv.org/abs/2508.05280 https://

Comment on "Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory"
In arXiv:2508.02747 a theory that unifies gravity and the Standard Model was proposed. It is finite, unitary, and accurately predicts all parameters of the Standard Model in terms of only two input parameters. Here I point out one prediction that was overlooked, namely that the photon acquires a mass at one loop due to the lack of gauge invariance in the nonlocal interaction vertices of the proposed model.

Zeroth law of black hole thermodynamics for higher derivative Proca theories
Parthajit Biswas, Alokananda Kar, Anowar Shaikh
https://arxiv.org/abs/2509.09516 https://

Zeroth law of black hole thermodynamics for higher derivative Proca theories
We prove the constancy of surface gravity across a Killing horizon (not necessarily of bifurcate type) in arbitrary higher curvature theories of gravity coupled to Proca fields $-$ vector fields lacking $U(1)$ gauge invariance $-$ thus generalizing the zeroth law to this broader class of theories. This is achieved within the framework of effective field theory, where higher curvature contributions are treated perturbatively around the leading two derivative theory. The result holds to arbitrary…

Electron-positron scattering at finite temperature in Podolsky electrodynamics
D. S. Cabral, L. A. S. Evangelista, L. H. A. R. Ferreira, A. F. Santos
https://arxiv.org/abs/2509.06568

Electron-positron scattering at finite temperature in Podolsky electrodynamics
The electron-positron annihilation process is investigated within the framework of Podolsky's generalized electrodynamics at finite temperature. In this theory, a higher-derivative term modifies the photonic kinetic sector, introducing a massive mode while preserving gauge invariance. Thermal effects are incorporated using the real-time Thermo Field Dynamics formalism. The total cross section is calculated, and the individual contributions of the Podolsky parameter and thermal effects are analy…