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A Homothetic Gauge Theory
Fereidoun Sabetghadam
https://arxiv.org/abs/2507.06153 https://arxiv.org/pdf/2507.06153

A Homothetic Gauge Theory
While the principle of local gauge invariance forms the bedrock of modern physics, the symmetry of scale invariance has traditionally been treated on a different footing. This paper develops a \emph{homothetic gauge theory} (HGT) that elevates local scale transformations to a genuine gauge symmetry, placing them within the same geometric framework as conventional interactions. We introduce a novel mathematical structure based on an extended vector bundle that linearizes the action of local scal…

Grand-unification Theory Atlas: Standard Model and Beyond
Giacomo Cacciapaglia, Aldo Deandrea, Konstantinos Kollias, Francesco Sannino
https://arxiv.org/abs/2507.06368

Grand-unification Theory Atlas: Standard Model and Beyond
Under a reasonable set of ab-initio assumptions, we define and chart the atlas of simple gauge theories with families of fermions whose masses are forbidden by gauge invariance. We propose a compass to navigate the atlas based on counting degrees of freedom. When searching for Grand-unification Theories with three matter generations, the free energy singles out the SU(5) Georgi-Glashow model as the minimal one, closely followed by SO(10) with spinorial matter. The atlas also defines the dryland…

A basis of the gradient flow exact renormalization group for gauge theory
Hidenori Sonoda, Hiroshi Suzuki
https://arxiv.org/abs/2506.23567 https://

A basis of the gradient flow exact renormalization group for gauge theory
The gradient flow exact renormalization group (GFERG) is a variant of the exact renormalization group (ERG) for gauge theory that is aimed to preserve gauge invariance as manifestly as possible. It achieves this goal by utilizing the Yang--Mills gradient flow or diffusion for the block-spin process. In this paper, we formulate GFERG by the Reuter equation in which the block spinning is done by Gaussian integration. This formulation provides a simple understanding of various points of GFERG, unr…

Lorentz Invariant Equations for Multiplets and Their Gauge
Mayer Humi
https://arxiv.org/abs/2507.02875 https://arxiv.org/pdf/2507.028…

Lorentz Invariant Equations for Multiplets and Their Gauge
This paper explores the existence of kinematical gauge transformations for Lorentz invariant equations which describe a multiplet of two spin $\frac{1}{2}$ particles. For this multiplet the additional gauge invariance can be in form of three different groups of transformation. This gauge is absent when the particles are treated separately. Some basic properties of the solutions for these "multiplet equations" are analyzed.

Quantum simulation of fermionic non-Abelian lattice gauge theories in $(2 1)$D with built-in gauge protection
Gaia De Paciani, Lukas Homeier, Jad C. Halimeh, Monika Aidelsburger, Fabian Grusdt
https://arxiv.org/abs/2506.14747

Quantum simulation of fermionic non-Abelian lattice gauge theories in $(2+1)$D with built-in gauge protection
Recent advancements in the field of quantum simulation have significantly expanded the potential for applications, particularly in the context of lattice gauge theories (LGTs). Maintaining gauge invariance throughout a simulation remains a central challenge, especially for large-scale non-Abelian LGTs with dynamical matter, which are particularly complex in terms of engineering for experiments. Gauge-symmetry breaking is inevitable in established rishon-based schemes for alkaline-earth-like ato…

$N=1$ Supersymmetry invariance of the Abelian Stueckelberg model
M. A. L. Capri, D. R. Granado, I. F. Justo, L. S. S. Mendes
https://arxiv.org/abs/2506.17021

$N=1$ Supersymmetry invariance of the Abelian Stueckelberg model
In this paper we investigate the invariance of the Abelian Stueckelberg-like model under gauge and $N=1$ supersymmetric (SUSY) transformations in (3+1) spacetime. We show that the Stueckelberg-like mass term explicitly breaks $N=1$ supersymmetry under the Wess-Zumino (WZ) gauge condition. Nevertheless, we demonstrate that the WZ gauge is not needed in order to construct an action independent of compensating fields, manifestly supersymmetric and gauge invariant.

Effective Field Theory of Perturbations on Arbitrary Black Hole Backgrounds with Spacelike Scalar Profile
Shinji Mukohyama, Emeric Seraille, Kazufumi Takahashi, Vicharit Yingcharoenrat
https://arxiv.org/abs/2507.02066

Effective Field Theory of Perturbations on Arbitrary Black Hole Backgrounds with Spacelike Scalar Profile
We develop the effective field theory (EFT) of perturbations in the context of scalar-tensor theories with a spacelike scalar profile on arbitrary black hole backgrounds. Our construction of the EFT is based on the fact that in the unitary gauge, where the scalar field is chosen as one of the spatial coordinates, the background scalar field spontaneously breaks the diffeomorphism invariance along the direction of its gradient. The residual symmetry on a timelike hypersurface of constant scalar …

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
D. C. Jacobsen
https://arxiv.org/abs/2506.00284 htt…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
In this work we present a constructive proof that pure SU(3) Yang-Mills theory on R^4 exists as a nontrivial Wightman quantum field theory and exhibits a strictly positive mass gap. Our approach embeds the four-dimensional gauge theory as the zero-mode sector of a five-dimensional orbifold regulator that preserves gauge invariance and reflection positivity. A convergent joint polymer expansion on the Wilson lattice provides uniform control of the continuum (a->0) and infinite-volume (L->inf) li…

Quarks in Hadrons and Nuclei Part 1: Quark Structure of Nucleon
G. Musulmanbekov
https://arxiv.org/abs/2506.23027 https://arxiv.org/p…

Quarks in Hadrons and Nuclei Part 1: Quark Structure of Nucleon
We propose a semi-empirical quark model of nucleon structure, so-called, Strongly Correlated Quark Model, SCQM, which possess the features of both non-relativistic and relativistic quark models. Based on SU(3) color symmetry it includes the main features of QCD: local gauge invariance, asymptotic freedom, and chiral symmetry breaking. This First Part of the paper is devoted to description of the model, SCQM, and in the forthcoming Second Part we will apply the model to built the nuclear structu…

Transverse diffeomorphism invariant spin-2 theories via gauge invariants
D. Dalmazi, Luiz G. M. Ramos
https://arxiv.org/abs/2506.24047 https://

Transverse diffeomorphism invariant spin-2 theories via gauge invariants
We analyze the particle spectrum of a second-order (in derivatives) theory based on a rank-2 tensor field with both symmetric and antisymmetric components. By demanding the existence of a propagating massless spin-2 particle and invariance under transverse diffeomorphisms, we derive a new class of stable models with two massless scalars and a single massless spin-2 particle. A natural nonlinear completion is proposed in terms of a dynamical metric field. The identification of the spectrum is ca…

This https://arxiv.org/abs/2504.08612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Scalar subleading soft theorems from an infinite tower of charges
We investigate the emergence of infinite-dimensional symmetries in the absence of gauge invariance by analyzing massless scalar theories. We construct an infinite tower of charges that arise from the subleading equations of motion at null infinity and are built from specific combinations of asymptotic field coefficients. Interestingly, these expressions are finite from the outset, requiring no holographic renormalization. By carefully analyzing the dynamics at spatial infinity, we show that thi…

Compton amplitude and Contact term(s) in the Spinor Helicity formalism
Aakash Kumar, Arnab Rudra, Rahul Shaw
https://arxiv.org/abs/2506.12431 https://

Compton amplitude and Contact term(s) in the Spinor Helicity formalism
In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the massless polarization vector(s). However, this choice must be irrelevant in any gauge-invariant observable. We use this principle to determine contact term for Electromagnetic Compton amplitude. We considered three-point function between two massive particles \& a…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
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- Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equat...
Swagato Mukherjee, Vladimir V. Skokov, Andrey Tarasov, Shaswat Tiwari