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Related papers: Yang-Mills Replacement

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We study the empirical realisation of the memory effect in Yang-Mills theory, especially in view of the classical vs. quantum nature of the theory. Gauge invariant analysis of memory in classical U(1) electrodynamics and its observation by…

High Energy Physics - Theory · Physics 2019-06-12 Niko Jokela , K. Kajantie , Miika Sarkkinen

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

High Energy Physics - Theory · Physics 2010-04-05 E. Kraus , C. Rupp , K. Sibold

Soft symmetries for Yang-Mills theory are shown to correspond to the residual Hamiltonian action of the gauge group on the Ashtekar-Streubel phase space, which is the result of a partial symplectic reduction. The associated momentum map is…

Mathematical Physics · Physics 2024-03-22 Aldo Riello , Michele Schiavina

A quadratic Leibniz algebra $(\mathbb{V},[ \cdot, \cdot ],\kappa)$ gives rise to a canonical Yang-Mills type functional $S$ over every space-time manifold. The gauge fields consist of 1-forms $A$ taking values in $\mathbb{V}$ and 2-forms…

High Energy Physics - Theory · Physics 2019-06-26 Thomas Strobl

In Yang-Mills theory on a Euclidean Cauchy surface, the physical gauge group is often taken to be $\mathcal{G}^I/\mathcal{G}^\infty_0$, where $\mathcal{G}^I$ consists of boundary-preserving gauge transformations asymptoting to a constant,…

Mathematical Physics · Physics 2026-04-20 Silvester Borsboom , Hessel Posthuma

This paper discusses the canonical quantization of 1+1-dimensional Yang-Mills theory on a spacetime cylinder, from the point of view of coherent states, or equivalently, the Segal-Bargmann transform. Before gauge symmetry is imposed, the…

Quantum Physics · Physics 2009-11-06 Brian C. Hall

A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only…

High Energy Physics - Theory · Physics 2017-07-19 Marc Gillioz

We construct and study the Yang-Mills measure in two dimensions. According to the informal description given by the physicists, it is a probability measure on the space of connections modulo gauge transformations on a principal bundle with…

Probability · Mathematics 2007-05-23 Thierry Levy

We consider the $SU(2)$ Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of $L^2$ norm of the connection we break the gauge invariance and critical points are…

Analysis of PDEs · Mathematics 2026-05-01 Tristan Rivière

We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the…

High Energy Physics - Theory · Physics 2024-03-26 Leonardo Santilli , Richard J. Szabo

Alexei Kotov and Thomas Strobl have introduced a covariantized formulation of Yang-Mills-Higgs gauge theories whose main motivation was to replace the Lie algebra with Lie algebroids. This allows the introduction of a possibly non-flat…

Mathematical Physics · Physics 2021-01-21 Simon-Raphael Fischer

In this paper (Part I) and its sequels (Part II and Part III), we analyze the structure of the space of solutions to the epsilon-Dirichlet problem for the Yang-Mills equations on the 4-dimensional disk, for small values of the coupling…

Analysis of PDEs · Mathematics 2015-05-19 Takeshi Isobe , Antonella Marini

We write a gravity theory with Yang-Mills type action using the biconformal gauging of the conformal group. We show that the resulting biconformal Yang-Mills gravity theories describe 4-dim, scale-invariant general relativity in the case of…

High Energy Physics - Theory · Physics 2009-11-10 Lara B. Anderson , James T. Wheeler

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

We consider a semi-classical treatment, in the regime of weak gauge coupling, of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we consider…

High Energy Physics - Theory · Physics 2011-02-28 Fredrik Ohlsson

Second order corrections to the perturbative ground state wave functional and vacuum energy of a Yang-Mills theory are calculated in the temporal gauge. Using dimensional regularization, the concepts of renormalization and a running…

High Energy Physics - Theory · Physics 2017-01-19 Scott Chapman

We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure…

High Energy Physics - Theory · Physics 2023-07-04 Roberto Bonezzi , Christoph Chiaffrino , Felipe Diaz-Jaramillo , Olaf Hohm

The Yang-Mills (YM) equation in three spacetime dimensions (3D) can be modified to include a novel parity-preserving interaction term, with inverse mass parameter, in addition to a possible topological mass term. The novelty is that the…

High Energy Physics - Theory · Physics 2015-05-13 Alex S. Arvanitakis , Alexander Sevrin , Paul K. Townsend

A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be…

Mathematical Physics · Physics 2016-09-07 R. Aldrovandi , A. L. Barbosa

New clues for the best understanding of the nature of the symmetry-breaking mechanism are revealed in this paper. A revision of the standard gauge transformation properties of Yang-Mills fields, according to a group approach to quantization…

High Energy Physics - Theory · Physics 2008-11-26 M. Calixto , V. Aldaya