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We consider two simple criteria for when a physical theory should be said to be "generally covariant", and we argue that these criteria are not met by Yang-Mills theory, even on geometric formulations of that theory. The reason, we show, is…

History and Philosophy of Physics · Physics 2025-03-14 Eleanor March , James Owen Weatherall

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has propagating degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the…

High Energy Physics - Theory · Physics 2009-10-30 Viqar Husain

Gauge theory is the foundation of the particle physics Standard Model (SM). Considering the multiple gauge sectors for one gauge transformation, we study the generalized Abelian and non-Abelian (Yang-Mills theory) gauge theories. We first…

High Energy Physics - Phenomenology · Physics 2018-08-15 Tianjun Li

We prove that static, spherically symmetric, asymptotically flat, regular solutions of the Einstein-Yang-Mills equations are unstable for arbitrary gauge groups. The proof involves the following main steps. First, we show that the frequency…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

We continue the study of a local, gauge invariant Yang-Mills action containing a mass parameter, which we constructed in a previous paper starting from the nonlocal gauge invariant mass dimension two operator F_{\mu\nu} (D^2)^{-1}…

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , H. Verschelde

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

High Energy Physics - Theory · Physics 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group. The main motivation is to present a proof which does not…

Mathematical Physics · Physics 2017-10-11 Alexander N. Efremov , Riccardo Guida , Christoph Kopper

We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main…

High Energy Physics - Theory · Physics 2019-05-03 Ilya Perapechka , Yakov Shnir

We study the lattice model for the supersymmetric Yang-Mills theory in two dimensions proposed by Cohen, Kaplan, Katz, and Unsal. We re-examine the formal proof for the absence of susy breaking counter terms as well as the stability of the…

High Energy Physics - Lattice · Physics 2016-09-01 Tetsuya Onogi , Tomohisa Takimi

We review the attempt to construct massless gauge field theories in Minkowski spacetime that go under the name of HS-YM. We present their actions and their symmetries. We motivate their gravitational interpretation. In particular we show…

High Energy Physics - Theory · Physics 2021-03-24 L. Bonora , S. Giaccari

We construct a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills theory, in a form suitable for calculations without gauge fixing at any order of perturbation theory. The effective cutoff is incorporated via a…

High Energy Physics - Theory · Physics 2009-02-10 Stefano Arnone , Tim R. Morris , Oliver J. Rosten

A gauge field model, which simultaneously has strict local gauge symmetry and massive gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In the limit $\alpha \longrightarrow 0$, the gauge field model discussed in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ning Wu

We consider a N=2 supersymmetric Yang-Mills-Chern-Simons model, coupled to matter, in the Wess-Zumino gauge. The theory is characterized by a superalgebra which displays two kinds of obstructions to the closure on the translations: field…

High Energy Physics - Theory · Physics 2008-02-03 Nicola Maggiore , Olivier Piguet , Mathieu Ribordy

The status of several representative gauge theories on various quantum space-times, mainly focusing on Yang-Mills type extensions together with a few matrix model formulations is overviewed. The common building blocks are derivation based…

High Energy Physics - Theory · Physics 2025-10-23 Jean-Christophe Wallet

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

The explicit form of non-Abelian noncommutative supersymmetric (SUSY) chiral anomaly is calculated, the Wess-Zumino consistency condition is verified and the correspondence of the Yang-Mills sector to the previously obtained results is…

High Energy Physics - Theory · Physics 2007-05-23 L. O. Chekhov , A. K. Khizhnyakov

We present a classification of the possible regular, spherically symmetric solutions of the Einstein-Yang-Mills system which is based on a bundle theoretical analysis for arbitrary gauge groups. It is shown that such solitons must be of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

A new mechanism giving the massive gauge bosons in Yang-Mills theory is proposed in this letter. The masses of intermediate vector bosons can be automatically given without introducing Higgs scalar boson. Furthermore the relation between…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xin-Bing Huang