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We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry…

High Energy Physics - Phenomenology · Physics 2022-04-20 Aldo Deandrea , Fabio Dogliotti , Dimitrios Tsimpis

A non-perturbative quantization of the Yang-Mills energy-mass functional with a compact semi-simple gauge group entails an infinite discrete energy-mass spectrum of gauge bosons. The bosonic spectrum is bounded from below, and has a…

Mathematical Physics · Physics 2012-01-20 Alexander Dynin

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs theory with a fundamental Higgs doublet on a spacial lattice. In particular, we study energy transfer and equilibration processes among the gauge and Higgs…

High Energy Physics - Theory · Physics 2009-09-02 Ricardo Fariello , Hilmar Forkel

We introduce the concept of general gauge theory which includes Yang-Mills models. In the framework of the causal approach and show that the anomalies can appear only in the vacuum sector of the identities obtained from the gauge invariance…

High Energy Physics - Theory · Physics 2008-11-26 Dan Radu Grigore

We analyze the symmetry group of massive Yang-Mills theories and their quantization strongly motivated by an already proposed alternative to the Standard Model of electroweak interactions without Higgs. In these models the mass generation…

High Energy Physics - Theory · Physics 2015-05-20 V. Aldaya , M. Calixto , F. F. López-Ruiz

It has been known for some time that General Relativity can be regarded as a Yang-Mills-type gauge theory in a symmetry broken phase. In this picture the gravity sector is described by an $SO(1,4)$ or $SO(2,3)$ gauge field…

General Relativity and Quantum Cosmology · Physics 2015-06-12 H. F. Westman , T. G. Zlosnik

In a previous publication [1], local gauge invariant geometric variables were introduced to describe the physical Hilbert space of Yang-Mills theory. In these variables, the electric energy involves the inverse of an operator which can…

High Energy Physics - Theory · Physics 2010-11-19 Peter E. Haagensen , Kenneth Johnson , C. S. Lam

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

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel

We consider the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interaction Lagrangian for an arbitrary number of Higgs fields.

High Energy Physics - Theory · Physics 2015-05-12 Dan-Radu Grigore

Yang-Mills-Higgs theory offers a rich set of physics. In particular, in some region of its parameter space it has QCD-like behavior, while in some other range it is Higgs-like. Furthermore, for the choice of the gauge group SU(2) and an…

High Energy Physics - Lattice · Physics 2014-06-06 Axel Maas , Tajdar Mufti

I'll begin with a brief review of the triumph of Yang-Mills theory at particle accelerators, a development that began some years after their historic paper. This story reached a culmination, or at least local extremum, with the discovery at…

High Energy Physics - Phenomenology · Physics 2016-04-20 George Sterman

The spectrum of the massive CPT-odd Yang-Mills propagator with Lorentz violation is performed at tree-level. The modification is due to mass terms generated by the exigence of multiplicative renormalizability of Yang-Mills theory with…

High Energy Physics - Theory · Physics 2016-11-02 T. R. S. Santos , R. F. Sobreiro , A. A. Tomaz

This paper explores the argument structure of the concept of spontaneous symmetry breaking in the electroweak gauge theory of the Standard Model: the so-called Higgs mechanism. As commonly understood, the Higgs argument is designed to…

General Physics · Physics 2008-08-15 Holger Lyre

A topological monopole-like field configuration exists for Yang-Mills gauge fields in a 4+1 dimensions. When the extra dimension is compactified to 3+1 dimensions with periodic lattice boundary conditions, these objects reappear in the low…

High Energy Physics - Theory · Physics 2009-11-07 Christopher T. Hill

We consider an external gauge potential minimally coupled to a renormalisable scalar theory on 4-dimensional Moyal space and compute in position space the one-loop Yang-Mills-type effective theory generated from the integration over the…

High Energy Physics - Theory · Physics 2008-11-26 Axel de Goursac , Jean-Christophe Wallet , Raimar Wulkenhaar

We provide an example of nonlocal scalar electrodynamics that allows the same Higgs mechanism so successful in local field theory. The nonlocal action is structured in order to have the same exact solutions and the same equations of motion…

High Energy Physics - Theory · Physics 2021-06-30 Leonardo Modesto

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true…

High Energy Physics - Theory · Physics 2013-01-17 Dan-Radu Grigore