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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

Physical quantities in gauge theories have to be gauge-independent. However their evaluation can be greatly simplified by working in particular gauges. Since physical quantities have to be gauge invariant, it is important to establish an…

High Energy Physics - Phenomenology · Physics 2015-09-15 Andrea Quadri

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general {\it{less}} than the number of independent primary…

High Energy Physics - Theory · Physics 2011-09-15 Rabin Banerjee , Pradip Mukherjee , Biswajit Paul

We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contributions are coboundaries, up to super-renormalizable terms in…

High Energy Physics - Theory · Physics 2013-01-15 Dan-Radu Grigore

There are two ways to unify gravitational field and gauge field. One is to represent gravitational field as principal bundle connection, and the other is to represent gauge field as affine connection. Poincar\'{e} gauge theory and…

General Mathematics · Mathematics 2022-06-14 Zhao-Hui Man

The basic ideas and the important role of gauge principles in modern elementary particle physics are outlined. There are three theoretically consistent gauge principles in quantum field theory: the spin-1 gauge principle of electromagnetism…

High Energy Physics - Theory · Physics 2008-02-03 Daniel Z. Freedman

A basic problem of classical field theory, which has attracted growing attention over the past decade, is to find and classify all nonlinear deformations of linear abelian gauge theories. The first part of this paper summarizes and…

Mathematical Physics · Physics 2015-06-26 Stephen C. Anco

The basic premise of Quantum Mechanics, embodied in the doctrine of wave-particle duality, assigns both, a particle and a wave structure to the physical entities. The classical laws describing the motion of a particle and the evolution of a…

Quantum Physics · Physics 2007-05-23 S. R. Vatsya

A new approach extending the concept of geometric phases to adiabatic open quantum systems described by density matrices (mixed states) is proposed. This new approach is based on an analogy between open quantum systems and dissipative…

Mathematical Physics · Physics 2011-08-31 David Viennot , Jose Lages

This article is a review of modern approaches to gravity that treat the gravitational interaction as a type of gauge theory. The purpose of the article is twofold. First, it is written in a colloquial style and is intended to be a…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Andrew Randono

The logic of gauge theory is considered by tracing its development from general relativity to Yang-Mills theory, through Weyl's two gauge theories. A handful of elements---which for want of better terms can be called \emph{geometrical…

History and Philosophy of Physics · Physics 2017-07-03 Alexander Afriat

The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M. Durdevich's theory of quantum principal bundles.

Mathematical Physics · Physics 2021-12-02 Gustavo Amilcar Saldaña Moncada

Phenomena in gauge theory are often described in the physics literature via a specific choice of gauge. In foundational and philosophical discussions this is often criticized as introducing gauge dependence, and contrasted against (often…

History and Philosophy of Physics · Physics 2024-07-23 David Wallace

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between…

History and Philosophy of Physics · Physics 2025-04-09 James Owen Weatherall

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of…

High Energy Physics - Theory · Physics 2007-05-30 R. F. Sobreiro

We consider the dynamics of the classical $SU(2)$ Wu-Yang monopole problem and show a set of new directions for its analysis starting from a variational setting. This allows us to give a new interpretation of the monopole charge as a string…

High Energy Physics - Theory · Physics 2019-11-20 Frederik Nørfjand , Nikolaj Thomas Zinner

This study proposes that all the known fundamental forces including gravity may be described by local gauge theories. Gravitational, electroweak, and strong interactions on length scales from 10^{-33} cm to 10^{28} cm are systematically…

High Energy Physics - Phenomenology · Physics 2007-05-23 Heui-Seol Roh

Gauge theory approach to consideration of the Nambu-Goldstone bosons as gauge and vector fields represented by the Cartan forms of spontaneously broken symmetries, is discussed. The approach is generalized to describe the fundamental branes…

High Energy Physics - Theory · Physics 2017-03-16 A. A. Zheltukhin

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge…

High Energy Physics - Theory · Physics 2009-11-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

There is solid consensus among physicists and philosophers that, in gauge field theory, for a quantity to be physically meaningful or real, it must be gauge-invariant. Yet, every "elementary" field in the Standard Model of particle physics…

History and Philosophy of Physics · Physics 2025-01-23 Philipp Berghofer , Jordan François
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