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Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Holger Lyre

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

The formalism of classical particle dynamics is reinvestigated according to the basic requirement of causal consistency, and a new equation of particle dynamics, which is more general and more in line with classical mechanics experiments…

Astrophysics · Physics 2016-02-03 ChiYi Chen

An approach to gauge theory in the context of locally conformally flat space-time is described. It is discussed how there are a number of natural principal bundles associated with any given locally conformally flat space-time $X$. The…

Mathematical Physics · Physics 2025-06-25 John Mashford

The gauge principle is at the heart of a good part of fundamental physics: Starting with a group G of so-called rigid symmetries of a functional defined over space-time Sigma, the original functional is extended appropriately by additional…

High Energy Physics - Theory · Physics 2015-11-23 Alexei Kotov , Thomas Strobl

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This…

General Relativity and Quantum Cosmology · Physics 2007-06-23 Ll. Bel

The following notes are intended to provide a brief primer in plasma physics, introducing common definitions, basic properties and processes typically found in plasmas. These concepts are inherent in contemporary plasma-based accelerator…

Accelerator Physics · Physics 2020-07-10 Paul Gibbon

Early developments leading to renormalizable non-Abelian gauge theories for the weak, electromagnetic and strong interactions, are discussed from a personal viewpoint. They drastically improved our view of the role of field theory, symmetry…

High Energy Physics - Theory · Physics 2008-02-03 G. 't Hooft

These notes are intended to provide a brief primer in plasma physics, introducing common definitions, basic properties, and typical processes found in plasmas. These concepts are inherent in contemporary plasma-based accelerator schemes,…

Accelerator Physics · Physics 2017-05-31 P. Gibbon

In this article, the axioms presented in the first one are reformulated according to the special theory of relativity. Using these axioms, quantum mechanic's relativistic equations are obtained in the presence of electromagnetic fields for…

Quantum Physics · Physics 2008-02-03 L. S. F. Olavo

We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the…

Mathematical Physics · Physics 2007-05-23 Yuri A. Kubyshin

The current description of fundamental interactions is based on two theories with the status of standard models. The electromagnetic and nuclear interactions are described at a quantum level by the Standard Model of particle physics, using…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-09 Erwan Allys

When a theory shall be described at all scales, it is necessary to start from its elementary degrees of freedom. Herein, one possible chain of steps for this purpose will be briefly outlined for the example of a gauge theory, like QCD.…

High Energy Physics - Phenomenology · Physics 2011-07-22 Axel Maas

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids. Most of our understanding of many-body systems comes from…

Quantum Gases · Physics 2016-09-16 M. Dalmonte , S. Montangero

Non-standard topics underlying a partly original approach to gauge field theory are concisely introduced, expressing ideas that were broached in several papers and, eventually, exposed in an organized form in a recently published book. By…

Mathematical Physics · Physics 2020-11-16 Daniel Canarutto

I briefly review the conceptual developments that led to the Standard Model and discuss some of its remarkable qualitative features. On the way, I draw attention to several puzzling aspects that are beyond the reach of our present…

High Energy Physics - Phenomenology · Physics 2015-06-23 H. Leutwyler

This paper will consist of a selected, personal view of some of the issues associated with the intersections of nuclear and particle physics. As well as touching on the recent developments we will attempt to look at how those aspects of the…

High Energy Physics - Experiment · Physics 2015-09-29 Hugh E. Montgomery

Along with weaving together observations, experiments, and theoretical constructs into a coherent mesh of understanding of the world around us, physics over its past five centuries has continuously refined the base concepts on which the…

History and Philosophy of Physics · Physics 2017-04-05 A. R. P. Rau

We reformulate two dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincar\'e group. A non-minimal gauge coupling is necessary for the equivalence of the two descriptions. The classical…

High Energy Physics - Theory · Physics 2011-09-09 Dongsu Bak , Domenico Seminara

I present a concise review of where we stand in particle physics today. First, I will discuss the status of the Standard Model, its open problems and the expected answers from the LHC. Then I will briefly review the avenues for New Physics…

High Energy Physics - Phenomenology · Physics 2009-02-18 Guido Altarelli