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The canonical quantization is performed at a light-front surface for the SU(N) Yang-Mills theory. The Weyl gauge is imposed as a gauge condition. The suitable parameterization is chosen for the transverse gauge field components in order to…

High Energy Physics - Theory · Physics 2007-05-23 Jerzy A. Przeszowski

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

We briefly review the history of Mach's principle and discuss its significance in the light of modern physics.

History and Philosophy of Physics · Physics 2008-04-01 Herbert Lichtenegger , Bahram Mashhoon

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

The character of jets is dominated by the influence of intrinsically nonabelian gauge dynamics. These proven insights into fundamental physics ramify in many directions, and are far from being exhausted. I will discuss three rewarding…

High Energy Physics - Phenomenology · Physics 2016-11-23 Frank Wilczek

The aim of this introductory lecture is to review the arguments, according to which the symmetry properties of the strong interaction reveal themselves at low energies. I first discuss the symmetries of QCD, then sketch the method used to…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Leutwyler

The concept of gauge invariance is one of the most subtle and useful concepts in modern theoretical physics. It is one of the Standard Model cornerstones. The main benefit due to the gauge invariance is that it can permit the comprehension…

High Energy Physics - Theory · Physics 2015-06-05 E. M. C. Abreu , J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira

A description of motion is proposed, adapted to the composite bundle interpretation of Poincar\'e Gauge Theory. Reference frames, relative positions and time evolution are characterized in gauge-theoretical terms. The approach is…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Romualdo Tresguerres

Quantum mechanics manifests in experimental observations in several ways. Hauge et al. (1987) and Leavens et al. (1989) had pointed out that interference effects dominate a physical quantity called injectance. We show that, very…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Urbashi Satpathi , P. Singha Deo

Gravity can be considered as an effective quantum field theory with reliable, but limited predictions. Though the influence of gravity on gauge and other interactions of elementary particles is still an open question. We calculate the…

High Energy Physics - Phenomenology · Physics 2017-06-15 G. Cynolter , E. Lendvai

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

The structure of electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potential is defined uniquely. Therefore, the approach where Maxwell…

General Physics · Physics 2007-05-23 E. Comay

A simple general proof of gauge invariance in QED is given in the framework of causal perturbation theory. It illustrates a method which can also be used in non-abelian gauge theories.

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael Duetsch , Tobias Hurth , Guenter Scharf

A brief overview is given of recent progress in understanding the dynamics of hot gauge theories.

High Energy Physics - Theory · Physics 2007-05-23 Laurence G. Yaffe

In this contribution we give an introduction to the foundations and methods of lattice gauge theory. Starting with a brief discussion of the quantum mechanical path integral, we develop the main ingredients of lattice field theory:…

High Energy Physics - Lattice · Physics 2007-05-23 G. Münster , M. Walzl

This paper presents three aspects by which the Weyl geometric generalization of Riemannian geometry, and of Einstein gravity, sheds light on actual questions of physics and its philosophical reflection. After introducing the theory's…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Erhard Scholz

A pedagogical but concise overview of fiber bundles and their connections is provided, in the context of gauge theories in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing…

Differential Geometry · Mathematics 2022-08-19 Adam Marsh

We start recalling with critical eyes the mathematical methods used in gauge theory and prove that they are not coherent with continuum mechanics, in particular the analytical mechanics of rigid bodies or hydrodynamics, though using the…

Analysis of PDEs · Mathematics 2015-06-17 Jean-François Pommaret

In the early 1970s, after a slow start, and lots of hurdles, Quantum Field Theory emerged as the superior doctrine for understanding the interactions between relativistic sub-atomic particles. After the conditions for a relativistic field…

High Energy Physics - Theory · Physics 2016-10-12 Gerard 't Hooft

The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fields. Also, it suggests ways to generalizing gauge theories.

High Energy Physics - Theory · Physics 2015-06-11 Grigorii Pivovarov
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