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200 papers

In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras. In this review, we introduce the basic concepts and techniques of noncommutative physics…

High Energy Physics - Theory · Physics 2023-06-08 Shi-Dong Liang , Matthew J. Lake

An ab initio calculation of nuclear physics from Quantum Chromodynamics (QCD), the fundamental SU(3) gauge theory of the strong interaction, remains an outstanding challenge. Here, we discuss the emergence of key elements of nuclear physics…

Quantum Gases · Physics 2018-05-17 E. Rico , M. Dalmonte , P. Zoller , D. Banerjee , M. Bogli , P. Stebler , U. -J. Wiese

Motivated by the problems of interpretation of a nonlinear evolution equation in quantum mechanics we discuss in this contribution the concept of nonlinear gauge transformations, that has recently been introduced in joint work with Doebner…

Quantum Physics · Physics 2008-02-03 Peter Nattermann

We show in a new way that the general relativity action (and Lagrangian)in recent Einstein-Palatini formulation is equivalent in four dimensions to the action (and Lagrangian) of a gauge field. This paper is a continuation of the previous…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Marta Dudek , Janusz Garecki

The gauge invariant minimal couplings for a class of relativistic free matter fields with global symmetry (related to usual charge conservation) have been obtained by incorporating an iterative Noether mechanism. Non-relativistic reduction…

High Energy Physics - Theory · Physics 2025-10-15 Ashis Saha , Rabin Banerjee , Sunandan Gangopadhyay

In this paper, I consider a recent controversy about whether first-class constraints generate gauge transformations in the case of electromagnetism. I argue that there is a notion of gauge transformation, the extended notion, which is…

History and Philosophy of Physics · Physics 2024-07-24 Álvaro Mozota Frauca

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of…

High Energy Physics - Theory · Physics 2016-08-16 Jorge Alfaro , Pedro Labraña

After giving a panoramic view of the " text-book " interpretation of the new quantum mechanics, as a sequel to the old quantum theory, the conceptual basis of quantum theory since the Copenhagen Interpretation is reviewed in the context of…

Quantum Physics · Physics 2007-06-13 A. N. Mitra

The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non renormalizable gauge theories. It is shown…

High Energy Physics - Theory · Physics 2009-10-31 G. Barnich , P. A. Grassi

In the first part of this work (http://www.arxiv.org/abs/quant-ph/0509044), it was shown that the Klein-Gordon-Maxwell electrodynamics in the unitary gauge allows natural elimination of the particle wave function and describes independent…

Quantum Physics · Physics 2008-12-31 Andrey Akhmeteli

The Kaluza and Klein versions of Kaluza-Klein theory are reviewed and compared. The differences in the field equations of the two theories are related to the transformation properties of the metrics employed. Based on this comparison a…

High Energy Physics - Theory · Physics 2008-12-09 Terence V. Sewards

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity. It is formulated based on gauge principle which states that the correct symmetry for gravitational interactions should be gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ning Wu

A non-Abelian gauge theory describes the strong interactions among particles with the commutator of generators are non-zero. An $SU(3)$ gauge theory describes the interactions that lead to nuclear forces among particles. The Lagrangian…

High Energy Physics - Theory · Physics 2019-10-02 A. F. Santos , Faqir C. Khanna

We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory…

High Energy Physics - Theory · Physics 2023-03-28 Kilian Hersent , Philippe Mathieu , Jean-Christophe Wallet

In this paper, a general theory on unification of non-Abelian SU(N) gauge interactions and gravitational gauge interactions is discussed. SU(N) gauge interactions and gravitational gauge interactions are formulated on the similar basis and…

High Energy Physics - Theory · Physics 2008-11-26 Ning Wu

In this paper we overview the Poisson gauge theory focusing on the most recent developments. We discuss the general construction and its symplectic-geometric interpretation. We consider explicit realisations of the formalism for all…

High Energy Physics - Theory · Physics 2023-03-16 M. A. Kurkov

In this paper, we introduce and explore the properties of a new gauge choice for the vacuum Einstein equation inspired by the ingoing and outgoing radiation gauges (IRG, ORG) for the linearized vacuum Einstein equation introduced by…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Lars Andersson , Thomas Bäckdahl , Pieter Blue , Siyuan Ma

Invited talk at the PSI Summer School on Physics with Neutrinos, Zuoz, Switzerland, August 4-10, 1996.

High Energy Physics - Phenomenology · Physics 2008-02-03 Norbert Straumann

A previous derivation of the single-particle Schr\"odinger equation from statistical assumptions is generalized to an arbitrary number $N$ of particles moving in three-dimensional space. Spin and gauge fields are also taken into account. It…

Quantum Physics · Physics 2014-12-23 U. Klein