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A Way of Separating Dynamics and Gauge Transformations in Yang-Mills Theory

2020/08/14 by Natalia Gorobey, Gorobey, Natalia, Alexander Lukyanenko +3
Engineering · Mathematics · Physics and Astronomy · #BRST quantization #Character (mathematics) #Classical mechanics #Covariant Hamiltonian field theory #FOS: Physical sciences #Gauge symmetry #Gauge theory #Geometry #Geophysics and Sensor Technology #Geotechnical and Geomechanical Engineering #Hamiltonian (control theory) #Hamiltonian lattice gauge theory #Hamiltonian system #High Energy Physics - Theory (hep-th) #Introduction to gauge theory #Mathematical physics #Mathematics #Physics #Quantum #Quantum field theory #Quantum mechanics #Relativity and Gravitational Theory #Symmetry (geometry) #Theoretical physics #Transformation (genetics) #Yang–Mills theory #hep-th

paper · pdf · doi:10.48550/arxiv.2008.06291

published in arXiv (Cornell University) (Cornell University) · 4 pages

arxiv created 2020/08/14 · openalex publication_date 2020/08/14 · arxiv updated 2020/08/17 · openalex created_date 2020/08/21 · openalex updated_date 2026/08/06

Abstract

A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally imposed on the latter that ensures the classical character of their dynamics in quantum theory. As a result, additional dynamic variables and transverse physical degrees of freedom in the Hamiltonian are separated. The classical theory of the Yang-Mills field is considered.

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