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Gauge-invariant matter field actions from an iterative Noether coupling

2017/11/30 by Aniket Basu, Parthasarathi Majumdar, Indrajit Mitra · 5 citations
Mathematics · Physics and Astronomy · #Abelian group #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge anomaly #Gauge boson #Gauge covariant derivative #Gauge fixing #Gauge group #Gauge symmetry #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Invariant (physics) #Mathematical descriptions of the electromagnetic field #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum gauge theory #Supersymmetric gauge theory #Theoretical physics #hep-th #physics.gen-ph

paper · pdf · doi:10.1103/physrevd.98.105018

published in Physical review. D/Physical review. D. 98(10) (American Physical Society) · 11 pages, emphasized our motivation, added an endnote and a reference; published version

openalex created_date 2018/03/29 · openalex publication_date 2018/11/30 · arxiv created 2019/01/10 · arxiv updated 2019/01/28 · openalex updated_date 2026/08/05

Abstract

Generalizing Deser's work on pure SU(2) gauge theory, we consider scalar, spinor, and vector matter fields transforming under arbitrary representations of a non-Abelian, compact, semisimple internal Lie group, which is a global symmetry of their actions. These matter fields are coupled to Abelian gauge fields through the process of iterative Noether coupling. This procedure is shown to yield precisely the same locally gauge invariant theory (with the non-Abelian group as the gauge group) as obtained by the usual minimal coupling prescription originating from the gauge principle. Prospects of this nongeometrical formulation, towards a better understanding of physical aspects of gauge theories, are briefly discussed.

Citations