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A nilpotent symmetry of quantum gauge theories

2000/01/31 by Amitabha Lahiri
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #BRST quantization #Black Holes and Theoretical Physics #Continuous symmetry #Gauge boson #Gauge fixing #Gauge symmetry #Gauge theory #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Nilpotent #Physics #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum gauge theory #Quantum mechanics #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1088/0264-9381/18/18/307

published as Class.Quant.Grav. 18 (2001) 3885-3892 · RevTeX, 9 pages, several changes to include generalizations to quartic and higher ghost terms and non-linear gauges. Abstract changed. Final version to be published

arxiv created 2001/08/23 · openalex publication_date 2001/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

For the Becchi-Rouet-Stora-Tyutin invariant extended action for any gauge theory, there exists another off-shell nilpotent symmetry. For linear gauges, it can be elevated to a symmetry of the quantum theory and used in the construction of the quantum effective action. Generalizations for nonlinear gauges and actions with higher-order ghost terms are also possible.

Citations