Canonical brackets from continuous symmetries: Abelian 2-form gauge theory

2011/05/07 by Saurabh Gupta, R. Kumar, Gupta, Saurabh +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.1105.1446

LaTeX file, 16 pages, No figures

arxiv created 2011/05/07 · openalex publication_date 2011/05/07 · arxiv updated 2011/05/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive the canonical (anti-)commutation relations amongst the creation and annihilation operators of the various basic fields, present in the four (3 + 1)-dimensional (4D) free Abelian 2-from gauge theory, with the help of continuous symmetry transformations within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We show that all the six continuous symmetries of the theory lead to the exactly the same non-vanishing (anti-)commutator amongst the creation and annihilation operators of the normal mode expansion of the basic fields of the theory.

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