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Gauge Fixing in the Chain by Chain Method

1999/12/31 by A Shirzad, A. Shirzad, Farhang Loran +3
Engineering · Mathematics · Physics and Astronomy · #Control and Stability of Dynamical Systems #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9912289

To appear in Int. J. Mod. Phys. A

openalex publication_date 1999/12/31 · arxiv created 2002/06/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent work we showed that for a Hamiltonian system with constraints, the set of constraints can be investigated in first and second class constraint chains. We show here that using this "chain by chain" method for an arbitrary system one can fix the gauges in the most economical and consistent way. We show that it is enough to assume some gauge fixing conditions conjugate to last elements of first class chains. The remaining necessary conditions would emerge from consistency conditions.

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