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Equivalence of the Lagrangian and Hamiltonian BRST charges for the bosonic string in the harmonic and conformal gauges

Journal Article · · International Journal of Modern Physics A; (USA)
; ;  [1]
  1. State Univ. of New York, Stony Brook, NY (USA). Dept. of Physics
The authors consider the BRST formalism for the bosonic string in arbitrary gauges, both from the Hamiltonian and from the Lagrangian point of view. In the Hamiltonian formulation they construct the BRST charge Q(H) following the Tatalin-Fradkin-Fradkina-Vilkovisky (BFFV) formalism in phase space. In the Lagrangian formalism, they use the Noether procedure to construct the BRST charge Q(L) in configuration space. They then discuss how to go from configurations to phase space and demonstrate that the dependence of Q(L) on the gauge fixing disappears and that both charges become equal. The authors work through two gauges in detail: the conformal gauge and the de Donder (harmonic) gauge.
OSTI ID:
5217802
Journal Information:
International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 3:5; ISSN 0217-751X; ISSN IMPAE
Country of Publication:
United States
Language:
English