Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.7176· OSTI ID:284824

Garrahan, J P; Kruczenski, M; Bes, D R ^[1]

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1. Departamento de Fisica, Comision Nacional de Energia Atomica, Av. Libertador 8250, 1429 Buenos Aires (Argentina)

The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of collective coordinates is considered in the Lagrangian formalism. The motion of a particle in a Riemannian manifold is studied in the case when the classical solutions break a non-Abelian global invariance of the action. Collective coordinates are introduced, and the resulting gauge theory is quantized in the BRST antifield formalism. The partition function is computed perturbatively to two loops, and it is shown that the results are independent of gauge-fixing parameters. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 284824
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 53; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
PARTITION FUNCTIONS
PERTURBATION THEORY
QUANTIZATION
RIEMANN SPACE