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

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

1996-03-07

arxiv.org/abs/hep-th/9603041v1

Phys.Rev. D53 (1996) 7176-7186

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 26 pages, PostScript figures at end of file

Scientific paper

10.1103/PhysRevD.53.7176

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.

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