English

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

High Energy Physics - Theory 2009-10-30 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9603041,
  title  = {Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates},
  author = {Juan P. Garrahan and Martin Kruczenski and Daniel R. Bes},
  journal= {arXiv preprint arXiv:hep-th/9603041},
  year   = {2009}
}

Comments

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