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arXiv · hep-th/9603041

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

Juan P. Garrahan·Martin Kruczenski·Daniel R. Bes
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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.

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Juan P. Garrahan, Martin Kruczenski, Daniel R. Bes. 1996-03-07. Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates. https://doi.org/10.1103/physrevd.53.7176

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