BRST invariant approach to quantum mechanical tunneling
High Energy Physics - Theory
2009-10-28 v1
Abstract
A new approach with BRST invariance is suggested to cure the degeneracy problem of ill defined path integrals in the path-integral calculationof quantum mechanical tunneling effects in which the problem arises due to the occurrence of zero modes. The Faddeev-Popov procedure is avoided and the integral over the zero mode is transformed in a systematic way into a well defined integral over instanton positions. No special procedure has to be adopted as in the Faddeev-Popov method in calculating the Jacobian of the transformation. The quantum mechanical tunneling for the Sine-Gordon potential is used as a test of the method and the width of the lowest energy band is obtained in exact agreement with that of WKB calculations.
Keywords
Cite
@article{arxiv.hep-th/9510046,
title = {BRST invariant approach to quantum mechanical tunneling},
author = {Jian-Ge Zhou and F. Zimmerschied and J. -Q. Liang and H. J. W. Mueller-Kirsten},
journal= {arXiv preprint arXiv:hep-th/9510046},
year = {2009}
}
Comments
9 pages, LaTex