BRST invariant approach to quantum mechanical tunneling

Details BRST invariant approach to quantum mechanical tunneling BRST invariant approach to quantum mechanical tunneling

1995-10-09

arxiv.org/abs/hep-th/9510046v1

Phys.Lett. B365 (1996) 163

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex

Scientific paper

10.1016/0370-2693(95)01268-0

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.

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