1998/12/06 by Ken-Ichi Aoki, Aoki, Ken-Ichi, Atsushi Horikoshi +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #hep-ph #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/9812050
Latex 9 pages, 12 eps figures, to be published in the Proceedings of the Workshop on the Exact Renormalization Group held in Faro, Portugal, in September 10-12 1998, World Scientific
arxiv created 1998/12/06 · arxiv updated 2009/11/30
The non-perturbative renormalization group (NPRG) is applied to analysis of tunnelling in quantum mechanics. The vacuum energy and the energy gap of anharmonic oscillators are evaluated by solving the local potential approximated Wegner-Houghton equation (LPA W-H eqn.). We find that our results are very good in a strong coupling region, but not in a very weak coupling region, where the dilute gas instanton calculation works very well. So it seems that in analysis of quantum tunnelling, the dilute gas instanton and LPA W-H eqn. play complementary roles to each other. We also analyze the supersymmetric quantum mechanics and see if the dynamical supersymmetry (SUSY) breaking is described by NPRG method.