%0 Journal Article %1 Horikoshi:1998sw %A Horikoshi, Atsushi %A Aoki, Ken-Ichi %A aki Taniguchi, Masa %A Terao, Haruhiko %D 1998 %K FRG NonconvexPotential QM RGFlow %T Non-perturbative renormalization group and quantum tunnelling %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/9812050 %X Abstract: 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.

@article{Horikoshi:1998sw, abstract = { Abstract: 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. }, added-at = {2009-04-24T14:26:22.000+0200}, archiveprefix = {arXiv}, author = {Horikoshi, Atsushi and Aoki, Ken-Ichi and aki Taniguchi, Masa and Terao, Haruhiko}, biburl = {https://www.bibsonomy.org/bibtex/2ce687874e21c42bec201854889cfb4f4/gber}, description = {SPIRES-HEP: FIND EPRINT HEP-TH/9812050}, eprint = {hep-th/9812050}, interhash = {415bd266ebe7185c3e3d89102157434e}, intrahash = {ce687874e21c42bec201854889cfb4f4}, keywords = {FRG NonconvexPotential QM RGFlow}, slaccitation = {%%CITATION = HEP-TH/9812050;%%}, timestamp = {2009-04-24T14:26:22.000+0200}, title = {{Non-perturbative renormalization group and quantum tunnelling}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-th/9812050}, year = 1998 }