Non-Perturbative Renormalization Group and Quantum Tunnelling

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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.
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

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High Energy Physics - Theory, High Energy Physics - Phenomenology, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/55834

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9812050
 http://arxiv.org/abs/hep-th/9812050

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arXiv