Renormalization group for renormalization-group equations toward the universality classification of infinite-order phase transitions

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dc.creatorItoi, Chigak
dc.creatorMukaida, Hisamitsu
dc.date1997-11-28
dc.date1999-07-01
dc.date.accessioned2026-07-07T03:09:31Z
dc.date.available2026-07-07T03:09:31Z
dc.descriptionWe derive a new renormalization group to calculate a non-trivial critical exponent of the divergent correlation length which gives a universality classification of essential singularities in infinite-order phase transitions. This method resolves the problem of a vanishing scaling matrix. The exponent is obtained from the maximal eigenvalue of a scaling matrix in this renormalization group, as in the case of ordinary second-order phase transitions. We exhibit several nontrivial universality classes in infinite-order transitions different from the well-known Berezinski\uı-Kosterlitz-Thouless transition.
dc.description19 pages, 10 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9711308
dc.identifierhttp://arxiv.org/abs/cond-mat/9711308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27921
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization group for renormalization-group equations toward the universality classification of infinite-order phase transitions
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