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

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We 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.
19 pages, 10 eps figures

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Statistical Mechanics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/27921

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9711308
 http://arxiv.org/abs/cond-mat/9711308

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arXiv