The [Formula omitted] Expansion and Universality in Three Dimensions
It has been observed that the classification into universality classes of critical behavior, as established by perturbative renormalization group in the vicinity of four or six dimensions of space by the epsilon expansion, remains valid down to three dimensions in all known cases, even when perturba...
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| Published in | Journal of statistical physics Vol. 172; no. 2; p. 673 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Springer
01.07.2018
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| Online Access | Get full text |
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| Summary: | It has been observed that the classification into universality classes of critical behavior, as established by perturbative renormalization group in the vicinity of four or six dimensions of space by the epsilon expansion, remains valid down to three dimensions in all known cases, even when perturbative renormalization group fails in lower dimensions. In this paper we argue that this classification into universality classes remains true in lower dimensions of space, even when perturbative renormalization group fails, because of the well known phenomenon of eigenvalue repulsion. |
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| ISSN: | 0022-4715 1572-9613 |
| DOI: | 10.1007/s10955-018-2002-4 |