# Field-theory results for three-dimensional transitions with complex symmetries

Calabrese, Pasquale and Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (2003) Field-theory results for three-dimensional transitions with complex symmetries. International Journal of Modern Physics B, B17 . p. 5829. ISSN 0217-9792

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## Abstract

We discuss several examples of three-dimensional critical phenomena that can be described by Landau-Ginzburg-Wilson $\phi^4$ theories. We present an overview of field-theoretical results obtained from the analysis of high-order perturbative series in the frameworks of the $\epsilon$ and of the fixed-dimension d=3 expansions. In particular, we discuss the stability of the O(N)-symmetric fixed point in a generic N-component theory, the critical behaviors of randomly dilute Ising-like systems and frustrated spin systems with noncollinear order, the multicritical behavior arising from the competition of two distinct types of ordering with symmetry O($n_1$) and O($n_2$) respectively.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" dott.ssa Sandra Faita 08 Apr 2015 17:57 08 Apr 2015 17:57 http://eprints.adm.unipi.it/id/eprint/1841

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