Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-13
Int.J.Mod.Phys. B17 (2003) 5829-5838
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, Talk at the Conference TH2002, Paris, July 2002
Scientific paper
10.1142/S0217979203023355
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.
Calabrese Pasquale
Pelissetto Andrea
Rossi Paolo
Vicari Ettore
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