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, and the multicritical behavior arising from the competition of two distinct types of ordering with symmetry O(n(1)) and O(n(2)) respectively.
|Titolo:||Field theory results for three-dimensional transitions with complex symmetries|
|Autori:||Calabrese P; Pelissetto A; Rossi P; Vicari E|
|Data di pubblicazione:||2003|
|Digital Object Identifier (DOI):||10.1142/S0217979203023355|
|Appare nelle tipologie:||1.1 Journal article|