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.
Field theory results for three-dimensional transitions with complex symmetries
CALABRESE, PASQUALE;ROSSI, PAOLO;VICARI, ETTORE
2003-01-01
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, and the multicritical behavior arising from the competition of two distinct types of ordering with symmetry O(n(1)) and O(n(2)) respectively.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
