We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

We improve the theoretical estimates of the critical exponents for the three-dimensional
Heisenberg universality class. We find γ= 1.3960 (9), ν= 0.7112 (5), η= 0.0375 (5), α …

Universal scaling behavior is an attractive feature in statistical physics because a wide
range of models can be classified purely in terms of their collective behavior due to a …

We consider multicomponent Abelian Higgs (AH) gauge theories with multiparameter scalar
quartic potentials, which are extensions of the SU (N)-invariant AH theories, with a smaller …

Various perturbation series are factorially divergent. The behavior of their high-order terms
can be determined by Lipatov's method, which involves the use of instanton configurations …

Universal and nonuniversal critical exponents of a three-dimensional Ising system with weak
quenched disorder are discussed. Experimental, computational, and theoretical results are …

We consider the Landau–Ginzburg–Wilson Hamiltonian with O (n)× O (m) symmetry and
compute the critical exponents at all fixed points to O (n− 2) and to O (ϵ3) in a ϵ= 4− d …

We study by Monte Carlo simulations the influence of bond dilution on the three-dimensional
Ising model. This paradigmatic model in its pure version displays a second-order phase …

Monte Carlo simulations of the short-time dynamic behavior are reported for three-
dimensional weakly site-diluted Ising model with spin concentrations p= 0.95 and 0.8 at …