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Critical phenomena and renormalization-group theory
Abstract 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 limit thatExpand
theta dependence of SU(N) gauge theories in the presence of a topological term
Abstract We review results concerning the θ dependence of 4D S U ( N ) gauge theories and QCD, where θ is the coefficient of the CP-violating topological term in the Lagrangian. In particular, weExpand
Critical behavior of the three-dimensional XY universality class
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4),Expand
25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice.
25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In particular, we consider threeExpand
Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
We investigate the effects of anisotropic perturbations in three-dimensional O(N)-symmetric vector models. In order to assess their relevance for the critical behavior, we determine theExpand
Irrelevant operators in the two-dimensional Ising model
By using conformal-field theory, we classify the possible irrelevant operators for the Ising model with nearest-neighbour interactions on the square and triangular lattices. We analyse the existingExpand
Large-n critical behavior of O(n)×O(m) spin models
We consider the Landau-Ginzburg-Wilson Hamiltonian with O(n)x O(m) symmetry and compute the critical exponents at all fixed points to O(n^{-2}) and to O(\epsilon^3) in a \epsilon=4-d expansion. WeExpand
The critical exponents of the superfluid transition in He4
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class that apply to the superfluid transition in {sup 4}He along the {lambda} line of itsExpand
Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
We investigate the nature of the finite-temperature chiral transition in QCD with two light flavors, in the case of an effective suppression of the the U(1)_A symmetry breaking induced by the axialExpand
Critical behavior of O(2)⊗O(N) symmetric models
We investigate the controversial issue of the existence of universality classes describing critical phenomena in three-dimensional statistical systems characterized by a matrix order parameter withExpand
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