The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

Recent theoretical and experimental studies on the critical properties of frustrated
antiferromagnets with non-collinear spin order, including stacked-triangular …

This article is devoted to the study of the critical properties of classical XY and Heisenberg
frustrated magnets in three dimensions. We first analyze the experimental and numerical …

A bstract Fixed points for scalar theories in 4− ε, 6− ε and 3− ε dimensions are discussed. It is
shown how a large range of known fixed points for the four dimensional case can be …

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a
controversial subject at present. The field theoretical renormalization group (RG) in three …

We investigate the controversial issue of the existence of universality classes describing
critical phenomena in three-dimensional systems characterized by a matrix order parameter …

We study the critical behavior of frustrated spin models with noncollinear order, including
stacked triangular antiferromagnets and helimagnets. For this purpose we compute the field …

We investigate theoretically the superfluid phase transition of helium-3 under nanoscale
confinement of one spatial dimension realized in recent experiments. Instead of the 3× 3 …