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 …

In this review we study quantum field theories and conformal field theories with global
symmetries in the limit of large charge for some of the generators of the symmetry group. At …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

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 …

A detailed description is provided of a new worm algorithm, enabling the accurate
computation of thermodynamic properties of quantum many-body systems in continuous …

Abstract Lars Onsager and Richard Feynman envisaged that the three-dimensional (3D)
superfluid-to-normal λ transition in 4He occurs through the proliferation of vortices. This …

In any medium there are fluctuations due to temperature or due to the quantum nature of its
constituents. If a material body is immersed into such a medium, its shape and the properties …

Discussing changes over the last two decades, this book represents an up-to-date treatment
of superfluidity. It covers new superfluid materials such as high-temperature and …

A bstract We explore some consequences of the crossing symmetry for defect conformal
field theories, focusing on codimension one defects like flat boundaries or interfaces. We …

We study a generalized clock model on the simple cubic lattice. The parameter of the model
can be tuned such that the amplitude of the leading correction to scaling vanishes. In the …