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 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 …

We present results on the QCD phase diagram for μB⩽ πT. Our simulations are performed
with an imaginary chemical potential μ= iμI for which the fermion determinant is positive. On …

We show that high-temperature expansions provide a basis for the novel approach to
efficient Monte Carlo simulations.“Worm” algorithms utilize the idea of updating closed-path …

We study the spin-1/2 Ising model and the Blume-Capel model at various values of the
parameter D on the simple cubic lattice. To this end we perform Monte Carlo simulations …

We study the universality class and critical properties of the electroweak theory at finite
temperature. Such critical behaviour is found near the endpoint mH= mH, c of the line of first …

We formulate a cluster Monte Carlo method for the anisotropic limit of Ising models on (d+ 1)-
dimensional lattices, which in effect, are equivalent with d-dimensional quantum transverse …

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 …

The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical
point is investigated. We derive scaling relations describing its singular behavior in the …

We present the results of extensive Monte Carlo simulations of Ising models with
algebraically decaying ferromagnetic interactions in the regime where classical critical …