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 …

We review results concerning the θ dependence of 4D SU (N) gauge theories and QCD,
where θ is the coefficient of the CP-violating topological term in the Lagrangian. In particular …

General-purpose Markov chain Monte Carlo sampling algorithms suffer from a dramatic
reduction in efficiency as the system being studied is driven toward a critical point through …

We compute the topological susceptibility slope χ′, related to the second moment of the two-
point correlator of the topological charge density, of 2 d CP N-1 models for N= 5, 11, 21 and …

The topological susceptibility of 2D CP N-1 models is expected, based on perturbative
computations, to develop a divergence in the limit N→ 2, where these models reduce to the …

We investigate the critical slowing down of the topological modes using local updating
algorithms in lattice 2d CPN− 1 models. We show that the topological modes experience a …

The recent introduction of machine learning techniques, especially normalizing flows, for the
sampling of lattice gauge theories has shed some hope on improving the sampling …

We study the large-N scaling behavior of the θ dependence of the ground-state energy
density E (θ) of four-dimensional (4D) SU (N) gauge theories and two-dimensional (2D) …

A bstract We determine the pure-gauge SU (3) topological susceptibility slope χ′, related to
the next-to-leading-order term of the momentum expansion of the topological charge density …

We discuss the conditions under which Higgs and confining regimes in gauge theories with
fundamental representation matter fields can be sharply distinguished. It is widely believed …