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 …

We review the current status of the long-term programme of numerical investigation of S p (2
N) gauge theories with and without fermionic matter content. We start by introducing the …

Quantum field theory describes basic physical phenomena over an extremely wide range of
length or energy scales. Quantum fields exist in space and time, which can be approximated …

We compute the sphaleron rate of N f= 2+ 1 QCD at the physical point for a range of
temperatures 200 MeV≲ T≲ 600 MeV. We adopt a strategy recently applied in the quenched …

There has been much recent progress in the understanding and reduction of the
computational cost of the hybrid Monte Carlo algorithm for lattice QCD as the quark mass …

This book lays the foundations of the theory of fluctuating multivalued fields with numerous
applications. Most prominent among these are phenomena dominated by the statistical …

The gradient (Wilson) flow has been introduced recently in order to provide a solid
theoretical framework for the smoothing of ultraviolet noise in lattice gauge configurations. It …

Cooling is used as a filter on a set of gluon fields sampling the Wilson action to selectively
remove essentially all fluctuations of the gluon field except for the instantons. The close …

A bstract We simulate N f= 2+ 1 QCD at the physical point combining open and periodic
boundary conditions in a parallel tempering framework, following the original proposal by M …

A bstract We simulate 4d SU (N) pure-gauge theories at large N using a parallel tempering
scheme that combines simulations with open and periodic boundary conditions …