This paper reviews various approaches used nowadays in order to understand the structure
of the ground state of the strong interaction theory, the so-called QCD vacuum. In particular …

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 …

A bstract We calculate the low-lying glueball spectrum of the SU (3) lattice gauge theory in
3+ 1 dimensions for the range β≤ 6. 50 using the standard plaquette action. We do so for …

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 …

A bstract We calculate the low-lying glueball spectrum, several string tensions and some
properties of topology and the running coupling for SU (N) lattice gauge theories in 3+ 1 …

A bstract We investigate the topological properties of N f= 2+ 1 QCD with physical quark
masses, both at zero and finite temperature. We adopt stout improved staggered fermions …

This book provides a concise introduction to quantum fields on a lattice: a precise and non-
perturbative definition of quantum field theory obtained by replacing continuous space-time …

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 …

After addressing the question of instanton stability on a space-time lattice, we investigate
whether the full non-perturbative SU (2) gauge vacuum possesses an underlying (anti-) …

A bstract We compute the topological susceptibility of N f= 2+ 1 QCD with physical quark
masses in the high-temperature phase, using numerical simulations of the theory discretized …