We review results for the phase diagram of QCD, the properties of quarks and gluons and
the resulting properties of strongly interacting matter at finite temperature and chemical …

We highlight the progress, current status, and open challenges of QCD-driven physics, in
theory and in experiment. We discuss how the strong interaction is intimately connected to a …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

It is sometimes speculated that the sign problem that afflicts many quantum field theories
might be reduced or even eliminated by choosing an alternative domain of integration within …

Recent observations from several pulsar timing array (PTA) collaborations have unveiled
compelling evidence for a stochastic signal in the nanohertz band. This signal aligns …

These lecture notes contain an elementary introduction to lattice QCD at nonzero chemical
potential. Topics discussed include chemical potential in the continuum and on the lattice; …

Lattice simulations of the QCD correlation functions in the Landau gauge have established
two remarkable facts. First, the coupling constant in the gauge sector—defined, eg, in the …

We review the theory and applications of complex stochastic quantization to the quantum
many-body problem. Along the way, we present a brief overview of a number of ideas that …

The complex Langevin method is extended to full QCD at non-zero chemical potential. The
use of gauge cooling stabilizes the simulations at small enough lattice spacings. At large …

We employ a new method,“gauge cooling”, to stabilize complex Langevin simulations of
QCD with heavy quarks. The results are checked against results obtained with reweighting; …