Finite-density lattice QCD aims for the first-principle study of QCD at finite density, which
describes the system consisting of many quarks. The main targets are systems such as …

We review results from lattice QCD calculations on the thermodynamics of strong-interaction
matter with emphasis on input these calculations can provide to the exploration of the phase …

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 …

The Monte Carlo evaluation of path integrals is one of a few general purpose methods to
approach strongly coupled systems. It is used in all branches of physics, from QCD and …

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; …

A bstract In this work, we establish a direct connection between generative diffusion models
(DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of …

A bstract We consider a hybrid Monte Carlo algorithm which is applicable to lattice theories
defined on Lefschetz thimbles. In the algorithm, any point (field configuration) on a thimble is …

Strongly interacting matter undergoes a crossover phase transition at high temperatures T∼
10 12 K and zero net-baryon density. A fundamental question in the theory of strong …

The complex Langevin method is a promising approach to the complex-action problem
based on a fictitious time evolution of complexified dynamical variables under the influence …

The equation of state of QCD at finite temperatures and baryon densities has a wide range
of applications in many fields of modern particle and nuclear physics. It is the main …