We review the theoretical developments and conceptual advances that stemmed from the
generalization of QCD to the limit of a large number of color charges, originally proposed by't …

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 define a class of machine-learned flow-based sampling algorithms for lattice gauge
theories that are gauge invariant by construction. We demonstrate the application of this …

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 …

This book teaches modern Markov chain Monte Carlo (MC) simulation techniques step by
step. The material should be accessible to advanced undergraduate students and is suitable …

Numerical simulation of lattice-regulated QCD has become an important source of
information about strong interactions. In the last few years there has been an explosion of …

Heatbath methods give more rapid equilibration and shorter correlation times for the Markov
processes which generate lattice gauge configurations in Monte Carlo computations. We …

The equilibrium thermodynamic properties of the SU (N) plasma are studied
nonperturbatively in the large-N limit, via high-precision lattice simulations at temperatures …

We consider the S p (4) gauge theory coupled to N f= 2 fundamental and nf= 3 antisymmetric
flavors of Dirac fermions in four dimensions. This theory serves as the microscopic origin for …

The rise of exascale supercomputers has fueled competition among GPU vendors, driving
lattice QCD developers to write code that supports multiple APIs. Moreover, new …