▪ Abstract Random matrix theory is a powerful way to describe universal correlations of
eigenvalues of complex systems. It also may serve as a schematic model for disorder in …

We show that very general considerations based on the properties of the partition function of
QCD allow one to extract information about the eigenvalues of the Dirac operator in vacuum …

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 …

This work presents gauge-equivariant architectures for flow-based sampling in fermionic
lattice field theories using pseudofermions as stochastic estimators for the fermionic …

It has been shown recently that Dirac operators satisfying the Ginsparg-Wilson relation
provide a solution of the chirality problem in QCD at finite lattice spacing. We discuss …

Recent results suggest that flow-based algorithms may provide efficient sampling of field
distributions for lattice field theory applications, such as studies of quantum chromodynamics …

At fine lattice spacings, Markov chain Monte Carlo simulations of QCD and other gauge
theories with or without fermions are plagued by slow modes that give rise to large …

Lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation is
perhaps the best known formulation of QCD with a finite cutoff. It reproduces all the low …

The overlap formalism of chiral fermions provides a tool to measure the index, Q, of the
chiral Dirac operator in a fixed gauge field background on the lattice. This enables a …

We investigate the interplay between topological charge and the spectrum of the fermion
matrix in lattice QED2 using analytic methods and Monte Carlo simulations with dynamical …