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 …

We study the joint probability density of the eigenvalues of a product of rectangular real,
complex, or quaternion random matrices in a unified way. The random matrices are …

A bstract We present state-of-the-art extractions of the strong coupling based on N 3 LO+
NNLL accurate predictions for the two-jet rate in the Durham clustering algorithm at e+ e …

A bstract We study the singular values of the Dirac operator in dense QCD-like theories at
zero temperature. The Dirac singular values are real and nonnegative at any nonzero quark …

We discuss the product of independent induced quaternion (β= 4) Ginibre matrices, and the
eigenvalue correlations of this product matrix. The joint probability density function for the …

We show that the spectrum of the Dirac operator in complex Langevin simulations of QCD at
nonzero chemical potential must behave in a way which is radically different from the one in …

We study the phase diagram of two-flavor massless two-color QCD (QC 2 D) under the
presence of quark chemical potentials and imaginary isospin chemical potentials. At the …

We derive exact analytical expressions for the spectral density of the Dirac operator at fixed
θ-angle in the microscopic domain of one-flavor QCD. These results are obtained by …

We derive a new Banks-Casher-type relation which relates the density of complex Dirac
eigenvalues at the origin to the BCS gap of quarks at high density and zero temperature. Our …

We propose a novel random matrix model that describes the QCD Kondo effect. The model
correctly implements both the chiral symmetry of light quarks and the $\mathrm {SU}(2) …