QCD axions are at the crossroads of QCD topology and Dark Matter searches. We present
here the current status of topological studies on the lattice, and their implication on axion …

We introduce novel relations between the derivatives [∂ n ρ (λ, ml)/∂ mln] of the Dirac
eigenvalue spectrum [ρ (λ, ml)] with respect to the light sea quark mass (ml) and the (n+ 1) …

We study the axial U (1) symmetry at a finite temperature in two-flavor lattice QCD.
Employing the Möbius domain-wall fermions, we generate gauge configurations slightly …

We investigate the general structure of the chiral anomaly AVV/AAA and (LLL, RRR)
vertices, in the presence of chemical potentials in perturbation theory. The study finds …

We study the scaling properties of the finite temperature QCD phase transition, for light
quark masses ranging from the heavy quark regime to their physical values. The lattice …

We propose a new way of understanding how chiral symmetry is realized in the high
temperature phase of QCD. Based on the finding that a simple free instanton gas precisely …

A bstract QCD topological susceptibility at high temperature, χ t (T), provides an important
input for the estimate of the axion abundance in the present Universe. While the model …

We use the conformal bootstrap program to derive necessary conditions for emergent
symmetry enhancement from discrete symmetry (eg $\mathbb {Z} _n $) to continuous …

We investigate the gravitational anomaly vertex⟨ TTJ 5⟩(graviton—graviton—axial current)
under conditions of finite density and temperature. Through a direct analysis of perturbative …

I derive constraints on the Dirac spectrum in the chirally symmetric phase of a gauge theory
with two massless fermion flavors. Using only general properties of correlation functions of …