Correlated Dirac eigenvalues and axial anomaly in chiral symmetric QCD

HT Ding, ST Li, S Mukherjee, A Tomiya, XD Wang… - Physical Review Letters, 2021 - APS
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) …

Lattice QCD input for axion cosmology

E Berkowitz, MI Buchoff, E Rinaldi - Physical Review D, 2015 - APS
One intriguing beyond-the-Standard-Model particle is the QCD axion, which could
simultaneously provide a solution to the Strong CP Problem and account for some, if not all …

Evidence of effective axial symmetry restoration at high temperature QCD

A Tomiya, G Cossu, S Aoki, H Fukaya, S Hashimoto… - Physical Review D, 2017 - APS
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 …

Chiral symmetry breaking on the lattice

M Faber, R Höllwieser - Progress in Particle and Nuclear Physics, 2017 - Elsevier
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Fate of Chiral Symmetries in the Quark-Gluon Plasma from an Instanton-Based Random Matrix Model of QCD

TG Kovács - Physical Review Letters, 2024 - APS
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 …

Eigenvalue spectra of QCD and the fate of breaking towards the chiral limit

O Kaczmarek, L Mazur, S Sharma - Physical Review D, 2021 - APS
The finite temperature phase diagram of QCD with two massless quark flavors is not yet
understood because of the subtle effects of anomalous UA (1) symmetry. In this work we …

Study of the axial anomaly at high temperature with lattice chiral fermions

S Aoki, Y Aoki, G Cossu, H Fukaya, S Hashimoto… - Physical Review D, 2021 - APS
We investigate the axial U (1) anomaly of two-flavor QCD at temperatures 190–330 MeV. In
order to preserve precise chiral symmetry on the lattice, we employ the Möbius domain-wall …

Constraints on the Dirac spectrum from chiral symmetry restoration

M Giordano - Physical Review D, 2024 - APS
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 …

Step scaling with gradient flow and finite temperature

PM Junnarkar, GD Moore, A Chaumet - Physical Review D, 2023 - APS
We combine gradient flow, step-scaling, and finite-temperature boundary conditions to scale-
set 2+ 1+ 1 flavor QCD lattices with physical HISQ quarks at multiple spacings down to a …

Spectral density of the Dirac-Ginsparg-Wilson operator, chiral anomaly, and analyticity in the high temperature phase of QCD

V Azcoiti - Physical Review D, 2023 - APS
Using general properties of the Q= 0 topological sector, we previously argued that a
vectorlike theory, with chiral U (1) A anomaly, and exact non-Abelian chiral symmetry …