Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover temperature.
A construction of lattice chiral gauge theories
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non--interacting fermions. Our construction avoids the no--go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge field configurations of non--trivial topology.
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2026 4representative citing papers
Proposes jet correlation observables to discriminate QCD instanton processes from perturbative hard scattering in LHC pp collisions, with energy constraints derived from instanton size and separation calculations in 2+1 flavor QCD.
Lattice QCD finds evidence for effective U(1)_A symmetry restoration at 319(22) MeV, well above the chiral crossover.
Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.
citing papers explorer
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RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
Continuum extrapolation of lattice QCD data shows that SU(2)_L × SU(2)_R chiral and U(1)_A axial symmetry breaking strengths in nonsinglet quark-connected channels converge to the same value near the chiral crossover temperature.
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Probing QCD instantons using jet correlation observables in proton-proton collisions at the LHC
Proposes jet correlation observables to discriminate QCD instanton processes from perturbative hard scattering in LHC pp collisions, with energy constraints derived from instanton size and separation calculations in 2+1 flavor QCD.
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On the effective restoration of $U(1)_A$ symmetry at finite temperature
Lattice QCD finds evidence for effective U(1)_A symmetry restoration at 319(22) MeV, well above the chiral crossover.
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Domain wall fermions
Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.