REVIEW 4 cited by
Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We calculate the eigenmodes of the Highly Improved Staggered Quark (HISQ) matrix near the chiral crossover transition in QCD with $2+1$ flavors with the aim to gain more insights into its temperature dependence. On performing the continuum extrapolation, we do not observe any gap opening up in the infrared part of the eigenvalue density of the QCD Dirac operator; instead we observe a peak. The existence of the peak and oscillations of the infrared eigenmodes can be understood in terms of an interacting ensemble of instantons. From the properties of the continuum extrapolated eigenspectrum we further show that the anomalous $U_A(1)$ part of the chiral symmetry is not effectively restored simultaneously along with its non-singlet counterpart. We provide an explanation for this observation, further showing interesting connections between the anomalous $U_A(1)$ restoration and the change in the infrared part of the eigenvalue distribution.
Forward citations
Cited by 4 Pith papers
-
Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
Lattice QCD calculations show intermediate statistics in Dirac eigenvalues near the chiral crossover that correlate with disorder via Polyakov loops, with Thouless conductance serving as a new probe for effective UA(1...
-
RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.
-
Dirac mode localization in QCD near the crossover temperature
Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.
-
Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
Using Möbius domain-wall fermions in two-flavor QCD, the authors find that vector/axial-vector and tensor/axial-tensor screening masses become degenerate above Tc, while the chiral-spin A-X splitting stays around 40 M...
Discussion (0). Continue with ORCID to comment.