Eigenvalue spectra of QCD and the fate of UA(1) breaking towards the chiral limit - INSPIRE

DataBETA

Eigenvalue spectra of QCD and the fate of UA(1) breaking towards the chiral limit

Feb 11, 2021

10 pages

Published in:

Phys.Rev.D 104 (2021) 9, 094518

Published: Nov 1, 2021

e-Print:

2102.06136 [hep-lat]

DOI:

10.1103/PhysRevD.104.094518 (publication)

View in:

ADS Abstract Service

reference search42 citations

Citations per year

Abstract: (APS)

The finite temperature phase diagram of QCD with two massless quark flavors is not yet understood because of the subtle effects of anomalous

U_{A} (1)

symmetry. In this work we address this issue by studying the fate of the anomalous

U_{A} (1)

symmetry in

2 + 1

flavor QCD just above the chiral crossover transition temperature

T_{c}

, lowering the light quark mass toward the chiral limit along the line of constant physical strange quark mass. We use the gauge configurations generated using the highly improved staggered quark discretization on lattice volumes

32^{3} \times 8

and

56^{3} \times 8

to study the renormalized eigenvalue spectrum of QCD with a valence overlap Dirac operator. We implement new numerical techniques that allow us to measure about 100–200 eigenvalues of the gauge ensembles with light quark masses

≳ 0.6 MeV

. From a detailed analysis of the dependence of the renormalized eigenvalue spectrum and

U_{A} (1)

breaking observables on the light quark mass, our study suggests

U_{A} (1)

is broken at

T ≳ T_{c}

even when the chiral limit is approached.

quark: mass
quark: flavor
quark: staggered
quark: massless
quantum chromodynamics: critical phenomena
critical phenomena: finite temperature
temperature: transition
operator: Dirac
chiral
U(1)

References(73)

Figures(15)

[1]

Axial vector vertex in spinor electrodynamics

Stephen L. Adler
(
- Princeton U.
)

- Phys.Rev. 177 (1969) 2426-2438,
•
DOI:
- 10.1103/PhysRev.177.2426

[1]

A PCAC puzzle: $\pi^0 \to \gamma \gamma$ in the $\sigma$ model

J.S. Bell
(
- CERN
)
,
R. Jackiw
(
- CERN
)

- Nuovo Cim.A 60 (1969) 47-61
•
DOI:
- 10.1007/BF02823296

[2]

Path Integral Measure for Gauge Invariant Fermion Theories

Kazuo Fujikawa
(
- INS, Tokyo
)

- Phys.Rev.Lett. 42 (1979) 1195-1198
•
DOI:
- 10.1103/PhysRevLett.42.1195

[3]

Remarks on the Chiral Phase Transition in Chromodynamics

- Phys.Rev.D 29 (1984) 338-341
•
DOI:
- 10.1103/PhysRevD.29.338

[4]

On the nature of the finite temperature transition in QCD

Agostino Butti
(
- Pisa, Scuola Normale Superiore
)
,
Andrea Pelissetto
(
- Rome U. and
- INFN, Rome
)
,
Ettore Vicari
(
- Pisa U. and
- INFN, Pisa
)

- JHEP 08 (2003) 029
•
e-Print:
- hep-ph/0307036
•
DOI:
- 10.1088/1126-6708/2003/08/029

[5]

Relevance of the axial anomaly at the finite-temperature chiral transition in QCD

Andrea Pelissetto
(
- U. Rome La Sapienza (main) and
- INFN, Rome
)
,
Ettore Vicari
(
- INFN, Pisa and
- Pisa U.
)

- Phys.Rev.D 88 (2013) 10, 105018
•
e-Print:
- 1309.5446
•
DOI:
- 10.1103/PhysRevD.88.105018

[6]

Bootstrapping phase transitions in QCD and frustrated spin systems

Yu Nakayama
(
- Tokyo U., IPMU
)
,
Tomoki Ohtsuki
(
- Tokyo U., IPMU
)

- Phys.Rev.D 91 (2015) 2, 021901
•
e-Print:
- 1407.6195
•
DOI:
- 10.1103/PhysRevD.91.021901

[7]

Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly

Mara Grahl
(
- Frankfurt U.
)
,
Dirk H. Rischke
(
- Frankfurt U. and
- Frankfurt U., FIAS
)

- Phys.Rev.D 88 (2013) 5, 056014
•
e-Print:
- 1307.2184
•
DOI:
- 10.1103/PhysRevD.88.056014

[8]

Anomalous chiral symmetry breaking above the QCD phase transition

Shailesh Chandrasekharan
(
- Columbia U.
)
,
Dong Chen
(
- Columbia U.
)
,
Norman H. Christ
(
- Columbia U.
)
,
Weon-Jong Lee
(
- Columbia U.
)
,
Robert Mawhinney
(
- Columbia U.
)

et al.

- Phys.Rev.Lett. 82 (1999) 2463-2466
•
e-Print:
- hep-lat/9807018
•
DOI:
- 10.1103/PhysRevLett.82.2463

[9]

The chiral transition and $U(1)_A$ symmetry restoration from lattice QCD using Domain Wall Fermions

HotQCD

Collaboration

•

A. Bazavov
(
- Brookhaven
)

et al.

- Phys.Rev.D 86 (2012) 094503
•
e-Print:
- 1205.3535
•
DOI:
- 10.1103/PhysRevD.86.094503

[10]

QCD chiral transition, U(1)A symmetry and the dirac spectrum using domain wall fermions

Michael I. Buchoff
(
- LLNL, Livermore and
- Washington U., Seattle
)
,
Michael Cheng
(
- Boston U.
)
,
Norman H. Christ
(
- Columbia U.
)
,
H. -T. Ding
(
- Brookhaven and
- Columbia U.
)
,
Chulwoo Jung
(
- Brookhaven
)

et al.

- Phys.Rev.D 89 (2014) 5, 054514
•
e-Print:
- 1309.4149
•
DOI:
- 10.1103/PhysRevD.89.054514

[11]

Eigenvalue distribution of the Dirac operator at finite temperature with (2+1)-flavor dynamical quarks using the HISQ action

H. Ohno
(
- Tsukuba U., GSPAS
)
,
U.M. Heller
(
- APS, New York
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
S. Mukherjee
(
- Brookhaven
)

- PoS LATTICE2011 (2011) 210
•
e-Print:
- 1111.1939
•
DOI:
- 10.22323/1.139.0210

[12]

U $_A$ (1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action

H. Ohno
(
- Bielefeld U.
)
,
U.M. Heller
(
- APS, New York
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
S. Mukherjee
(
- Brookhaven
)

- PoS LATTICE2012 (2012) 095
•
e-Print:
- 1211.2591
•
DOI:
- 10.22323/1.164.0095

[13]

Meson screening masses in (2+1)-flavor QCD

Alexei Bazavov
(
- Michigan State U.
)
,
Simon Dentinger
(
- Bielefeld U.
)
,
Heng-Tong Ding
(
- Hua-Zhong Normal U.
)
,
Prasad Hegde
(
- Bangalore, Indian Inst. Sci.
)
,
Olaf Kaczmarek
(
- Bielefeld U. and
- Hua-Zhong Normal U.
)

et al.

- Phys.Rev.D 100 (2019) 9, 094510
•
e-Print:
- 1908.09552
•
DOI:
- 10.1103/PhysRevD.100.094510

[14]

Chiral observables and topology in hot QCD with two families of quarks

Florian Burger
(
- Humboldt U., Berlin
)
,
Ernst-Michael Ilgenfritz
(
- Dubna, JINR
)
,
Maria Paola Lombardo
(
- Frascati
)
,
Anton Trunin
(
- Samara U.
)

- Phys.Rev.D 98 (2018) 9, 094501
•
e-Print:
- 1805.06001
•
DOI:
- 10.1103/PhysRevD.98.094501

[15]

The Anderson transition in QCD with $N_f=2+1+1$ twisted mass quarks: overlap analysis

Lukas Holicki
(
- Giessen U.
)
,
Ernst-Michael Ilgenfritz
(
- Dubna, JINR
)
,
Lorenz von Smekal
(
- Giessen U.
)

- PoS LATTICE2018 (2018) 180
•
e-Print:
- 1810.01130
•
DOI:
- 10.22323/1.334.0180

[16]

Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation

Guido Cossu
(
- KEK, Tsukuba
)
,
Sinya Aoki
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tsukuba U., CCS
)
,
Hidenori Fukaya
(
- Osaka U.
)
,
Shoji Hashimoto
(
- KEK, Tsukuba and
- Sokendai, Kanagawa
)
,
Takashi Kaneko
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

et al.

- Phys.Rev.D 87 (2013) 11, 114514,
- Phys.Rev.D 88 (2013) 1, 019901 (erratum)
•
e-Print:
- 1304.6145
•
DOI:
- 10.1103/PhysRevD.87.114514

[16]

Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation

Guido Cossu
(
- KEK, Tsukuba
)
,
Sinya Aoki
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tsukuba U., CCS
)
,
Hidenori Fukaya
(
- Osaka U.
)
,
Shoji Hashimoto
(
- KEK, Tsukuba and
- Sokendai, Kanagawa
)
,
Takashi Kaneko
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

et al.

- Phys.Rev.D 87 (2013) 11, 114514,
- Phys.Rev.D 88 (2013) 1, 019901 (erratum)
•
e-Print:
- 1304.6145
•
DOI:
- 10.1103/PhysRevD.87.114514

[17]

Effects of near-zero Dirac eigenmodes on axial U(1) symmetry at finite temperature

Akio Tomiya
(
- Osaka U.
)
,
Guido Cossu
(
- KEK, Tsukuba
)
,
Hidenori Fukaya
(
- Osaka U.
)
,
Shoji Hashimoto
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Junichi Noaki
(
- KEK, Tsukuba
)

- PoS LATTICE2014 (2015) 211
•
e-Print:
- 1412.7306
•
DOI:
- 10.22323/1.214.0211

[18]

Evidence of effective axial U(1) symmetry restoration at high temperature QCD

A. Tomiya
(
- Hua-Zhong Normal U., LQLP and
- CCNU, Wuhan, Inst. Part. Phys.
)
,
G. Cossu
(
- Edinburgh U.
)
,
S. Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
H. Fukaya
(
- Osaka U.
)
,
S. Hashimoto
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

et al.

- Phys.Rev.D 96 (2017) 3, 034509,
- Phys.Rev.D 96 (2017) 7, 079902 (addendum)
•
e-Print:
- 1612.01908
•
DOI:
- 10.1103/PhysRevD.96.034509

[19]

Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD

JLQCD

Collaboration

•

Kei Suzuki
(
- KEK, Tsukuba
)

et al.

- PoS LATTICE2018 (2018) 152
•
e-Print:
- 1812.06621
•
DOI:
- 10.22323/1.334.0152

[20]

Axial U(1) symmetry and mesonic correlators at high temperature in $N_f=2$ lattice QCD

JLQCD

Collaboration

•

Kei Suzuki
(
- JAEA, Tokai
)

et al.

- PoS LATTICE2019 (2020) 178
•
e-Print:
- 2001.07962
•
DOI:
- 10.22323/1.363.0178

[21]

Chiral symmetry and axial U(1) symmetry in finite temperature QCD with domain-wall fermion

TWQCD

Collaboration

•

Ting-Wai Chiu
(
- Taiwan, Natl. Taiwan U.
)

et al.

- PoS LATTICE2013 (2014) 165
•
e-Print:
- 1311.6220
•
DOI:
- 10.22323/1.187.0165

[22]

On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD

Bastian B. Brandt
(
- Frankfurt U. and
- Regensburg U.
)
,
Anthony Francis
(
- York U., Canada
)
,
Harvey B. Meyer
(
)
,
Owe Philipsen
(
- Frankfurt U.
)
,
Daniel Robaina
(
)

et al.

- JHEP 12 (2016) 158
•
e-Print:
- 1608.06882
•
DOI:
- 10.1007/JHEP12(2016)158

[23]

Microscopic origin of $U_A(1)$ symmetry violation in the high temperature phase of QCD

Viktor Dick
(
- Bielefeld U.
)
,
Frithjof Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
Edwin Laermann
(
- Bielefeld U.
)
,
Swagato Mukherjee
(
- Brookhaven
)
,
Sayantan Sharma
(
- Brookhaven
)

- Phys.Rev.D 91 (2015) 9, 094504
•
e-Print:
- 1502.06190
•
DOI:
- 10.1103/PhysRevD.91.094504

1-25 of 73
1
2
3
25 / page