The topological susceptibility in finite temperature QCD and axion cosmology
Abstract
We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings corresponding to temporal extent of the lattice, Nτ=6,8,10 and 12. We observe very distinct temperature dependences of the topological susceptibility in the ranges above and below 250MeV. While for temperatures above 250MeV, the dependence is found to be consistent with dilute instanton gas approximation, at lower temperatures the fall-off of topological susceptibility is milder. We discuss the consequence of our results for cosmology wherein we estimate the bounds on the axion decay constant and the oscillation temperature if indeed the QCD axion is a possible dark matter candidate.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1328256
- Alternate Identifier(s):
- OSTI ID: 1376101
- Report Number(s):
- BNL-113932-2017-JA
Journal ID: ISSN 0370-2693; S0370269316305718; PII: S0370269316305718
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters. B
- Additional Journal Information:
- Journal Name: Physics Letters. B Journal Volume: 762 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Petreczky, Peter, Schadler, Hans-Peter, and Sharma, Sayantan. The topological susceptibility in finite temperature QCD and axion cosmology. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.09.063.
Petreczky, Peter, Schadler, Hans-Peter, & Sharma, Sayantan. The topological susceptibility in finite temperature QCD and axion cosmology. Netherlands. https://doi.org/10.1016/j.physletb.2016.09.063
Petreczky, Peter, Schadler, Hans-Peter, and Sharma, Sayantan. Tue .
"The topological susceptibility in finite temperature QCD and axion cosmology". Netherlands. https://doi.org/10.1016/j.physletb.2016.09.063.
@article{osti_1328256,
title = {The topological susceptibility in finite temperature QCD and axion cosmology},
author = {Petreczky, Peter and Schadler, Hans-Peter and Sharma, Sayantan},
abstractNote = {We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings corresponding to temporal extent of the lattice, Nτ=6,8,10 and 12. We observe very distinct temperature dependences of the topological susceptibility in the ranges above and below 250MeV. While for temperatures above 250MeV, the dependence is found to be consistent with dilute instanton gas approximation, at lower temperatures the fall-off of topological susceptibility is milder. We discuss the consequence of our results for cosmology wherein we estimate the bounds on the axion decay constant and the oscillation temperature if indeed the QCD axion is a possible dark matter candidate.},
doi = {10.1016/j.physletb.2016.09.063},
journal = {Physics Letters. B},
number = C,
volume = 762,
place = {Netherlands},
year = {Tue Nov 01 00:00:00 EDT 2016},
month = {Tue Nov 01 00:00:00 EDT 2016}
}
https://doi.org/10.1016/j.physletb.2016.09.063
Web of Science
Works referenced in this record:
Nonperturbative QCD simulations with flavors of improved staggered quarks
journal, May 2010
- Bazavov, A.; Toussaint, D.; Bernard, C.
- Reviews of Modern Physics, Vol. 82, Issue 2
The not-so-harmless axion
journal, January 1983
- Dine, Michael; Fischler, Willy
- Physics Letters B, Vol. 120, Issue 1-3
Confronting instanton perturbation theory with QCD lattice results
journal, July 1999
- Ringwald, A.; Schrempp, F.
- Physics Letters B, Vol. 459, Issue 1-3
The scales of euclidean and hamiltonian lattice QCD
journal, December 1981
- Hasenfratz, Anna; Hasenfratz, Péter
- Nuclear Physics B, Vol. 193, Issue 1
Renormalization of the Polyakov loop with gradient flow
journal, November 2015
- Petreczky, P.; Schadler, H. -P.
- Physical Review D, Vol. 92, Issue 9
Quark number susceptibilities at high temperatures
journal, November 2013
- Bazavov, A.; Ding, H. -T.; Hegde, P.
- Physical Review D, Vol. 88, Issue 9
Cosmology of the invisible axion
journal, January 1983
- Preskill, John; Wise, Mark B.; Wilczek, Frank
- Physics Letters B, Vol. 120, Issue 1-3
Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013
- Bazavov, A.; Bernard, C.; Komijani, J.
- Physical Review D, Vol. 87, Issue 5
The structure of the gauge theory vacuum
journal, August 1976
- Callan, C. G.; Dashen, R. F.; Gross, D. J.
- Physics Letters B, Vol. 63, Issue 3
Vacuum Periodicity in a Yang-Mills Quantum Theory
journal, July 1976
- Jackiw, R.; Rebbi, C.
- Physical Review Letters, Vol. 37, Issue 3
Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
journal, June 2013
- Cossu, Guido; Aoki, Sinya; Fukaya, Hidenori
- Physical Review D, Vol. 87, Issue 11
Polyakov loop at next-to-next-to-leading order
journal, February 2016
- Berwein, Matthias; Brambilla, Nora; Petreczky, Péter
- Physical Review D, Vol. 93, Issue 3
Axion cosmology, lattice QCD and the dilute instanton gas
journal, January 2016
- Borsanyi, Sz.; Dierigl, M.; Fodor, Z.
- Physics Letters B, Vol. 752
Topological susceptibility with the asqtad action
journal, June 2010
- Bazavov, A.; Toussaint, D.; Bernard, C.
- Physical Review D, Vol. 81, Issue 11
Instantons in QCD
journal, April 1998
- Schäfer, T.; Shuryak, E. V.
- Reviews of Modern Physics, Vol. 70, Issue 2
Periodic Euclidean solutions and the finite-temperature Yang-Mills gas
journal, April 1978
- Harrington, Barry J.; Shepard, Harvey K.
- Physical Review D, Vol. 17, Issue 8
How instantons solve the U(1) problem
journal, September 1986
- 't Hooft, G.
- Physics Reports, Vol. 142, Issue 6
QCD and instantons at finite temperature
journal, January 1981
- Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
- Reviews of Modern Physics, Vol. 53, Issue 1
High-precision quark masses and QCD coupling from lattice QCD
journal, March 2015
- Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B.
- Physical Review D, Vol. 91, Issue 5
Lattice QCD at non-zero temperature
journal, August 2012
- Petreczky, P.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 9
A method for simulating chiral fermions on the lattice
journal, August 1992
- Kaplan, David B.
- Physics Letters B, Vol. 288, Issue 3-4
RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000
- Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M.
- Computer Physics Communications, Vol. 133, Issue 1
QCD chiral transition, symmetry and the dirac spectrum using domain wall fermions
journal, March 2014
- Buchoff, Michael I.; Cheng, Michael; Christ, Norman H.
- Physical Review D, Vol. 89, Issue 5
Pseudoparticle solutions of the Yang-Mills equations
journal, October 1975
- Belavin, A. A.; Polyakov, A. M.; Schwartz, A. S.
- Physics Letters B, Vol. 59, Issue 1
Microscopic origin of symmetry violation in the high temperature phase of QCD
journal, May 2015
- Dick, Viktor; Karsch, Frithjof; Laermann, Edwin
- Physical Review D, Vol. 91, Issue 9
Chiral fermions on the lattice
journal, November 1993
- Narayanan, Rajamani; Neuberger, Herbert
- Physical Review Letters, Vol. 71, Issue 20
A cosmological bound on the invisible axion
journal, January 1983
- Abbott, L. F.; Sikivie, P.
- Physics Letters B, Vol. 120, Issue 1-3
A semiclassical formula for the topological susceptibility in a finite space-time volume
journal, June 1982
- Lüscher, M.
- Nuclear Physics B, Vol. 205, Issue 3
Periodic instantons with non-trivial holonomy
journal, November 1998
- Kraan, Thomas C.; van Baal, Pierre
- Nuclear Physics B, Vol. 533, Issue 1-3
Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015
- Ding, Heng-Tong; Karsch, Frithjof; Mukherjee, Swagato
- International Journal of Modern Physics E, Vol. 24, Issue 10
Diagonal and off-diagonal quark number susceptibilities at high temperatures
journal, October 2015
- Ding, H. -T.; Mukherjee, Swagato; Ohno, H.
- Physical Review D, Vol. 92, Issue 7
Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
journal, June 2013
- Bornyakov, V. G.; Ilgenfritz, E. -M.; Martemyanov, B. V.
- Physical Review D, Vol. 87, Issue 11
Constraints imposed by conservation in the presence of pseudoparticles
journal, September 1977
- Peccei, R. D.; Quinn, Helen R.
- Physical Review D, Vol. 16, Issue 6
Three-loop free energy for high-temperature QED and QCD with fermions
journal, February 1995
- Arnold, Peter; Zhai, Chengxing
- Physical Review D, Vol. 51, Issue 4
Nonperturbative Debye Mass in Finite Temperature QCD
journal, October 1997
- Kajantie, K.; Laine, M.; Peisa, J.
- Physical Review Letters, Vol. 79, Issue 17
Screening masses of hot SU(2) gauge theory from the 3d adjoint Higgs model
journal, December 1998
- Karsch, F.; Oevers, M.; Petreczky, P.
- Physics Letters B, Vol. 442, Issue 1-4
Gauge-invariant scalar and field strength correlators in three dimensions
journal, July 1998
- Laine, M.; Philipsen, O.
- Nuclear Physics B, Vol. 523, Issue 1-2
Conservation in the Presence of Pseudoparticles
journal, June 1977
- Peccei, R. D.; Quinn, Helen R.
- Physical Review Letters, Vol. 38, Issue 25
Higher-order quantum corrections in the presence of an instanton background field
journal, January 1985
- Morris, T. R.; Ross, D. A.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 255
Thermodynamics of gauge theory from gradient flow on the lattice
journal, July 2014
- Asakawa, Masayuki; Hatsuda, Tetsuo; Itou, Etsuko
- Physical Review D, Vol. 90, Issue 1
Topological Susceptibility in SU(3) Gauge Theory
journal, January 2005
- Del Debbio, Luigi; Giusti, Leonardo; Pica, Claudio
- Physical Review Letters, Vol. 94, Issue 3
Lattice QCD input for axion cosmology
journal, August 2015
- Berkowitz, Evan; Buchoff, Michael I.; Rinaldi, Enrico
- Physical Review D, Vol. 92, Issue 3
Glueball masses and string tension in lattice QCD
journal, June 1987
- Albanese, M.; Costantini, F.; Fiorentini, G.
- Physics Letters B, Vol. 192, Issue 1-2