The topological susceptibility in finite temperature QCD and axion cosmology

被引:128
作者
Petreczky, Peter [1 ]
Schadler, Hans-Peter [1 ]
Sharma, Sayantan [1 ]
机构
[1] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA
关键词
CHIRAL FERMIONS; CP CONSERVATION; GAUGE-THEORY; INSTANTONS; MASSES;
D O I
10.1016/j.physletb.2016.09.063
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the topological susceptibility in 2 + 1flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings corresponding to temporal extent of the lattice, N-tau= 6, 8, 10and 12. We observe very distinct temperature dependences of the topological susceptibility in the ranges above and below 250 MeV. While for temperatures above 250 MeV, 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. (C) 2016 The Authors. Published by Elsevier B.V.
引用
收藏
页码:498 / 505
页数:8
相关论文
共 65 条
[1]   A COSMOLOGICAL BOUND ON THE INVISIBLE AXION [J].
ABBOTT, LF ;
SIKIVIE, P .
PHYSICS LETTERS B, 1983, 120 (1-3) :133-136
[2]   Planck 2013 results. XVI. Cosmological parameters [J].
Ade, P. A. R. ;
Aghanim, N. ;
Armitage-Caplan, C. ;
Arnaud, M. ;
Ashdown, M. ;
Atrio-Barandela, F. ;
Aumont, J. ;
Baccigalupi, C. ;
Banday, A. J. ;
Barreiro, R. B. ;
Bartlett, J. G. ;
Battaner, E. ;
Benabed, K. ;
Benoit, A. ;
Benoit-Levy, A. ;
Bernard, J. -P. ;
Bersanelli, M. ;
Bielewicz, P. ;
Bobin, J. ;
Bock, J. J. ;
Bonaldi, A. ;
Bond, J. R. ;
Borrill, J. ;
Bouchet, F. R. ;
Bridges, M. ;
Bucher, M. ;
Burigana, C. ;
Butler, R. C. ;
Calabrese, E. ;
Cappellini, B. ;
Cardoso, J. -F. ;
Catalano, A. ;
Challinor, A. ;
Chamballu, A. ;
Chary, R. -R. ;
Chen, X. ;
Chiang, H. C. ;
Chiang, L. -Y ;
Christensen, P. R. ;
Church, S. ;
Clements, D. L. ;
Colombi, S. ;
Colombo, L. P. L. ;
Couchot, F. ;
Coulais, A. ;
Crill, B. P. ;
Curto, A. ;
Cuttaia, F. ;
Danese, L. ;
Davies, R. D. .
ASTRONOMY & ASTROPHYSICS, 2014, 571
[3]   GLUEBALL MASSES AND STRING TENSION IN LATTICE QCD [J].
ALBANESE, M ;
COSTANTINI, F ;
FIORENTINI, G ;
FLORE, F ;
LOMBARDO, MP ;
TRIPICCIONE, R ;
BACILIERI, P ;
FONTI, L ;
GIACOMELLI, P ;
REMIDDI, E ;
BERNASCHI, M ;
CABIBBO, N ;
MARINARI, E ;
PARISI, G ;
SALINA, G ;
CABASINO, S ;
MARZANO, F ;
PAOLUCCI, P ;
PETRARCA, S ;
RAPUANO, F ;
MARCHESINI, P ;
RUSACK, R .
PHYSICS LETTERS B, 1987, 192 (1-2) :163-169
[4]  
[Anonymous], ARXIV151204892
[5]   3-LOOP FREE-ENERGY FOR HIGH-TEMPERATURE QED AND QCD WITH FERMIONS [J].
ARNOLD, P ;
ZHAI, CX .
PHYSICAL REVIEW D, 1995, 51 (04) :1906-1918
[6]   Thermodynamics of SU(3) gauge theory from gradient flow on the lattice [J].
Asakawa, Masayuki ;
Hatsuda, Tetsuo ;
Itou, Etsuko ;
Kitazawa, Masakiyo ;
Suzuki, Hiroshi .
PHYSICAL REVIEW D, 2014, 90 (01)
[7]   Equation of state in (2+1)-flavor QCD [J].
Bazavov, A. ;
Bhattacharya, Tanmoy ;
DeTar, C. ;
Ding, H. -T. ;
Gottlieb, Steven ;
Gupta, Rajan ;
Hegde, P. ;
Heller, U. M. ;
Karsch, F. ;
Laermann, E. ;
Levkova, L. ;
Mukherjee, Swagato ;
Petreczky, P. ;
Schmidt, C. ;
Schroeder, C. ;
Soltz, R. A. ;
Soeldner, W. ;
Sugar, R. ;
Wagner, M. ;
Vranas, P. .
PHYSICAL REVIEW D, 2014, 90 (09)
[8]   Quark number susceptibilities at high temperatures [J].
Bazavov, A. ;
Ding, H. -T. ;
Hegde, P. ;
Karsch, F. ;
Miao, C. ;
Mukherjee, Swagato ;
Petreczky, P. ;
Schmidt, C. ;
Velytsky, A. .
PHYSICAL REVIEW D, 2013, 88 (09)
[9]   Lattice QCD ensembles with four flavors of highly improved staggered quarks [J].
Bazavov, A. ;
Bernard, C. ;
Komijani, J. ;
DeTar, C. ;
Levkova, L. ;
Freeman, W. ;
Gottlieb, Steven ;
Zhou, Ran ;
Heller, U. M. ;
Hetrick, J. E. ;
Laiho, J. ;
Osborn, J. ;
Sugar, R. L. ;
Toussaint, D. ;
Van de Water, R. S. .
PHYSICAL REVIEW D, 2013, 87 (05)
[10]   Chiral transition and U(1)A symmetry restoration from lattice QCD using domain wall fermions [J].
Bazavov, A. ;
Bhattacharya, Tanmoy ;
Buchoff, Michael I. ;
Cheng, Michael ;
Christ, N. H. ;
Ding, H. -T. ;
Gupta, Rajan ;
Hegde, Prasad ;
Jung, Chulwoo ;
Karsch, F. ;
Lin, Zhongjie ;
Mawhinney, R. D. ;
Mukherjee, Swagato ;
Petreczky, P. ;
Soltz, R. A. ;
Vranas, P. M. ;
Yin, Hantao .
PHYSICAL REVIEW D, 2012, 86 (09)