Curvature of Pseudocritical Transition Line for Two-Flavor QCD with Improved Kogut–Susskind Quarks
Liang-Kai Wu1** , Xiang-Fei Meng2 , Fa-Ling Zhang1
1 Faculty of Science, Jiangsu University, Zhenjiang 2120132 National Supercomputer Center, Tianjin 300457
Abstract :The results on the curvature of a pseudocritical transition line for two-flavor QCD through lattice simulations are presented. The simulations are carried out with Symanzik-improved gauge action and Asqtad fermion action on a lattice $12^3\times4$ at quark mass $am=0.010$. At the imaginary chemical potentials $a\mu_{_{\rm I}}=0.050$, 0.150, 0.200, 0.225 and 0.250, we investigate the chiral condensate $\bar\psi\psi$, plaquette variable $P$ and imaginary part of Polyakov loop ${\rm Im}(L)$ and their susceptibilities. Analytic continuation from an imaginary chemical potential to a real one is used to obtain the expression for transition temperature as a function of the chemical potential. The curvature is 0.0326(46).
收稿日期: 2016-11-02
出版日期: 2017-03-21
[1] Ding H T, Karsch F and Mukherjee S 2015 Int. J. Mod. Phys. E 24 1530007 [2] Cleymans J and Redlich K 1998 Phys. Rev. Lett. 81 5284 [3] Hasenfratz P and Karsch F 1983 Phys. Lett. B 125 308 [4] Philipsen O 2006 PoS LAT 2005 016 Schmidt C 2006 PoS LAT 2006 021 De Forcrand P 2009 PoS LAT 2009 010 Aarts G 2012 PoS LAT 2012 017 [5] Cea P, Cosmai L and Papa A 2016 Phys. Rev. D 93 014507 [6] De Forcrand P and Philipsen O 2010 Phys. Rev. Lett. 105 152001 [7] D'Elia M and Sanfilippo F 2009 Phys. Rev. D 80 111501 [8] Bonati C, Cossu G, D'Elia M and Sanfilippo F 2011 Phys. Rev. D 83 054505 [9] Nagata K and Nakamura A 2011 Phys. Rev. D 83 114507 [10] D'Elia M, Di Renzo F and Lombardo M P 2007 Phys. Rev. D 76 114509 [11] De Forcrand P and Philipsen O 2008 J. High Energy Phys. 0811 012 [12] Wu L K, Luo X Q and Chen H C 2007 Phys. Rev. D 76 034505 [13] Wu L K 2010 Chin. Phys. Lett. 27 021101 [14] Symanzik K 1983 Nucl. Phys. B 226 187 [15] Luscher M and Weisz P 1985 Phys. Lett. B 158 250 [16] Lepage G P and Mackenzie P B 1993 Phys. Rev. D 48 2250 [17] Alford M G, Dimm W, Lepage G P, Hockney G and Mackenzie P B 1995 Phys. Lett. B 361 87 [18] Blum T et al 1997 Phys. Rev. D 55 R1133 [19] Orginos K et al [MILC Collaboration] 1999 Phys. Rev. D 60 054503 [20] Bazavov A et al 2012 Phys. Rev. D 85 054503 [21] Bazavov A et al [MILC Collaboration] 2010 Rev. Mod. Phys. 82 1349 [22] Naik S 1989 Nucl. Phys. B 316 238 [23] Bernard CW et al [MILC Collaboration] 1998 Phys. Rev. D 58 014503 [24] Clark M A and Kennedy A D 2004 Nucl. Phys. Proc. Suppl. 129–130 850 [25] Clark M A and Kennedy A D 2007 Phys. Rev. D 75 011502 [26] Clark M A and Kennedy A D 2007 Phys. Rev. Lett. 98 051601 [27] Takaishi T and De Forcrand P 2006 Phys. Rev. E 73 036706 [28] Omeylan I P, Mryglod I M and Folk R 2003 Comp. Phys. Comm. 151 272 [29] Roberge A and Weiss N 1986 Nucl. Phys. B 275 734 [30] De Forcrand P and Philipsen O 2002 Nucl. Phys. B 642 290 [31] Sommer R 1994 Nucl. Phys. B 411 839 [32] Cheng M et al 2006 Phys. Rev. D 74 054507 [33] Bonati C, D'Elia M, Mariti M, Mesiti M, Negro F and Sanfilippo F 2015 Phys. Rev. D 92 054503 [34] http://physics. utah.edu/ detar/milc/
[1]
. [J]. 中国物理快报, 2021, 38(10): 101201-.
[2]
. [J]. 中国物理快报, 2018, 35(4): 41101-.
[3]
FU Zi-Wen**
. Lattice QCD Study of the σ Meson [J]. 中国物理快报, 2011, 28(8): 81202-081202.
[4]
CAO Jing;ZHAO A-Meng;LUO Liu-Jun;SUN Wei-Min;ZONG Hong-Shi;. Calculation of Quark-Number Susceptibility at Finite Chemical Potential and Temperature [J]. 中国物理快报, 2010, 27(3): 31201-031201.
[5]
ZHANG Yan-Bin;SUN Wei-Min;LÜXiao-Fu;ZONG Hong-Shi;. Revisiting Chiral Extrapolation by Studying a Lattice Quark Propagator [J]. 中国物理快报, 2009, 26(8): 81101-081101.
[6]
WU Liang-Kai;LUO Xiang-Qian. Transition Temperature of Two-Degenerate-Flavour QCD in the Chiral Limit [J]. 中国物理快报, 2007, 24(10): 2769-2772.
[7]
LIU Liu-Ming;SU Shi-Quan;LI Xin;LIU Chuan. Quenched Charmed Meson Spectra Using Tadpole Improved Quark Action on Anisotropic Lattices [J]. 中国物理快报, 2005, 22(9): 2198-2200.
[8]
LIU Da-Qing. Charmonium Spectrum from Quenched Lattice QCD with Tadpole\\ Improvement Action [J]. 中国物理快报, 2004, 21(11): 2136-2139.
[9]
DONG Shao-Jing;ZHANG Jian-Bo;YING He-Ping. Empirical Baye’s Method and Roper Resonance State in Very Light Quark Region [J]. 中国物理快报, 2003, 20(5): 626-628.
[10]
MEI Zhong-Hao; LUO Xiang-Qian;Eric B. GREGORY;. Light Hadron Masses in Quantum Chromodynamics with Valence Wilson Quarks at β = 6.25 from a Parallel PC Cluster [J]. 中国物理快报, 2002, 19(5): 636-639.
[11]
LIU Chuan;MA Jian-Ping. Light Hadron Masses from Lattice Quantum Chromodynamics on Asymmetric Lattices with Improved Actions [J]. 中国物理快报, 2002, 19(5): 640-643.
[12]
LIU Da-Qing;WU Ji-Min;CHEN Ying. Calculation of the Perturbative Expansion of Wilson Operators on the Lattice [J]. 中国物理快报, 2001, 18(11): 1442-1445.
[13]
YANG Chun;ZHANG Qi-Ren;GAO Chun-Yuan. Variational Calculation in SU(3) Lattice Gauge
Theory [J]. 中国物理快报, 2001, 18(5): 634-637.
[14]
LIU Chuan. A Lattice Study of the Glueball Spectrum [J]. 中国物理快报, 2001, 18(2): 187-189.
[15]
CHEN Ying;HE Bing;LIU Da-Qing;WU Ji-Min. Topology of SU(2) Vacuum Through Improved Coolings [J]. 中国物理快报, 2000, 17(9): 640-642.