Phase transition in finite density and temperature lattice QCD

WANG Rui; CHEN Ying; GONG Ming; LIU Chuan; LIU Yu-Bin; LIU Zhao-Feng; MA Jian-Ping; MENG Xiang-Fei; ZHANG Jian-Bo

doi:10.1088/1674-1137/39/6/063103

Chinese Physics C> 2015, Vol. 39> Issue(6) : 063103 DOI: 10.1088/1674-1137/39/6/063103

Phase transition in finite density and temperature lattice QCD

WANG Rui ^1,, ,
CHEN Ying ^2,3 ,
GONG Ming ² ,
LIU Chuan ^4,8 ,
LIU Yu-Bin ¹ ,
LIU Zhao-Feng ² ,
MA Jian-Ping ⁵ ,
MENG Xiang-Fei ⁶ ,
ZHANG Jian-Bo ⁷

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We investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of β and ma at the lattice size 24×12²×6. The calculation was done in the Taylor expansion formalism. We are able to calculate the first and second order derivatives of <ψψ> in both isoscalar and isovector channels. With the first derivatives being small, we find that the second derivatives are sizable close to the phase transition and that the magnitude of ψψ decreases under the influence of finite chemical potential in both channels.

References

[1]

Wilson K G. Phys. Rev. D, 1974, 10: 2445[2] Martin A, Richard J M et al. Phys. Lett. B, 1995, 355: 345[3] Alexandrou C, Borrelli A et al. Phys. Lett. B, 1994, 337: 340[4] Tripolt R A, Smekal L V et al. Phys. Rev. D, 2014, 90: 074031[5] DING Heng-Tong, Francis A et al. Phys. Rev. D, 2011, 83: 034504[6] Nielson H B, Ninomiya M et al. Nucl. Phys. B, 1981, 193: 173[7] Ginparg P H, Wilson K G et al. Phys. Rev. D, 1982, 25: 2649[8] Maarten F L Golterman. Nucl. Phys. B, 1986, 278: 417[9] Bali G S, Bruckmann F et al. JHEP, 2012, 1202: 044[10] GAO Jian-Hua, LIANG Zuo-Tang et al. Phys. Rev. Lett, 2012, 109: 232301[11] YU Lang, LIU Hao et al. Phys. Rev. D, 2014, 90: 074009[12] Choe S, Forcrand P D et al. Phys. Rev. D, 2002, 65: 054501

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WANG Rui, CHEN Ying, GONG Ming, LIU Chuan, LIU Yu-Bin, LIU Zhao-Feng, MA Jian-Ping, MENG Xiang-Fei and ZHANG Jian-Bo. Phase transition in finite density and temperature lattice QCD[J]. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103

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Received: 2015-01-13
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Phase transition in finite density and temperature lattice QCD

Corresponding author: WANG Rui,

Received Date: 2015-01-13
Accepted Date: 1900-01-01
Available Online: 2015-06-05

Abstract: We investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of β and ma at the lattice size 24×12²×6. The calculation was done in the Taylor expansion formalism. We are able to calculate the first and second order derivatives of <ψψ> in both isoscalar and isovector channels. With the first derivatives being small, we find that the second derivatives are sizable close to the phase transition and that the magnitude of ψψ decreases under the influence of finite chemical potential in both channels.