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

Abstract
HTML
Reference
Related

PDF

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.

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

[1]	Ya-Peng Zhao , Rui-Rui Zhang , Han Zhang , Hong-Shi Zong . Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume. Chinese Physics C, 2019, 43(6): 063101. doi: 10.1088/1674-1137/43/6/063101
[2]	Chao Shi , Wenbao Jia , An Sun , Liping Zhang , Hongshi Zong . Chiral crossover transition in a finite volume. Chinese Physics C, 2018, 42(2): 023101. doi: 10.1088/1674-1137/42/2/023101
[3]	Hao Liu , Lang Yu , Mei Huang . Survival of charged ρ condensation at high temperature and density. Chinese Physics C, 2016, 40(2): 023102. doi: 10.1088/1674-1137/40/2/023102
[4]	Ling-Xiao Cui , Zhen Fang , Yue-Liang Wu . Finite temperature effect in infrared-improved AdS/QCD model with back reaction of bulk vacuum. Chinese Physics C, 2016, 40(6): 063101. doi: 10.1088/1674-1137/40/6/063101
[5]	ZHAO Xian-Feng , JIA Huan-Yu . Transition density of the large mass hyperon star. Chinese Physics C, 2014, 38(1): 015101. doi: 10.1088/1674-1137/38/1/015101
[6]	CHEN Li-Zhu , CHEN Yun-Yun , WU Yuan-Fang . Finite-size behavior near the critical point of QCD phase-transition. Chinese Physics C, 2014, 38(10): 104103. doi: 10.1088/1674-1137/38/10/104103
[7]	WANG Dian-Fu , SUN Xiao-Yu , LIANG Chao . Dynamical CP violation at finite temperature. Chinese Physics C, 2012, 36(9): 805-809. doi: 10.1088/1674-1137/36/9/002
[8]	LIU Jia , KANG Zhong-Bo , WANG En-ke . Recursive method for opacity expansion at finite temperature. Chinese Physics C, 2011, 35(1): 44-49. doi: 10.1088/1674-1137/35/1/010
[9]	A. Maas . Describing gluons at zero and finite temperature. Chinese Physics C, 2010, 34(9): 1328-1330.
[10]	JIANG Yu , LI Ning , SUN Wei-Min , ZONG Hong-Shi . Calculation of equation of state of QCD at zero temperature and finite chemical potential. Chinese Physics C, 2010, 34(9): 1324-1327. doi: 10.1088/1674-1137/34/9/033
[11]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[12]	Zheng Xite , Lei Chunhong , Li Yuliang , Chen Hong . Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(S3): 271-276.
[13]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[14]	Wang Enke , Li Jiarong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(S2): 193-200.
[15]	GAO Song , LI Jia-Rong . Coupling Constant in High Temperature QCD and Deconfinement Phase Transition. Chinese Physics C, 1991, 15(2): 117-122.
[16]	Zheng Xite , Liu Beishu . Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature. Chinese Physics C, 1990, 14(S4): 367-375.
[17]	Bi Pinzhen . Kaon Condensation at Finite Temperature. Chinese Physics C, 1989, 13(S1): 49-52.
[18]	Sa Benhao , Zheng Yuming , Zhang Xiaoze , Lu Zhaoqi , Xu Shuyan , D. H. E. Gross . Behaviors of the Phase Transition Exhibited in the Disassembly of Hot, Dilute and Finite Nuclei. Chinese Physics C, 1989, 13(S1): 53-58.
[19]	Wang Enke , Li Jiarong . Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.
[20]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(1949)
PDF Downloads(292)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者: 陈斌, bchen63@163.com

1.
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.