Chiral crossover transition in a finite volume

Chao Shi; Wenbao Jia; An Sun; Liping Zhang; Hongshi Zong

doi:10.1088/1674-1137/42/2/023101

Chinese Physics C> 2018, Vol. 42> Issue(2) : 023101 DOI: 10.1088/1674-1137/42/2/023101

Chiral crossover transition in a finite volume

Chao Shi ^1,, ,
Wenbao Jia ^2,, ,
An Sun ¹ ,
Liping Zhang ³ ,
Hongshi Zong ^1,4,5,,

1.
College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
2.
College of Materials Science and Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
3.
Key laboratory of road construction &
4.
College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
5.
Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China
6.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

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Abstract：
Finite volume effects on the chiral crossover transition of strong interactions at finite temperature are studied by solving the quark gap equation within a cubic volume of finite size L. With the anti-periodic boundary condition, our calculation shows the chiral quark condensate, which characterizes the strength of dynamical chiral symmetry breaking, decreases as L decreases below 2.5 fm. We further study the finite volume effects on the pseudo-transition temperature T_c of the crossover, showing a significant decrease in T_c as L decreases below 3 fm.
- chiral crossover transition ,
- finite-volume effects ,
- quark gap equation

References

[1]	J. Adams et al (STAR Collaboration), Nucl. Phys. A, 757:102 (2005)
[2]	E. Shuryak, Prog. Part. Nucl. Phys., 62:48 (2009)
[3]	E. Shuryak, Prog. Part. Nucl. Phys., 53:273 (2004)
[4]	W. A. Zajc, Nucl. Phys. A, 805:283 (2008)
[5]	E. Bilgici, F. Bruckmann, C. Gattringer, and C. Hagen, Phys. Rev. D, 77:094007 (2008)
[6]	C. S. Fischer, Phys. Rev. Lett., 103:052003 (2009)
[7]	G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, JHEP, 1104:001 (2011)
[8]	M. Asakawa and K. Yazaki, Nucl. Phys. A, 504:668 (1989)
[9]	A. Bazavov et al (HotQCD Collaboration), Phys. Rev. D, 90:094503 (2014)
[10]	C. Shi, Y. L. Wang, Y. Jiang, Z. F. Cui, and H. S. Zong, JHEP, 1407:014 (2014)
[11]	S. A. Bass et al, Prog. Part. Nucl. Phys., 41:255 (1998)
[12]	G. Graef, M. Bleicher, and Q. Li, Phys. Rev. C, 85:044901 (2012)
[13]	L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G, 38:085101 (2011)
[14]	J. Gasser and H. Leutwyler, Phys. Lett. B, 188:477 (1987)
[15]	F. C. Hansen, Nucl. Phys. B, 345:685 (1990).
[16]	P. H. Damgaard and H. Fukaya, JHEP, 0901:052 (2009)
[17]	J. Braun, B. Klein, and B. J. Schaefer, Phys. Lett. B, 713:216 (2012)
[18]	J. Braun, B. Klein, H.-J. Pirner, and A. H. Rezaeian, Phys. Rev. D, 73:074010 (2006)
[19]	A. Bhattacharyya, R. Ray, and S. Sur, Phys. Rev. D, 91(5):051501 (2015)
[20]	A. Bhattacharyya, P. Deb, S. K. Ghosh, R. Ray, and S. Sur, Phys. Rev. D, 87(5):054009 (2013)
[21]	Z. Pan, Z. F. Cui, C. H. Chang, and H. S. Zong, Int. J. Mod. Phys. A, 32(13):1750067 (2017)
[22]	C. D. Roberts, Prog. Part. Nucl. Phys., 61:50 (2008)
[23]	C. S. Fischer and J. Luecker, Phys. Lett. B, 718:1036 (2013)
[24]	C. Shi, Y. L. Du, S. S. Xu, X. J. Liu, and H. S. Zong, Phys. Rev. D, 93(3):036006 (2016)
[25]	J. Luecker, C. S. Fischer, and R. Williams, Phys. Rev. D, 81:094005 (2010)
[26]	B. Klein, Phys. Rept., 09:002 (2017)
[27]	C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys., 45:S1 (2000)
[28]	P. Maris and P. C. Tandy, Phys. Rev. C, 60:055214 (1999)
[29]	A. Bazavov et al.:Phys. Rev. D 85:054503 (2012)
[30]	H.-T. Ding, A. Bazavov, F. Karsch, Y. Maezawa, S. Mukherjee, and P. Petreczky, PoS LATTICE, 2013:157 (2014)
[31]	A. Bazavov, H.-T. Ding, P. Hegde, F. Karsch, E. Laermann, S. Mukherjee, P. Petreczky, and C. Schmidt, Phys. Rev. D, 95(7):074505 (2017)

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[14]	Li Panlin , Wu Hua , Xu Mengjie . Dynamics of Phase Transition Including Quark-Fragment Effects for an Expansion Quark-Gluon Plasma. Chinese Physics C, 1997, 21(S4): 55-64.
[15]	Deng Shenghua , Li Jiarong . Equation of State in the F-L Model and a Physical Picture of Deconfinement Transition. Chinese Physics C, 1994, 18(Z1): 49-54.
[16]	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.
[17]	Sang Jianping , Liu Chaoshan , Liu Yong . Relationships Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region of N=88~90. Chinese Physics C, 1991, 15(S2): 173-181.
[18]	Xu Xiaoming , Qiu Xijun . A Chiral Quark-Soliton Model Theory for Nuclear Force. Chinese Physics C, 1990, 14(S4): 381-389.
[19]	Wang Enke , Li Jiarong . Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.
[20]	Liu Baohua , Li Jiarong . The Mean-Field Analysis for Chiral Symmetry Phase Transition. Chinese Physics C, 1988, 12(S4): 373-378.

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Chao Shi, Wenbao Jia, An Sun, Liping Zhang and Hongshi Zong. Chiral crossover transition in a finite volume[J]. Chinese Physics C, 2018, 42(2): 023101. doi: 10.1088/1674-1137/42/2/023101

Chao Shi, Wenbao Jia, An Sun, Liping Zhang and Hongshi Zong. Chiral crossover transition in a finite volume[J]. Chinese Physics C, 2018, 42(2): 023101. doi: 10.1088/1674-1137/42/2/023101 shu

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Received: 2017-11-09

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Supported by National Natural Science Foundation of China (11475085, 11535005, 11690030, 51405027), the Fundamental Research Funds for the Central Universities (020414380074), China Postdoctoral Science Foundation (2016M591808) and Open Research Foundation of State Key Lab. of Digital Manufacturing Equipment Technology in Huazhong University of Science Technology (DMETKF2015015)

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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

Chiral crossover transition in a finite volume

Corresponding author: Chao Shi,

Corresponding author: Wenbao Jia,

Corresponding author: Hongshi Zong,

1. College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China

2. College of Materials Science and Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

3. Key laboratory of road construction &

4. College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China

5. Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

6. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

Received Date: 2017-11-09

Available Online: 2018-02-05

Fund Project: Supported by National Natural Science Foundation of China (11475085, 11535005, 11690030, 51405027), the Fundamental Research Funds for the Central Universities (020414380074), China Postdoctoral Science Foundation (2016M591808) and Open Research Foundation of State Key Lab. of Digital Manufacturing Equipment Technology in Huazhong University of Science Technology (DMETKF2015015)

Abstract: Finite volume effects on the chiral crossover transition of strong interactions at finite temperature are studied by solving the quark gap equation within a cubic volume of finite size L. With the anti-periodic boundary condition, our calculation shows the chiral quark condensate, which characterizes the strength of dynamical chiral symmetry breaking, decreases as L decreases below 2.5 fm. We further study the finite volume effects on the pseudo-transition temperature T_c of the crossover, showing a significant decrease in T_c as L decreases below 3 fm.

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Chiral crossover transition in a finite volume

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