Quark Number Density Susceptibilities in Lattice QCD

MENG Xiang-Fei; LIU Yu-Bin

Chinese Physics C> 2006, Vol. 30> Issue(12) : 1222-1224

Quark Number Density Susceptibilities in Lattice QCD

MENG Xiang-Fei ,
LIU Yu-Bin ^,

Department of Physics, Nankai University, Tianjin 300071, China

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Abstract：
We measured charge fluctuation and fermion number density susceptibility using lattice QCD with two light flavors of staggered quarks on 16×8²×4 lattice. Below the critical temperature, we simulated them with the sub-volume for V=(2a)³×(8a)³, where \left(a=\kou\dfrac{1}{4T}\right). We find that new aspect is observation of volume dependence in the fluctuations. The charge fluctuation and fermion number density susceptibility vary with the volume for V. This suggests the existence of hadronic length scale in the charge fluctuation and fermion number density susceptibility. Above critical temperature, charge fluctuation and fermion number density susceptibility are almost volume independent for V≥(2a)³.

References

[1]

. Shuryak E V, Stephanov M A. Phys. Rev., 2001, C63:0649032. Heiselberg H, Jackson A D. Phys. Rev., 2001, C63: 0649043. Aggarwal M M et al. Phys. Rev., 2001, C64: 0119014. Mrówczyski S. Phys. Lett., 1999, B465: 8; Phys. Lett.,1999, B459: 13; Phys. Lett., 1998, B430: 95. NA49 Collaboration, Appelshuser H et al. Phys. Lett.,1999, B459: 6796. Asakawa M, Heinz U, Müller B. Phys. Rev. Lett., 2000, 85:20727. Jeon S, Koch V. Phys. Rev. Lett., 2000, 85: 20768. Stephanov M A. Phys. Rev. Lett., 1996, 76: 44729. Gottlieb S et al. Phys. Rev., 1997, D55: 6852; Phys. Rev.,1993, D47: 361910. Son D T, Stephanov M A. Phys. Rev. Lett., 2002, 88:20230211. CP-PACS Collaboration(Ali A et al.). Phys. Rev., 2001,D64: 074510

[1]	CHEN Yue-De , PENG Guang-Xiong , WEN Xin-Jian . Color-Flavor Locked Strange Quark Matter in a Mass Density-Dependent Model. Chinese Physics C, 2007, 31(3): 269-273.
[2]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[3]	YANG Fang , SHEN Hong . Quark-meson coupling model with a density-dependent bag constant for nuclear matter and finite nuclei. Chinese Physics C, 2006, 30(7): 620-624.
[4]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[5]	Jiang Junqin , Luo Xiangqian . Study of the Vacuum State in (2+1)-Dimensional U(1) Lattice Gauge Theory. Chinese Physics C, 1999, 23(8): 774-783.
[6]	Zhao Peiying , Wu Jimin . Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[7]	Huang Liangxin , Li Hong , Chen Tianlun . Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[8]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[9]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[10]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[11]	CHEN Qi-Zhou , FANG Xi-Yan , XU Guo-Cai , LIU Jin-Ming , LUO Xiang-Qian . Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[12]	ZHENG Bo . THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[13]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[14]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[15]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[16]	LI Wen-Zhu , ZHANG Jian-Bo , JI Da-Ren . MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(2): 164-169.
[17]	CHEN De-Fang , SONG Yong-Shen , CHEN Tian-Lun , ZHENG Xi-Te , HE Xiang-Hao , XIAN Ding-Chang . ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1986, 10(1): 32-39.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[19]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[20]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.

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MENG Xiang-Fei and LIU Yu-Bin. Quark Number Density Susceptibilities in Lattice QCD[J]. Chinese Physics C, 2006, 30(12): 1222-1224.

MENG Xiang-Fei and LIU Yu-Bin. Quark Number Density Susceptibilities in Lattice QCD[J]. Chinese Physics C, 2006, 30(12): 1222-1224. shu

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Received: 2006-07-10
Revised: 1900-01-01

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Quark Number Density Susceptibilities in Lattice QCD

MENG Xiang-Fei
LIU Yu-Bin ^,

Corresponding author: LIU Yu-Bin,

Department of Physics, Nankai University, Tianjin 300071, China

Received Date: 2006-07-10
Accepted Date: 1900-01-01
Available Online: 2006-12-05

Abstract: We measured charge fluctuation and fermion number density susceptibility using lattice QCD with two light flavors of staggered quarks on 16×8²×4 lattice. Below the critical temperature, we simulated them with the sub-volume for V=(2a)³×(8a)³, where \left(a=\kou\dfrac{1}{4T}\right). We find that new aspect is observation of volume dependence in the fluctuations. The charge fluctuation and fermion number density susceptibility vary with the volume for V. This suggests the existence of hadronic length scale in the charge fluctuation and fermion number density susceptibility. Above critical temperature, charge fluctuation and fermion number density susceptibility are almost volume independent for V≥(2a)³.