Quark Number Density Susceptibilities in Lattice QCD

MENG Xiang-Fei; LIU Yu-Bin

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《中国物理C》（英文）编辑部

2024年10月30日

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

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. 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

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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.