Diquark mass differences from unquenched lattice QCD

Yujiang Bi; Hao Cai; Ying Chen; Ming Gong; Zhaofeng Liu; Hao-Xue Qiao; Yi-Bo Yang

doi:10.1088/1674-1137/40/7/073106

Chinese Physics C> 2016, Vol. 40> Issue(7) : 073106 DOI: 10.1088/1674-1137/40/7/073106

Diquark mass differences from unquenched lattice QCD

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Abstract：
We calculate diquark correlation functions in the Landau gauge on the lattice using overlap valence quarks and 2+1-flavor domain wall fermion configurations. Quark masses are extracted from the scalar part of quark propagators in the Landau gauge. The scalar diquark quark mass difference and axial vector scalar diquark mass difference are obtained for diquarks composed of two light quarks and of a strange and a light quark. The light sea quark mass dependence of the results is examined. Two lattice spacings are used to check the discretization effects. The coarse and fine lattices are of sizes 24³×64 and 32³×64 with inverse spacings 1/a=1.75(4) GeV and 2.33(5) GeV, respectively.
- lattice QCD ,
- diquarks ,
- overlap fermions ,
- Landau gauge

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[1]	M. Anselmino, E. Predazzi, S. Ekelin, S. Fredriksson, and D. B. Lichtenberg, Rev. Mod. Phys., 65:1199(1993)
[2]	H. G. Dosch, M. Jamin, and B. Stech, Z. Phys. C, 42:167(1989)
[3]	M. Neubert, and B. Stech, Phys. Rev. D, 44:775(1991)
[4]	S. K. Choi et al (Belle Collaboration), Phys. Rev. Lett., 91:262001(2003)
[5]	K. A. Olive et al (Particle Data Group Collaboration), Chin. Phys. C, 38:090001(2014)
[6]	M. Hess, F. Karsch, E. Laermann, and I. Wetzorke, Phys. Rev. D, 58:111502(1998)
[7]	C. Alexandrou, Ph. de Forcrand, and B. Lucini, Phys. Rev. Lett., 97:222002(2006)
[8]	R. Babich, N. Garron, C. Hoelbling, J. Howard, L. Lellouch, and C. Rebbi, Phys. Rev. D, 76:074021(2007)
[9]	K. Orginos, PoS LAT2005:054(2006)
[10]	Z. Fodor, C. Hoelbling, M. Mechtel, and K. Szabo, PoS LAT2005:310(2006)
[11]	T. DeGrand, Z. Liu, and S. Schaefer, Phys. Rev. D, 77:034505(2008)
[12]	J. Green, J. Negele, M. Engelhardt, and P. Varilly, PoS LATTICE 2010:140(2010)
[13]	R. T. Kleiv, T. G. Steele, A. Zhang, and I. Blokland, Phys. Rev. D, 87 (12):125018(2013)
[14]	Z. G. Wang, Commun. Theor. Phys., 59:451(2013)
[15]	L. Tang and X. Q. Li, Chin. Phys. C, 36:578(2012)
[16]	R. L. Jaffe, Phys. Rept., 409:1(2005)
[17]	T. A. DeGrand, R. L. Jaffe, K. Johnson, and J. E. Kiskis, Phys. Rev. D, 12:2060(1975).
[18]	G. 't Hooft, Phys. Rev. D, 14:3432(1976); Phys. Rev. D, 18:2199(1978)
[19]	T. Schfer and E. V. Shuryak, Rev. Mod. Phys., 70:323(1998)
[20]	Y. Aoki et al (RBC and UKQCD Collaborations), Phys. Rev. D, 83:074508(2011)
[21]	Y. B. Yang et al, Phys. Rev. D, 92 (3):034517(2015)
[22]	H. Neuberger, Phys. Lett. B, 417:141(1998)
[23]	T. W. Chiu and S. V. Zenkin, Phys. Rev. D, 59:074501(1999)
[24]	Z. Liu et al (chiQCD Collaboration), Phys. Rev. D, 90 (3):034505(2014)
[25]	J. Gasser, M. E. Sainio and A. Svarc, Nucl. Phys. B, 307:779(1988)
[26]	M. Gong et al (XQCD Collaboration), Phys. Rev. D, 88:014503(2013)
[27]	K. F. Liu, Y. Chen, M. Gong, R. Sufian, M. Sun, and A. Li, PoS LATTICE 2013:507(2014)
[28]	C. W. Bernard, D. Murphy, A. Soni, and K. K. Yee, Nucl. Phys. Proc. Suppl., 17:593(1990)

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[18]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[19]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[20]	Xue Shesheng . A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories. Chinese Physics C, 1988, 12(S2): 117-122.

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Yujiang Bi, Hao Cai, Ying Chen, Ming Gong, Zhaofeng Liu, Hao-Xue Qiao and Yi-Bo Yang. Diquark mass differences from unquenched lattice QCD[J]. Chinese Physics C, 2016, 40(7): 073106. doi: 10.1088/1674-1137/40/7/073106

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Received: 2015-10-27
Revised: 2016-03-04

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Supported by National Science Foundation of China (11575197, 10835002, 11405178, 11335001), joint funds of NSFC (U1232109), MG and ZL are partially supported by the Youth Innovation Promotion Association of CAS (2015013, 2011013), YC and ZL acknowledge support of NSFC and DFG (CRC110)

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Diquark mass differences from unquenched lattice QCD

Corresponding author: Yujiang Bi,

Corresponding author: Hao Cai,

Corresponding author: Zhaofeng Liu,

Received Date: 2015-10-27

Accepted Date: 2016-03-04

Available Online: 2016-07-05

Fund Project: Supported by National Science Foundation of China (11575197, 10835002, 11405178, 11335001), joint funds of NSFC (U1232109), MG and ZL are partially supported by the Youth Innovation Promotion Association of CAS (2015013, 2011013), YC and ZL acknowledge support of NSFC and DFG (CRC110)

Abstract: We calculate diquark correlation functions in the Landau gauge on the lattice using overlap valence quarks and 2+1-flavor domain wall fermion configurations. Quark masses are extracted from the scalar part of quark propagators in the Landau gauge. The scalar diquark quark mass difference and axial vector scalar diquark mass difference are obtained for diquarks composed of two light quarks and of a strange and a light quark. The light sea quark mass dependence of the results is examined. Two lattice spacings are used to check the discretization effects. The coarse and fine lattices are of sizes 24³×64 and 32³×64 with inverse spacings 1/a=1.75(4) GeV and 2.33(5) GeV, respectively.

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Diquark mass differences from unquenched lattice QCD

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通讯作者: 陈斌, [email protected]

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