Quark chiral condensate from the overlap quark propagator

Chao Wang; Yujiang Bi; Hao Cai; Ying Chen; Ming Gong; Zhaofeng Liu

doi:10.1088/1674-1137/41/5/053102

Chinese Physics C> 2017, Vol. 41> Issue(5) : 053102 DOI: 10.1088/1674-1137/41/5/053102

Quark chiral condensate from the overlap quark propagator

Chao Wang ^1,2,, ,
Yujiang Bi ³ ,
Hao Cai ³ ,
Ying Chen ^1,2 ,
Ming Gong ^1,2 ,
Zhaofeng Liu ^1,2,,

1.
Institute of High Energy Physics and Theoretical Physics Center for Science Facilities,Chinese Academy of Sciences, Beijing 100049, China
2.
School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China
3.
School of Physics and Technology, Wuhan University, Wuhan 430072, China

Abstract
HTML
Reference
Related

PDF

Abstract：
From the overlap lattice quark propagator calculated in the Landau gauge, we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data. The quark propagators are computed on domain wall fermion configurations generated by the RBC-UKQCD Collaborations with N_f=2+1 flavors. Three ensembles with different light sea quark masses are used at one lattice spacing 1/a=1.75(4) GeV. We obtain <ψψ>^MS(2 GeV)=(-304(15)(20) MeV)³ in the SU(2) chiral limit.
- quark propagator ,
- quark chiral condensate ,
- overlap fermions ,
- Landau gauge ,
- lattice QCD

References

[1]	T. Blum et al (RBC and UKQCD Collaborations), Phys. Rev. D, 93(7): 074505 (2016) doi:10.1103/PhysRevD.93.074505 [arXiv:1411.7017 [hep-lat]]
[2]	A. Bazavov et al, PoS LATTICE, 2010: 083 (2010) [arXiv:1011.1792 [hep-lat]]
[3]	K. Cichy, E. Garcia-Ramos, and K. Jansen, JHEP, 1310: 175 (2013) doi:10.1007/JHEP10(2013)175 [arXiv:1303.1954 [hep-lat]]
[4]	S. Borsanyi, S. Durr, Z. Fodor, S. Krieg, A. Schafer, E. E. Scholz, and K. K. Szabo, Phys. Rev. D, 88: 014513 (2013) doi:10.1103/PhysRevD.88.014513 [arXiv:1205.0788 [hep-lat]]
[5]	S. D rr et al (Budapest-Marseille-Wuppertal Collaboration), Phys. Rev. D, 90 (11): 114504 (2014) doi:10.1103/PhysRevD.90.114504 [arXiv:1310.3626 [hep-lat]]
[6]	R. Baron et al (ETM Collaboration), JHEP, 1008: 097 (2010) doi:10.1007/JHEP08(2010)097 [arXiv:0911.5061 [hep-lat]]
[7]	B. B. Brandt, A. Jttner, and H. Wittig, JHEP, 1311: 034 (2013) doi:10.1007/JHEP11(2013)034 [arXiv:1306.2916 [hep-lat]]
[8]	G. P. Engel, L. Giusti, S. Lottini, and R. Sommer, Phys. Rev. D, 91 (5): 054505 (2015) doi:10.1103/PhysRevD.91.054505 [arXiv:1411.6386 [hep-lat]]
[9]	T. DeGrand, Z. Liu, and S. Schaefer, Phys. Rev. D, 74: 094504 (2006); Phys. Rev. D, 74: 099904 (2006) doi:10.1103/PhysRevD.74.094504, 10.1103/PhysRevD.74.099904 [hep-lat/0608019]
[10]	S. Aoki et al, arXiv:1607.00299 [hep-lat]
[11]	F. Burger, V. Lubicz, M. M ller-Preussker, S. Simula, and C. Urbach, Phys. Rev. D, 87 (3): 034514 (2013); Phys. Rev. D, 87: 079904 (2013) doi:10.1103/PhysRevD.87.034514, 10.1103/PhysRevD.87.079904 [arXiv:1210.0838 [hep-lat]]
[12]	P. O. Bowman, U. M. Heller, D. B. Leinweber, M. B. Parappilly, and A. G. Williams, Nucl. Phys. Proc. Suppl., 161: 27 (2006) doi:10.1016/j.nuclphysbps.2006.08.078
[13]	D. Becirevic and V. Lubicz, Phys. Lett. B, 600: 83 (2004) doi:10.1016/j.physletb.2004.07.065 [hep-ph/0403044]
[14]	P. Boucaud, J. P. Leroy, A. L. Yaouanc, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Rev. D, 81: 094504 (2010) doi:10.1103/PhysRevD.81.094504 [arXiv:0912.3173 [hep-lat]]
[15]	V. Gimenez, V. Lubicz, F. Mescia, V. Porretti, and J. Reyes, Eur. Phys. J. C, 41: 535 (2005) doi:10.1140/epjc/s2005-02250-9 [hep-lat/0503001]
[16]	K. G. Chetyrkin and A. Maier, JHEP, 1001: 092 (2010) doi:10.1007/JHEP01(2010)092 [arXiv:0911.0594 [hep-ph]]
[17]	K. G. Chetyrkin and A. Retey, Nucl. Phys. B, 583: 3 (2000) doi:10.1016/S0550-3213(00)00331-X [hep-ph/9910332]
[18]	Y. Aoki et al (RBC and UKQCD Collaborations), Phys. Rev. D, 83: 074508 (2011) [arXiv:1011.0892 [hep-lat]]}
[19]	Y. B. Yang et al, Phys. Rev. D, 92 (3): 034517 (2015) [arXiv:1410.3343 [hep-lat]]}
[20]	H. Neuberger, Phys. Lett. B, 417: 141 (1998) [hep-lat/9707022]}
[21]	T. -W. Chiu and S. V. Zenkin, Phys. Rev. D, 59: 074501 (1999) [hep-lat/9806019]}
[22]	Z. Liu et al (chiQCD Collaboration), Phys. Rev. D, 90 (3): 034505 (2014) [arXiv:1312.7628 [hep-lat]]}
[23]	Y. Bi, H. Cai, Y. Chen, M. Gong, Z. Liu, H. X. Qiao, and Y. B. Yang, Chin. Phys. C, 40 (7): 073106 (2016) doi:10.1088/1674-1137/40/7/073106 [arXiv:1510.07354 [hep-ph]]
[24]	B. Blossier et al, Phys. Rev. D, 83: 074506 (2011) doi:10.1103/PhysRevD.83.074506 [arXiv:1011.2414 [hep-ph]]
[25]	B. Blossier et al (ETM Collaboration), Phys. Rev. D, 82: 034510 (2010) doi:10.1103/PhysRevD.82.034510 [arXiv: 1005.5290 [hep-lat]]
[26]	C. Patrignani et al (Particle Data Group Collaboration), Chin. Phys. C, 40 (10): 100001 (2016). doi:10.1088/1674-1137/40/10/100001
[27]	G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, Nucl. Phys. B, 445: 81 (1995) [arXiv:hep-lat/9411010]}

[1]	Dong-Hao Li , Ying Chen , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Ting-Xiao Wang , (χQCD Collaboration) . Charm physics with overlap fermions on 2+1-flavor domain wall fermion configurations. Chinese Physics C, 2024, 48(12): 123104. doi: 10.1088/1674-1137/ad736f
[2]	Ying Chen , Wei-Feng Chiu , Ming Gong , Zhaofeng Liu , Yunheng Ma , (χQCD Collaboration) . Charmed and ϕ meson decay constants from 2+1-flavor lattice QCD. Chinese Physics C, 2021, 45(2): 023109. doi: 10.1088/1674-1137/abcd8f
[3]	Zhen Cheng , Jian-Bo Zhang , Guang-Yi Xiong . Calculation of disconnected quark loops in lattice QCD. Chinese Physics C, 2020, 44(3): 033104. doi: 10.1088/1674-1137/44/3/033104
[4]	Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Jian-Hui Zhang , Yong Zhao . Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP³ Collaboration). Chinese Physics C, 2019, 43(10): 103101. doi: 10.1088/1674-1137/43/10/103101
[5]	Yubing Dong , Fei Huang , Pengnian Shen , Zongye Zhang . On the decays of d^* in a constituent chiral quark model. Chinese Physics C, 2017, 41(10): 101001. doi: 10.1088/1674-1137/41/10/101001
[6]	Bin Zhou , Zhi-Feng Sun , Xiang Liu , Shi-Lin Zhu . Chiral corrections to the 1^-+ exotic meson mass. Chinese Physics C, 2017, 41(4): 043101. doi: 10.1088/1674-1137/41/4/043101
[7]	You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma . Investigating the topological structure of quenched lattice QCD with overlap fermions using a multi-probing approximation. Chinese Physics C, 2017, 41(10): 103104. doi: 10.1088/1674-1137/41/10/103104
[8]	Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu , Hao-Xue Qiao , Yi-Bo Yang . Diquark mass differences from unquenched lattice QCD. Chinese Physics C, 2016, 40(7): 073106. doi: 10.1088/1674-1137/40/7/073106
[9]	PENG Jin-Song , ZHOU Li-Juan , MENG Cheng-Ju , PAN Ji-Huan , MA Wei-Xing , YUAN Tong-Quan . Ratio of a strange quark mass m_s to up or down quark mass m_u,d predicted by a quark propagator in the frameworkof the chiral perturbation theory. Chinese Physics C, 2013, 37(4): 043101. doi: 10.1088/1674-1137/37/4/043101
[10]	CHEN Shao-Na , PING Jia-Lun . Radial excitation states of η and η' in the chiral quark model. Chinese Physics C, 2012, 36(8): 681-690. doi: 10.1088/1674-1137/36/8/001
[11]	LI Ming-Tao , DONG Yu-Bing , ZHANG Zong-Ye . A study of meson-meson potential in the chiral quark model. Chinese Physics C, 2011, 35(7): 622-628. doi: 10.1088/1674-1137/35/7/005
[12]	LAI Xiao-Yu , XU Ren-Xin . Quark-clustering in cold quark matter. Chinese Physics C, 2010, 34(9): 1331-1334. doi: 10.1088/1674-1137/34/9/035
[13]	ZHONG Xian-Hui , ZHAO Qiang . K^－p scattering and hyperon excitations in a chiral quark model. Chinese Physics C, 2010, 34(9): 1428-1432. doi: 10.1088/1674-1137/34/9/062
[14]	C. Alexandrou . Baryon structure from Lattice QCD. Chinese Physics C, 2009, 33(12): 1093-1101. doi: 10.1088/1674-1137/33/12/008
[15]	HE Jun . Study of nucleon resonances in a chiral quark model via η productions. Chinese Physics C, 2009, 33(12): 1389-1392. doi: 10.1088/1674-1137/33/12/062
[16]	ZHONG Xian-Hui , ZHAO Qiang . Λ resonances studied in K^－p→Σ⁰π⁰ in a chiral quark model. Chinese Physics C, 2009, 33(12): 1373-1376. doi: 10.1088/1674-1137/33/12/058
[17]	ZHANG Ai-Lin . Light four-quark states and QCD sum rule. Chinese Physics C, 2009, 33(6): 494-496. doi: 10.1088/1674-1137/33/6/017
[18]	Yang Jianjun , Ma Boqiang , Li Guanglie . Nonperturbative Quark Propagator and Study of Nontrivial Q-Dependence in Nucleon Structure Functions. Chinese Physics C, 1997, 21(S1): 471-482.
[19]	Xu Xiaoming , Qiu Xijun . A Chiral Quark-Soliton Model Theory for Nuclear Force. Chinese Physics C, 1990, 14(S4): 381-389.
[20]	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.

Access

Get Citation

Chao Wang, Yujiang Bi, Hao Cai, Ying Chen, Ming Gong and Zhaofeng Liu. Quark chiral condensate from the overlap quark propagator[J]. Chinese Physics C, 2017, 41(5): 053102. doi: 10.1088/1674-1137/41/5/053102

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-12-21

Fund

Supported by National Natural Science Foundation of China (11575197, 11575196, 11335001, 11405178), joint funds of NSFC (U1632104, U1232109), YC and ZL acknowledge the support of NSFC and DFG (CRC110)

Article Metric

Article Views(1571)
PDF Downloads(33)
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

Quark chiral condensate from the overlap quark propagator

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Quark chiral condensate from the overlap quark propagator

Corresponding author: Chao Wang,

Corresponding author: Zhaofeng Liu,

HTML

目录