Quark Condensate in Two-Dimensional SU(N<SUB>C</SUB>) Lattice Gauge Theory with Massive Wilson Quarks

JIANG Jun-Qin

Chinese Physics C> 2007, Vol. 31> Issue(1) : 19-22

Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

JIANG Jun-Qin ^,

Department of Physics，Guangdong Institute of Education, Guangzhou 510303, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the improved lattice Hamiltonian with massive Wilson quark and the variational method, we study the quark mass m_q and the Wilson parameter r dependences of the quark condensate 〈ψψ〉in the two-dimensional SU(N_C) lattice gauge theory. The numerical results show that when r is given, for N_C=2,3,4,5,6,7, the value of 〈ψψ〉_suba/(gN_C^3/2) decreases as m_q increases. For N_C>3, when m_q is small, 〈ψψ〉_suba/(gN_C^3/2) is almost independent of r; when m_q is large, 〈ψψ〉_suba/(gN_C^3/2)increases with increasing r. Particularly, when m_q→0, our numerical results agree very well with Zhitnitsky's analytical weak coupling result in the continuum, which implys that our numerical results in the case of m_q≠0 are reliable.

References

[1]

. JIANG Jun-Qin, LUO Xiang-Qian et al. Phys. Rev., 1999,D60: 0145012. JIANG Jun-Qin, LUO Xiang-Qian, GUO Shuo-Hong et al.HEP NP, 1999, 23(12): 1152(in Chinese)(江俊勤, 罗向前, 郭硕鸿等. 高能物理与核物理, 1999, 23(12):1152)3. JIANG Jun-Qin, LI Jie-Ming. HEP NP, 2001, 25(7):617(in Chinese)(江俊勤, 李洁明. 高能物理与核物理, 2001, 25(7): 617);JIANG Jun-Qin. HEP NP, 2005, 29(2): 115(in Chinese)(江俊勤. 高能物理与核物理, 2005, 29(2):115)4. JIANG Jun-Qin, LI Jie-Ming. Phys. Rev., 2003, D68:0945025. 't Hooft G. Nucl. Phys., 1974, B72: 4616. Steinhardt P J. Nucl. Phys., 1980, B176: 1007. Bhattacharya G. Nucl. Phys., 1982, B205: 4618. Zhitnitsky A R. Phys. Lett., 1985, B165: 4059. LUO Xiang-Qian, CHEN Qi-Zhou. HEP NP, 1992,16(8): 676(in Chinese)(罗向前, 陈启洲. 高能物理与核物理, 1992, 16(8): 676)

[1]	Abdel Magied DIAB . Charmed Meson Structure across Crossover from SU(4) Polyakov Quark Meson Model with Isospin Asymmetry. Chinese Physics C, 2026, 50(1): 1-19.
[2]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[3]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[4]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[5]	Che-Hao Liu , Van Que Tran , Qiaoyi Wen , Fanrong Xu , Tzu-Chiang Yuan . New contributions to b → sγ in the minimal G2HDM. Chinese Physics C, 2025, 49(8): 083107. doi: 10.1088/1674-1137/add873
[6]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[7]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[8]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[9]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[10]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[11]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[12]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[13]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

JIANG Jun-Qin. Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks[J]. Chinese Physics C, 2007, 31(1): 19-22.

JIANG Jun-Qin. Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks[J]. Chinese Physics C, 2007, 31(1): 19-22. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-03-24
Revised: 2006-07-02

Article Metric

Article Views(2120)
PDF Downloads(774)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

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 Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

JIANG Jun-Qin ^,

Corresponding author: JIANG Jun-Qin,

Department of Physics，Guangdong Institute of Education, Guangzhou 510303, China

Received Date: 2006-03-24
Accepted Date: 2006-07-02
Available Online: 2007-01-05

Abstract: Using the improved lattice Hamiltonian with massive Wilson quark and the variational method, we study the quark mass m_q and the Wilson parameter r dependences of the quark condensate 〈ψψ〉in the two-dimensional SU(N_C) lattice gauge theory. The numerical results show that when r is given, for N_C=2,3,4,5,6,7, the value of 〈ψψ〉_suba/(gN_C^3/2) decreases as m_q increases. For N_C>3, when m_q is small, 〈ψψ〉_suba/(gN_C^3/2) is almost independent of r; when m_q is large, 〈ψψ〉_suba/(gN_C^3/2)increases with increasing r. Particularly, when m_q→0, our numerical results agree very well with Zhitnitsky's analytical weak coupling result in the continuum, which implys that our numerical results in the case of m_q≠0 are reliable.

HTML

Reference (1)

Link: IOPScience; SCOAP³; arXiv; Chinese Physical Society

Journal information: Introduction; Editorial Board; Others; Subscribe

Contact us: QQ: 1307685413; Tel: +86-010-88235947; Fax: +86-010-88233126; E-mail: cpc@ihep.ac.cn

CPC Website
IOP Website
CPC WeChat

Supported by: Beijing Renhe Information Technology Co. Ltd E-mail: info@rhhz.net

DownLoad: Full-Size Img PowerPoint

Return

Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

Corresponding author: JIANG Jun-Qin,

HTML

目录

Quark Condensate in Two-Dimensional SU(NC) Lattice Gauge Theory with Massive Wilson Quarks

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Quark Condensate in Two-Dimensional SU(NC) Lattice Gauge Theory with Massive Wilson Quarks

Corresponding author: JIANG Jun-Qin,

HTML

目录

Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks

Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks