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

JIANG Jun-Qin

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
[2]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[3]	HUI Ping , ZHENG Tai-Yu , WANG Zhou-Fei . Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method. Chinese Physics C, 2004, 28(6): 580-583.
[4]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[5]	HUI Ping . Sixth Order Approximation of the Glueball Wave Function in 2+1-DSU(2)LGT. Chinese Physics C, 2000, 24(7): 636-641.
[6]	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.
[7]	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.
[8]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[9]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[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]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[12]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[13]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[14]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[15]	LUO Xiang-Qian , HE Bao-Peng , CHEN Qi-Zhou , LI Zhi-Bing , GUO Shuo-Hong . ΔI=1/2 RULE IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(4): 477-483.
[16]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[17]	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.
[18]	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.
[19]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.
[20]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.

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(1368)
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