Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin<SUP></SUP>

doi:10.1088/1674-1137/32/1/002

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> 2008, Vol. 32> Issue(1) : 9-12 DOI: 10.1088/1674-1137/32/1/002

Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2，3，4，5，6，7，…，in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ，our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model．

References

[1]

. LUO Xiang-Qian, CHEN Qi-Zhou, XU Guo-Cai et al.Phys. Rev., 1994, D50: 501; JIANG Jun-Qin, LUO Xiang-Qian et al. Phys. Rev., 1999, D60: 0145012. LUO X Q, GUO S H, Krger H et al. Phys. Rev., 1999,D59: 0345033. JIANG Jun-Qin, LUO Xiang-Qian, GUO Shuo-Hong et al.HEP NP, 1999, 23(12): 1152 (in Chinese)4. JIANG Jun-Qin, LI Jie-Ming. HEP NP, 2001, 25(7): 617(in Chinese)5. JIANG Jun-Qin, LI Jie-Ming. Phys. Rev., 2003, D68:0945026. 't Hooft G. Nucl. Phys., 1974, B72: 4617. Steinhardt P J. Nucl. Phys., 1980, B176: 1008. Bhattacharya G. Nucl. Phys., 1982, B205: 4619. Zhitnitsky A R. Phys. Lett., 1985, B165: 40510. Grandou T, Cho H T, Fried H M. Phys. Rev., 1988, D37:94611. Hamer C J. Nucl. Phys., 1980, B195: 50312. JIANG Jun-Qin. HEP NP, 2007, 31(1): 19 (in Chinese)13. Banks T, Kogut J, Susskind L. Phys. Rev., 1976, D13:1043

[1]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[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]	HU Lian , HUI Ping , CHEN Qi-Zhou . Glueball Masses of the 0⁺⁺ and 0^－－ in 3+1-D SU(3) LGT. Chinese Physics C, 2002, 26(8): 773-778.
[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]	LI JieMing , JIANG JunQin . Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[8]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[9]	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.
[10]	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.
[11]	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.
[12]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[13]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[14]	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.
[15]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[16]	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.
[17]	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.
[18]	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.
[19]	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.
[20]	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.

Access

Get Citation

JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002

JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-02-06
Revised: 2007-05-30

Article Metric

Article Views(2848)
PDF Downloads(603)
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

Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

JIANG Jun-Qin

广东教育学院物理系

Received Date: 2007-02-06
Accepted Date: 2007-05-30
Available Online: 2008-01-05

Abstract: Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2，3，4，5，6，7，…，in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ，our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model．