Phase Structure of <EM>U</EM>(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying; Wu Jimin

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> 1996, Vol. 20> Issue(2) : 124-130

Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying ^, ,
Wu Jimin

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039

Abstract
HTML
Reference
Related

PDF

Abstract：
The average plaquette energy E_p of U(1) Lattice gauge theory in 3 dimensions with an independent plaquette effective action is calculated using the variational cumulant expansion.The E-β curve is continuous,which shows that U(1) theory has only one confine phase.Our result is consistent with Monte Carlo data.

References

[1]

W.Kerler,Phys.Rev.Lett.,60（1988）1906;Phys.Rev.,D40（1989）2085;X.T.Zheng,G.Chen,Commun.Ther.Phys,20（1993）95.[2]C.M.Wu,High Ener.Phys.Nucl.Phys.,13（1989）789.[3]G.G.Batrouni,Nucl.Phys.,B208（1982）467.[4]D.Gong,J.M.Lin,Commun.Theor.Phys.,19（1993）225;HighEner.Phys.Nucl.Phys.,17（1993）128.[5]C.M.Wu,Z.K.Zhu,P.Y.Zhao et al.,Phys.Lett.,216B（1989）381.[6]G.Bhanat,M.Crentz,Phys.Rev.,D21（1980）2892.[7]P.Y.Zhao,Commun.Theor.Phys.,6(1986)277;J.M.Wu,P.Y.Zhao,High Ener.Phys.Nucl.Phys.,10（1986）297.

[1]	JIANG Jun-Qin . Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[2]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[3]	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.
[4]	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.
[5]	Jiang Junqin . Variational Study of<ΨΨ> in 1+1 Dimensional Lattice QCD. Chinese Physics C, 1999, 23(4): 347-351.
[6]	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.
[7]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[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]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[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 Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[13]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[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]	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.
[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]	GUO Shuo-Hong , CHEN Hao . EXACT RESULTS FOR THE TOPOLOGICAL CHARGE OF 1+1D LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(6): 844-848.
[18]	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.
[19]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[20]	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.

Access

Get Citation

Zhao Peiying and Wu Jimin. Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(2): 124-130.

Zhao Peiying and Wu Jimin. Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action[J]. Chinese Physics C, 1996, 20(2): 124-130. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2739)
PDF Downloads(597)
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

Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action

Zhao Peiying ^,
Wu Jimin

Corresponding author: Zhao Peiying,

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-02-05

Abstract: The average plaquette energy E_p of U(1) Lattice gauge theory in 3 dimensions with an independent plaquette effective action is calculated using the variational cumulant expansion.The E-β curve is continuous,which shows that U(1) theory has only one confine phase.Our result is consistent with Monte Carlo data.