Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action

Ren Xuezao; Zhu Yunlun; Chen Ying

Chinese Physics C> 1998, Vol. 22> Issue(6) : 492-498

Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action

Department of Physics, Peking University. Beijing, 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
The lattice U(1) and U(1) -Higgs models with Symanzik action are analytically studied at finite temperature using variational cumulant expansion (VCE). The Polyakov lines and the critical index β are calculated. The results show that VCE of system with Symanzik action converges more rapidly than that of Wilson action.

References

[1]

Wilson K G. Phys. Rev，1974, D10:2445 [2] Manton N S. Phys. Leet, 1980, B96:328 [3] Villain J. J. Phys. (Paris), 1975, 36:581 [4] Symanzik K. Nucl. Phys., 1983, B226:187 [5] Chen T L,Suo C C. High Energy Physics and Nuclear Physics (in hinese), 1986, 10:158(陈天青，索存川.高能物理与核物理，1986, 10:158) [6] Li W Z, Zhang J B. High Energy Physics and Nuclear Physics (in Chinese), 1988, 12:608(李文铸，张剑波.高能物理与核物理，1988, 12:608) [7] Curd G, Tripiccione R Phys. Lett., 1985, B151:145 Cella G, C}rci G et al. Phys. Rev., 1984, D49:499 [8] Tan C I, Zheng X T. Phys. Rev., 1989)-989)-989)D39}623 [9] Kerler W. Phys. Rev. Lett., 1988, 60:1906 [10] Zheng X T, He Y, Lu Z. Commun. Theor. Phys., 1994, 22:199 [11] Billic N, Gansterer城Sanielevici S. Phys. Lett., 1987, B198:35 [12] Huang L X, Chen T L,iu Y Y. Phys. Lett., 1996, B3'70:123 [13] Ren X Z Chen Y, Zhu Y L. High Energy Physics and Nuclear Physics (in Chinese), 1998, 4:315(任学藻，陈莹，朱允伦.高能物理与核物理.1998, 4.3151

[1]	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.
[2]	Jiang Junqin . Variational Study of<ΨΨ> in 1+1 Dimensional Lattice QCD. Chinese Physics C, 1999, 23(4): 347-351.
[3]	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.
[4]	Ren Xuezao , Chen Ying , Zhu Yunlun . Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[5]	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.
[6]	Zhao Peiying , Wu Jimin . Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[7]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[8]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[9]	Li Yuxiao , Shi Wanzhong , Liu Li . Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model. Chinese Physics C, 1994, 18(11): 1003-1011.
[10]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[11]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[12]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[13]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[14]	ZHENG Xi-Te , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[15]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[16]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[17]	ZHENG Xi-Te , LIU Bei-Shu . ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[18]	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.
[19]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[20]	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.

Access

Get Citation

Ren Xuezao, Zhu Yunlun and Chen Ying. Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action[J]. Chinese Physics C, 1998, 22(6): 492-498.

Ren Xuezao, Zhu Yunlun and Chen Ying. Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action[J]. Chinese Physics C, 1998, 22(6): 492-498. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2364)
PDF Downloads(464)
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

Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action

Corresponding author: Ren Xuezao,

Department of Physics, Peking University. Beijing, 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-06-05

Abstract: The lattice U(1) and U(1) -Higgs models with Symanzik action are analytically studied at finite temperature using variational cumulant expansion (VCE). The Polyakov lines and the critical index β are calculated. The results show that VCE of system with Symanzik action converges more rapidly than that of Wilson action.