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

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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

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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

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

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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.