MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY

LI Wen-Zhu; ZHANG Jian-Bo; JI Da-Ren

Chinese Physics C> 1986, Vol. 10> Issue(2) : 164-169

MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY

Abstract
HTML
Reference
Related

PDF

Abstract：
We study manton's action and several other actions in lattice gauge theory with naive mean field approximation method and the method proposed by Shahbazyan. Values of β at crossover point are obtained with different kinds of SU(2) actions by using both mean field approximation method and the method proposed by Shahbazyan. While in later case, universality is assumed and the Monte Carlo results of SU(2) Wilson action and the relations between Wilson action and other actions are taken as input. The results of the two methods are compared and the universality assumption are checked.

References

[1]

K. G. Wilson, Phys. Rev., D10(1974), 2445.[2] B. Lautrup and M. Nauenberg, Phys. Rev. Lett., 45 (1980) , 1755; R. C.Edgar, L. McCrossea andK. J. M. Moriarty, J. Phys., G7(1981), L85.[3] R. Balian, J. M. Drouffe, C. Itzykson, Phys. Rev., D10(1974), 3376; D11(1975), 2089, 2104.[4] J. Greensite and B. Lautrup, Phys. Lett., 104B(1981), 41. D. Pritchard. Phys. Lett. 106B(1981),193. P. Cvitanovic, J. Greensite and B. Lautrup, Phys. Lett.,105B(1981), 197; N. D. Haridass,P. G. Lauwers, Nucl. Phys.; B210(1982), 388.[5] Zheng Xi-te, Chung-I Tan and Chen Tiara-lun, Phys. Rev., D26 (1982), 2843.[6] Yu. M. Makeenko et al., Phys. Lett., 126B(1983), 82:[7] N. S. Manton, Phys. Lett., 96B(1980), 328.[8] J. Villain, J. de Phys., 36(1975), 581.[9] 李文铸户董绍静《物理学报》,Vol. 33(1984), 1459.[10] T. V. Shahbazyan, Phys. Lett., 128B(1983), 79.[11] R. Brout, in Phase Transitions (Benjamin New York 1965).[12] S. Elitzur, Phys. Rev., D12(1975), 3978:[13] E. Brezin and J. M. Drouffe, Nucl. Phys., B200(1982), 193.[14] H.Flyvbjerg B. Lautrup and J. B. Zuber, Phys. Lett., 110B(1982), 279.[15] C. B. Lang, C. Rebbi et al., Phys. Lett., 101B(1981), 173.[16] B. Berg and J. Stehr, Z. Phys, C9(1981), 333.

[1]	SHENG Zong-Qiang , GUO Jian-You , MENG Ying . Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory. Chinese Physics C, 2007, 31(6): 558-563.
[2]	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.
[3]	Wang Jiahui . Phase Structure of Z₃ Lattice Gauge Theory Coupled With the Higgs Field. Chinese Physics C, 1999, 23(4): 352-359.
[4]	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.
[5]	Wu Jimin . A Discussion About Recent Numerical Results From the Calculation of the Glueball Masses on Lattice Gauge Theory. Chinese Physics C, 1996, 20(10): 894-899.
[6]	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.
[7]	Wang Jiahui . Phase Structure of Z₄ Lattice Gauge Theory Coupled to the Higgs Field. Chinese Physics C, 1995, 19(6): 519-526.
[8]	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.
[9]	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.
[10]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[11]	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.
[12]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[13]	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.
[14]	CHEN Hao , GUO Shuo-Hong . ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(6): 666-676.
[15]	CHEN De-Fang , SONG Yong-Shen , CHEN Tian-Lun , ZHENG Xi-Te , HE Xiang-Hao , XIAN Ding-Chang . ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1986, 10(1): 32-39.
[16]	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.
[17]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[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]	XUE She-Sheng , XIAN Ding-Chang . A LOCALLY GAUGE INVARIANT MEAN FIELD STUDY OF THE Yang-Mills-Higgs FIELD COUPLING SYSTEM ON LATTICE. Chinese Physics C, 1985, 9(2): 174-182.
[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

LI Wen-Zhu, ZHANG Jian-Bo and JI Da-Ren. MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY[J]. Chinese Physics C, 1986, 10(2): 164-169.

LI Wen-Zhu, ZHANG Jian-Bo and JI Da-Ren. MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY[J]. Chinese Physics C, 1986, 10(2): 164-169. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2271)
PDF Downloads(492)
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

MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY

Corresponding author: LI Wen-Zhu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-04-05

Abstract: We study manton's action and several other actions in lattice gauge theory with naive mean field approximation method and the method proposed by Shahbazyan. Values of β at crossover point are obtained with different kinds of SU(2) actions by using both mean field approximation method and the method proposed by Shahbazyan. While in later case, universality is assumed and the Monte Carlo results of SU(2) Wilson action and the relations between Wilson action and other actions are taken as input. The results of the two methods are compared and the universality assumption are checked.