MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY

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

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2024年10月30日

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

MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY

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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

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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.

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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

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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

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.