A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON H&Ouml;LDER INTEGRAL INEQUALITY

HE Xiang-Hao; XIAN Ding-Chang; SONG Yong-Shen

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(5) : 629-634

A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY

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Abstract：
A variational method based on Hölder integral inequality is presented. Taking the parameters in integral inequality as variational parameters, we can calculate the free energy in lattice gauge system. The plaquatte energy of Z₂ 、U(1)、 SU(2) gauge system is found and consistent with that given by Monte Carlo method. But, the higher phase transitions for U(1), SU(2) gauge systems are not found.

References

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J. M. Drouffe, Phys. Rep., 102 (1983), 1-119.[2] J. B. Kogut, Rev. Mod. Phys., 51(1979), 659.J. B. Kogut, Rev. Mod. Phys., 55(1953), 775.[3] T. L. Chen, C. I. Tan and X. T. Zheng, Phys. Rev., D26 (1983), 2843.[4] C. H. Hardy, J. E. Littlewood and G. Polya "Inequalities" Cambridge University Press (1952).[5] M. Creutz, L. Jacob and C. Rebbi, Phys. Rep 95 (1983), 201.[6] X. H. He, T. C. Hsien and Y. X. Song, Phys. Letts., 153B(1985), 41.

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HE Xiang-Hao, XIAN Ding-Chang and SONG Yong-Shen. A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY[J]. Chinese Physics C, 1985, 9(5): 629-634.

HE Xiang-Hao, XIAN Ding-Chang and SONG Yong-Shen. A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY[J]. Chinese Physics C, 1985, 9(5): 629-634. 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

A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY

Corresponding author: HE Xiang-Hao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-10-05

Abstract: A variational method based on Hölder integral inequality is presented. Taking the parameters in integral inequality as variational parameters, we can calculate the free energy in lattice gauge system. The plaquatte energy of Z₂ 、U(1)、 SU(2) gauge system is found and consistent with that given by Monte Carlo method. But, the higher phase transitions for U(1), SU(2) gauge systems are not found.