Variational Study of &lt;ψψ&gt; in the Lattice Schwinger Model

CHEN Qi-Zhou; ZHENG Wei-Hong; LUO Xiang-Qian; FANG Xi-Yan

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(1) : 23-28

Variational Study of <ψψ> in the Lattice Schwinger Model

Department of Physics Zhongshan University,Guangzhou 510275

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Abstract：
We used the variational method in lattice gauge theory to calculate the fermion condensate <ψ,ψ> of the naive fermions in the Schwinger model,and obtained a nice scaling behavior.

References

[1]

M.Gell-mann and F. E. Low,Phys. Rev., 95(1954), 1300.[2] L.Landau, in Niels Bohr and the Development of Physics, edited by W. Pauli (Pergamon, London,1955).[3] S. L. Adler, Phyr. Rev., DS(1972), 3021; V. A. Miransky, Nuovo Cimento, 90A(1985), 149; R. D. Peccei, J. Sala, C. Wettesich, Phyr. Rev., D37(1988), 2492 D. G. Caldi, Phys. Lett., 215B(1988), 739; Y. Jack Ng, Phys. Rev, D36(1987), 2880.[4] E. Dagotto and H. W. Wyld, Phys. Lett., 205B(1988), 73;T. B. Kogut and E. Dagotto, Phy. Rev. Lett., 59(1987), 617;J. B. Kogut and E. Dagotto, Phys. Rev. Lett., 60(1988), 772;E. Dagotto and J. B. Kogut, Nucl. Phys., B295(1988), 123.[5] J. Schwinger, Phys. Rev., 128(1962), 2425.[6] C. J. Hamer, J. Kogut, D. F. Crewther and M. M. Maezolini, Nucl. Phys., B208(1982), 413, and refe-rerAces therein.[7] X. Q. Luo and Q. Z. Chen, to be published in J. Phys. G.[8] S. H. Guo, Q. Z. Chen, J. M. Liu and L. Hu, Commurt. Theor. Phys., 3(1984), 481.[9] Q. Z. Chen and X. Q. Luo, to be published in Phys. Rev. D.[10] 罗向前、陈启洲、郭硕鸿，高能物理与核物理，13(1989)，328,[11] 陈启洲、罗向前、郭硕鸿，中山大学学报(自然科学版)28(1989)，96,[12] X. Q. Luo, Q. Z. Chen and S. H. Guo, to be published in Z. Phys. C.

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CHEN Qi-Zhou, ZHENG Wei-Hong, LUO Xiang-Qian and FANG Xi-Yan. Variational Study of <ψψ> in the Lattice Schwinger Model[J]. Chinese Physics C, 1991, 15(1): 23-28.

CHEN Qi-Zhou, ZHENG Wei-Hong, LUO Xiang-Qian and FANG Xi-Yan. Variational Study of <ψψ> in the Lattice Schwinger Model[J]. Chinese Physics C, 1991, 15(1): 23-28. 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

Variational Study of <ψψ> in the Lattice Schwinger Model

Corresponding author: CHEN Qi-Zhou,

Department of Physics Zhongshan University,Guangzhou 510275

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-01-05

Abstract: We used the variational method in lattice gauge theory to calculate the fermion condensate <ψ,ψ> of the naive fermions in the Schwinger model,and obtained a nice scaling behavior.