The (1+1)-dimensional Hamiltonian lattice gauge theories and the Mcuum structure with fermions are studied analytically by using a unitary transformation and the variational method. The matching of the φφ operators in the continuum and on the lattice is discussed. The chiral symmetry is shown to be broken spontaneously. The effect of species doubling is also analyzed. Satisfactory scaling behavior for the chiral order parameter and coincidence with the continuum predictions are obtained.
Abstract
The (1+1)-dimensional Hamiltonian lattice gauge theories and the Mcuum structure with fermions are studied analytically by using a unitary transformation and the variational method. The matching of the φφ operators in the continuum and on the lattice is discussed. The chiral symmetry is shown to be broken spontaneously. The effect of species doubling is also analyzed. Satisfactory scaling behavior for the chiral order parameter and coincidence with the continuum predictions are obtained.
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参考文献
[1] W. Marciano and H. Pagels, Phys. Rep. 36C(1978)137; and references therein.
[2] Q.Z. Chen and X.Q. Luo, Phys. Rev. D43(1990)1293.
[3] X.Q. Luo and Q.Z. Chen, J. Phys. G16(1990)1181.
[4] X.Q. Luo, B.P. He, Q.Z. Chen and S.H. Guo, Z. Phys. C51(1991)423.
[5] Q.Z. Chen, W.H. Zheng, X.Q. Luo and X.Y. Fang, High Energy Phys. Nucl. Phys. 16(1991)23.
[6] X.Q. Luo, Q.Z. Chen and S.H. Guo, High Energy Phya. Nucl. Phys. 13(1989)328.
[7] Q.Z. Chen, X.Q. Luo and S.H. Guo, Acta Sci. Nat. Univ. Sunyatseni 28(1989)96.
[8] X.Q. Luo, Q.Z. Chen and S.H. Guo, Z. Phys. C47(1990)635.
[9] X.Q. Luo and Q.Z. Chen, UCSB preprint NSF-ITP-90-212 (to be published).
[10] Q.Z. Chen, X.Y. Fang, G.C. Xu, J.M. Liu and X.Q. Luo, High Energy Phya. Nucl. Phys. 16(1991)518.
[11] X.Y. Fang, X.Q. Luo, G.C. Xu and Q.Z. Chen, J. Phys. G (to be published).
[12] X.Q. Luo, Z. Phys. C48(1990)283.
[13] J. Kogut, Rev. Mod. Phys. 56(1983)775.
[14] C. Hamer, J. Kogut, D. Crewther and M. Mazzolini, Nucl. Phys. B208(1982)413.
[15] T. Grandou, H.T. Cho and H.M. Fried, Phys. Rev. D37(1988)946.
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脚注
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基金
The project supported in part by the U.S. National Science Foundation under Grant No. PHY89-04035.
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