Chinese Physics C > 1989, Vol. 13 > Issue(1): 29-34

A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD

BIAN Jian-Guo^,

Heilongjiang University,Harbin

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Abstract：
We present a real-space renormalization-group analysis for Z ₂lattice gauge theory coupled to a Higgs field in four dimension,the results show a phase diagram in which the Higgs and confined region are smoothly connected.

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[1]

A. A. Migdal, JETP (Sov. Phys.) 42(1976), 413; 42(1976), 743, L. P. Kadanoff, Ann. of Phys., 100(1976). 359.[2] G. Martinelli and G. Parisi, Nucl. Phys . , B180(FS2)(1981). 201.S. Caracciolo and P. Menotti, Nucl. Phys., B180(FS2) (1981), 428.[3] L. Kadanoff, Rev. Mod. Phys., 49(1977), 267.[4] S. Caracciolo and P. Menotti, Ann. of Phys., 122(1979), 74.[5] T. Matsui, Nucl. Phys., B136(1978). 277.[6] E. Fradkin and S. Shenker, Phys . Rev., 19D(1979), 3682.[7] M. Creutz, Phys. Rev., 21D(1980), 1006.G. A. Jongeward, J. D. Stack, and C. Jayaprakasl, Phys . Rev, 21D(1980). 3360[8] J. L. Banks and D. K. Sinclair, Phys . Rev., 23D(1981), 2962.[9] R. Balian, J. M. Drouffe, and C. Itzykson, Phys. Rev,11D(1975), 2104.E. Brezin and J. M. Droufle, Nucl. Phys., B200(FS4) (1982), 93.

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BIAN Jian-Guo. A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z ₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD[J]. Chinese Physics C, 1989, 13(1): 29-34.

BIAN Jian-Guo. A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z ₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD[J]. Chinese Physics C, 1989, 13(1): 29-34. 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 REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD

BIAN Jian-Guo^,

Corresponding author:BIAN Jian-Guo,

Heilongjiang University,Harbin

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1989-01-05

Abstract:We present a real-space renormalization-group analysis for Z₂lattice gauge theory coupled to a Higgs field in four dimension,the results show a phase diagram in which the Higgs and confined region are smoothly connected.