MONOPOLES IN THE PLAQUETTE FORMULATION OF THE 3D SU(2) LATTICE GAUGE THEORY

被引：0
作者：
Borisenko, O. [1 ]
Voloshyn, S. [1 ]
Bohacik, J. [2 ]
机构：
[1] Natl Acad Sci Ukraine, NN Bogoliubov Inst Theoret Phys, UA-03143 Kiev, Ukraine
[2] Slovak Acad Sci, Inst Phys, Bratislava 84511, Slovakia
来源：
MODERN PHYSICS LETTERS A | 2011年 / 26卷 / 25期
关键词：
Lattice gauge theory; plaquette representation; monopoles; confinement mechanism; FIELD-STRENGTH FORMULATION; CONFINEMENT;
D O I：
10.1142/S0217732311036267
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Using a plaquette formulation for lattice gauge models we describe monopoles of the three-dimensional SU(2) theory which appear as configurations in the complete axial gauge and violate the continuum Bianchi identity. Furthermore, we derive a dual formulation for the Wilson loop in arbitrary representation and calculate the form of the interaction between generated electric flux and monopoles in the region of a weak coupling relevant for the continuum limit. The effective theory which controls the interaction is of the sine-Cordon type model. The string tension is calculated within the semiclassical approximation.
引用
收藏
页码：1853 / 1867
页数：15
相关论文
共 14 条
  • [1] Ambjorn J, 1998, J HIGH ENERGY PHYS
  • [2] [Anonymous], 1987, CONT CONCEPTS PHYS
  • [3] PHASE-TRANSITIONS IN ABELIAN LATTICE GAUGE THEORIES
    BANKS, T
    MYERSON, R
    KOGUT, J
    [J]. NUCLEAR PHYSICS B, 1977, 129 (03) : 493 - 510
  • [4] BATROUNI GG, 1982, NUCL PHYS B, V208, P467, DOI 10.1016/0550-3213(82)90231-0
  • [5] Field strength formulation, lattice Bianchi identities and perturbation theory for non-Abelian models
    Borisenko, O.
    Voloshin, S.
    Faber, M.
    [J]. NUCLEAR PHYSICS B, 2009, 816 (03) : 399 - 426
  • [6] Low-temperature expansion and perturbation theory in 2D models with unbroken symmetry: A new approach
    Borisenko, O
    Kushnir, V
    Velytsky, A
    [J]. PHYSICAL REVIEW D, 2000, 62 (02) : 1 - 11
  • [7] BORISENKO O, 2002, P NATO WORKSH CONF T, P33
  • [8] CONRADY F, ARXIVHEPTH0610238
  • [9] QCD MONOPOLES ON THE LATTICE AND GAUGE INVARIANCE
    Di Giacomo, Adriano
    [J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2010, 207-08 : 337 - 340
  • [10] GOPFERT M, 1982, COMMUN MATH PHYS, V82, P545, DOI 10.1007/BF01961240
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