Dreibein as Prepotential for Three-Dimensional Yang-Mills Theory

被引：0
作者：
Mitra, Indrajit [1 ]
Sharatchandra, H. S. [2 ]
机构：
[1] Univ Calcutta, Dept Phys, 92 APC Rd, Kolkata 700009, India
[2] Ctr Promot Res, 7 Shaktinagar Main Rd, Madras 600116, Tamil Nadu, India
来源：
ADVANCES IN HIGH ENERGY PHYSICS | 2017年 / 2017卷
关键词：
ABELIAN GAUGE-THEORIES; VARIABLES; FIELD; CONFINEMENT; MONOPOLES; TOPOLOGY;
D O I：
10.1155/2017/6369505
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We advocate and develop the use of the dreibein (and the metric) as prepotential for three-dimensional SO(3) Yang-Mills theory. Since the dreibein transforms homogeneously under gauge transformation, the metric is gauge invariant. For a generic gauge potential, there is a unique dreibein on fixing the boundary condition. Topologically nontrivial monopole configurations are given by conformally flat metrics, with scalar fields capturing the monopole centres. Our approach also provides an ansatz for the gauge potential covering the topological aspects.
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页数：7
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