TRANSVERSE LATTICE CONSTRUCTION OF 2+1 CHERN-SIMONS THEORY

被引:8
作者
GRIFFIN, PA
机构
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D O I
10.1142/S0217732392000574
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A transverse lattice model, with one lattice dimension and two continuum dimensions, is constructed by introducing Wess-Zumino terms into the gauged (1 + 1)-dimensional nonlinear sigma model action of the link fields. Its continuum limit is the pure Chern-Simons gauge theory in 2 + 1 dimensions. The lattice model is quantized, and some simple expectation values for Wilson loops on M2 x S1 are evaluated. This construction provides an explicit connection between Chem-Simons theory and the gauged Wess-Zumino-Witten model.
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页码:601 / 610
页数:10
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