DUAL OF 3-DIMENSIONAL PURE SU(2) LATTICE GAUGE-THEORY AND THE PONZANO-REGGE MODEL

被引：29

作者：

ANISHETTY, R ^{[1
]}

CHELUVARAJA, S ^{[1
]}

SHARATCHANDRA, HS ^{[1
]}

MATHUR, M ^{[1
]}

机构：

[1] SATYENDRA NATH BOSE NATL CTR BASIC SCI,CALCUTTA 700064,INDIA

来源：

PHYSICS LETTERS B | 1993年 / 314卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(93)91254-K

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

By carrying out a character expansion and integration over all link variables, the partition function of 3-dimensional pure SU(2) lattice gauge theory is rewritten in terms of 6j symbols. The result is the Ponzano-Regge model of 3-dimensional gravity with a term that explicitly breaks general coordinate invariance. Conversely, we show that the dual of the Ponzano-Regge model is an SU(2) lattice gauge theory where all plaquette variables are constrained to the identity matrix and therefore the model needs no further regularization. Our techniques are applicable to other models with non-abelian symmetries in any dimension and provide a duality transform for the partition function.

引用

页码：387 / 390

页数：4

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