TOPOLOGY AND QUANTIZATION OF ABELIAN SIGMA-MODEL IN (1+1) DIMENSIONS

被引：4

作者：

TANIMURA, S

机构：

[1] Department of Physics, Nagoya University, Nagoya

来源：

PHYSICS LETTERS B | 1994年 / 340卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(94)91297-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The abelian sigma model in (1 + 1) dimensions has a manifold-valued field phi: S-1 --> S-1. An algebra of the quantum field is defined respecting the topological aspect of the model. It is shown that when a central extension is introduced into the algebra, the winding operator and the momenta operators satisfy anomalous commutators. We obtain an infinite number of inequivalent Hilbert spaces, which are characterized by a central extension and a continuous parameter alpha (0 less than or equal to alpha less than or equal to 1).

引用

页码：57 / 62

页数：6