Topology and Inequivalent Quantizations of Abelian Sigma Model
High Energy Physics - Theory
2016-09-06 v1
Abstract
The abelian sigma model in (1+1) dimensions is a field theoretical model which has a field . An algebra of the quantum field is defined respecting the topological aspect of the model. It is shown that the zero-mode has an infinite number of inequivalent quantizations. It is also shown that when a central extension is introduced into the algebra, the winding operator and the momenta operators satisfy anomalous commutators.
Keywords
Cite
@article{arxiv.hep-th/9502159,
title = {Topology and Inequivalent Quantizations of Abelian Sigma Model},
author = {Shogo Tanimura},
journal= {arXiv preprint arXiv:hep-th/9502159},
year = {2016}
}
Comments
4 pages, Latex (proceedings of Second Pasific Winter School for Theoretical Physics held at Sorak Mountain in Korea in January 1995)