Renormalization of the Nonlinear O(3) Model with Theta-Term
High Energy Physics - Theory
2013-03-12 v2
Abstract
The renormalization of the topological term in the two-dimensional nonlinear O(3) model is studied by means of the Functional Renormalization Group. By considering the topological charge as a limit of a more general operator, it is shown that a finite multiplicative renormalization occurs in the extreme infrared. In order to compute the effects of the zero modes, a specific representation of the Clifford algebra is developed which allows to reformulate the bosonic problem in terms of Dirac operators and to employ the index theorem.
Keywords
Cite
@article{arxiv.1208.5948,
title = {Renormalization of the Nonlinear O(3) Model with Theta-Term},
author = {Raphael Flore},
journal= {arXiv preprint arXiv:1208.5948},
year = {2013}
}
Comments
15 pages, enlarged discussion and minor additional comments, matches published version