Large-N quantum gauge theories in two dimensions
High Energy Physics - Theory
2009-10-22 v2 High Energy Physics - Lattice
Abstract
The partition function of a two-dimensional quantum gauge theory in the large- limit is expressed as the functional integral over some scalar field. The large- saddle point equation is presented and solved. The free energy is calculated as the function of the area and of the Euler characteristic. There is no non-trivial saddle point at genus . The existence of a non-trivial saddle point is closely related to the weak coupling behavior of the theory. Possible applications of the method to higher dimensions are briefly discussed.
Cite
@article{arxiv.hep-th/9212090,
title = {Large-N quantum gauge theories in two dimensions},
author = {B. Rusakov},
journal= {arXiv preprint arXiv:hep-th/9212090},
year = {2009}
}
Comments
6pp., Latex, TAUP-2012-92 (revised: few changes, some references added)