Threedimensional GrossNeveu model on curved spaces
Abstract
The large N limit of the 3D GrossNeveu model is here studied on manifolds with positive and negative constant curvature. Using the ζfunction regularization we analyze the critical properties of this model on the spaces S^{2} × S^{1} and H^{2} × S^{1}. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit S ^{1} → R, which is interpreted as the zero temperature limit, is also studied.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)001557
 arXiv:
 arXiv:hepth/9612168
 Bibcode:
 1997NuPhB.494..365M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, LaTeX, two .eps figures