Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-16
Nucl.Phys. B494 (1997) 365-387
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, LaTeX, two .eps figures
Scientific paper
10.1016/S0550-3213(97)00155-7
The large N limit of the 3-d Gross-Neveu model is here studied on manifolds with positive and negative constant curvature. Using the $\zeta$-function regularization we analyze the critical properties of this model on the spaces $S^2 \times S^1$ and $H^2\times S^1$. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit $S^1\to R$, which is interpreted as the zero temperature limit, is also studied.
Miele Gennaro
Vitale Patrizia
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