Three Dimensional Gross-Neveu Model on Curved Spaces

Abstract

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.

24 pages, LaTeX, two .eps figures

Cited by in corpus (17)

• Periodic boundary conditions on the pseudosphere
• Spin connection and boundary states in a topological insulator
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• A curvature bound from gravitational catalysis
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Thermodynamic Gross-Neveu model under constant electromagnetic field
• Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature
• Gravitational instantons and anomalous chiral symmetry breaking
• A curvature bound from gravitational catalysis in thermal backgrounds
• Temperature induced phase transitions in four fermion models in curved space-time
• On the Free-Energy of Three-Dimensional CFTs and Polylogarithms
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Finite Density Effect in the Gross-Neveu Model in a Weakly Curved $R^1\times S^2$ Spacetime
• Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
• Dynamical symmetry breaking in the Nambu-Jona-Lasino model with external gravitational and constant electric fields
• A Monte Carlo Approach to the Worldline Formalism in Curved Space
• Fate of chiral symmetry in Riemann-Cartan geometry