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IHEP 97 - 71
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| Dae Kwan Kim ( ETRI, Korea )and K.G. Klimenko | ||
| Finite Density Effect in the Gross-Neveu Model on a Weakly Curved Surfaces | ||
| Protvino, 1997.- p.11, figs. 3, refs.:25. | ||
The three-dimensional Gross-Neveu model in $R^{1} \times M^{2}$ spacetime, where $M^2$ is a weakly curved two dimensional surface, is investigated, using an effective potential at a finite curvature R and nonzero chemical potential mu. The critical values of (R, mu) are derived, such that a system undergoes the first order phase transition from the phase with broken chiral invariance to the symmetric phase. The fermion density is found to be of nonanalytic behaviour at the critical value of the chemical potential.
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