A Soluble Model of Four-Fermion Interactions in de Sitter Space

Details A Soluble Model of Four-Fermion Interactions in de Sitter Space A Soluble Model of Four-Fermion Interactions in de Sitter Space

1995-05-10

arxiv.org/abs/hep-th/9505058v2

Phys.Rev.D52:4267-4271,1995

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, uses LaTeX, here.sty(attached), eepic.sty

Scientific paper

10.1103/PhysRevD.52.R4267

We consider the theory of four-fermion interactions with N-component fermions in de Sitter space. It is found that the effective potential for a composite operator in the theory is calculable in the leading order of the 1/N expansion. The resulting effective potential is analyzed by varying both the four-fermion coupling constant and the curvature of the space-time. The critical curvature at which the dynamically generated fermion mass disappears is found to exist and is calculated analytically. The dynamical fermion mass is expressed as a function of the space-time curvature.

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