Dynamical Symmetry Breaking in Einstein Universe

Details Dynamical Symmetry Breaking in Einstein Universe Dynamical Symmetry Breaking in Einstein Universe

1995-12-28

arxiv.org/abs/hep-th/9512202v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, uses LaTeX, here.sty, epic.sty, eepic.sty

Scientific paper

We investigate four-fermion interactions with $N$-component fermion in Einstein universe for arbitrary space-time dimensions ($2 \leq D<4$). It is found that the effective potential for composite operator $\overline{\psi}\psi$ is calculable in the leading order of the $1/N$ expansion. The resulting effective potential is analyzed by varying the curvature of the space-time and is found to exhibit the symmetry restoration through the second-order phase transition. The critical curvature at which the dynamical fermion mass disappears is analytically calculated.

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