CURVATURE INDUCED DYNAMICAL SYMMETRY RESTORATION IN EINSTEIN UNIVERSE(R-CIRCLE-TIMES-S-D-1)

As a prototype of composite Higgs models four-fermion interaction mode ls with N-component fermion are investigated in Einstein universe keep ing spacetime dimensions for 2 less than or equal to D < 4. It is foun d that the effective potential for composite operator <(psi)over bar p si> is calculable in the leading order of the 1/N expansion. The resul ting effective potential is analyzed by varying the curvature of space time and is found to exhibit the symmetry restoration through the seco nd-order phase transition. The critical curvature at which the dynamic al fermion mass disappears is analytically calculated.