Curvature-induced phase transitions in the inflationary universe : Supersymmetric Nambu–Jona-Lasinio model in de Sitter spacetime

The phase structure associated with chiral symmetry is thoroughly investigated in de Sitter spacetime in the supersymmetric Nambu‐Jona-Lasinio model with supersymmetry breaking terms. The argument is given in the three and four space-time dimensions in the leading order of the 1/N expansion and it is shown that the phase characteristics of the chiral symmetry is determined by the curvature of de Sitter spacetime. It is found that the symmetry breaking takes place as the first order as well as second order phase transition depending on the choice of the coupling constant and the parameter associated with the supersymmetry breaking term. The critical curves expressing the phase boundary are obtained. We also discuss the model in the context of the chaotic inflation scenario where topological defects ~cosmic strings! develop during inflation.