Effective potential for the four-fermion interaction in topologically non-trivial spaces

We consider the influence of the space-time topology on the formation of a fermion condensate in a theory with a four-fermion interaction. We study the dependence of the behavior of the effective potential on the magnitude of the fermion condensate ¯ and find the dependence of the magnitude ¯ on the periodicity length of the wave functions in space-time with the topology R₁ × R₁ × S₁.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 5–8, March, 1988.