Perturbation theory at large orders for a potential with degenerate minima

Abstract

Perturbation theory at large orders for a potential with degenerate minima differs from other cases discussed in previous works. The pseudoparticle which interpolates between the two classical minima does not correspond to a periodic path, and one has to consider here pseudoparticle-antipseudoparticle configurations. As expected, the result is a divergent perturbation series with no sign alternance at large orders.