Instantons in large order of the perturbative series

Hideaki Aoyama
1994 Physics Letters B  
Behavior of the Euclidean path integral at large orders of the perturbation series is studied. When the model allows tunneling, the path-integral functional in the zero instanton sector is known to be dominated by bounce-like configurations at large order of the perturbative series, which causes non-convergence of the series. We find that in addition to this bounce the perturbative functional has a subleading peak at the instanton and anti-instanton pair, and its sum reproduces the
more » ... es the non-perturbative valley.
doi:10.1016/0370-2693(94)90773-0 fatcat:z7jsmt45hjdgdmq2jngvzgmgta