RESUMMING NOT SUMMABLE PERTURBATIVE SERIES

In this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechan-ics. We give a numerical evidence for cancelation of imaginary contributions to energy coming from Borel resummation and multi-instanton terms. We also estimate several higher coefficients of the multi-instanton expansion which are not given in the literature. DOI:10.5506/APhysPolB.44.49 PACS numbers: 02.30.Lt, 03.65.X