Resumming Not Summable Perturbative Series

Z. Ambroziński, J. Wosiek
2013 Acta Physica Polonica B  
In this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechanics. 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 fatcat:rua4hljuindnfa2jaidrtdxwj4