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Journal Article

Resumming Not Summable Perturbative Series

MPS-Authors

Ambroziński,  Z.
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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v44p0049.pdf
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Citation

Ambroziński, Z., & Wosiek, J. (2013). Resumming Not Summable Perturbative Series. Acta Physica Polonica B, 44, 49-58. doi:10.5506/APhysPolB.44.49.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-19B2-1
Abstract
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.