Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-19
Phys.Lett. B564 (2003) 111
Physics
High Energy Physics
High Energy Physics - Theory
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all P
Scientific paper
10.1016/S0370-2693(03)00489-1
We present a method for evaluating divergent non-Borel-summable series by an analytic continuation of variational perturbation theory. We demonstrate the power of the method by an application to the exactly known partition function of the anharmonic oscillator in zero spacetime dimensions. In one spacetime dimension we derive the imaginary part of the ground state energy of the anharmonic oscillator for {\em all negative values of the coupling constant $g$, including the nonanalytic tunneling regime at small-$g$. As a highlight of the theory we retrieve from the divergent perturbation expansion the action of the critical bubble and the contribution of the higher loop fluctuations around the bubble.
Hamprecht Bodo
Kleinert Hagen
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