Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-17
Phys.Lett. B564 (2003) 111-114
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
We present a method for extracting tunnelling amplitudes from perturbation expansions which are always divergent and not Borel-summable. We show that they can be evaluated by an analytic continuation of variational perturbation theory. The power of the method is illustrated by calculating the imaginary parts of the partition function of the anharmonic oscillator in zero spacetime dimensions and of the ground state energy of the anharmonic oscillator for all negative values of the coupling constant $g$ and show that they are in excellent agreement with the exactly known values. As a highlight of the theory we recover from the divergent perturbation expansion of the tunnelling amplitude the action of the instanton and the effects of higher loop fluctuations around it.
Hamprecht Bodo
Kleinert Hagen
No associations
LandOfFree
Summing Non-Borel Tunnelling Amplitudes by Variational Perturbation Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Summing Non-Borel Tunnelling Amplitudes by Variational Perturbation Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Summing Non-Borel Tunnelling Amplitudes by Variational Perturbation Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-381428