Large-D Expansion from Variational Perturbation Theory

Abstract

We derive recursively the perturbation series for the ground-state energy of the D-dimensional anharmonic oscillator and resum it using variational perturbation theory (VPT). From the exponentially fast converging approximants, we extract the coefficients of the large-D expansion to higher orders. The calculation effort is much smaller than in the standard field-theoretic approach based on the Hubbard-Stratonovich transformation.

Author Information under http://hbar.wustl.edu/~sbrandt and http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir

References in corpus (4)

• Specific Heat of Liquid Helium in Zero Gravity very near the Lambda Point
• High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
• Variational Perturbation Theory for Fokker-Planck Equation with Nonlinear Drift
• Recursive Calculation of Effective Potential and Variational Resummation

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