Berlin 2005 – scientific programme
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MP: Theoretische und Mathematische Grundlagen der Physik
MP 7: Integrability and Variational Methods
MP 7.2: Fachvortrag
Wednesday, March 9, 2005, 12:25–12:45, TU MA141
Higher Orders of Large-D Expansion From Variational Perturbation Theory — •Axel Pelster1 and Sebastian Brandt2 — 1Fachbereich Physik, Universität Duisburg-Essen, Essen, Germany — 2Department of Physics, Campus Box 1105, Washington University St. Louis, MO 63130-4899, USA
We derive recursively the perturbation series for the ground-state energy of the D-dimensional anharmonic oscillator and resum it using variational perturbation theory. Extrapolating 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.