Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Six Loops

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages; omega' corrected: final result changes slightly to 1.25+/-0.13; references added; several minor changes

Scientific paper

10.1103/PhysRevA.68.061601

We compute the shift of the transition temperature for a homogenous weakly
interacting Bose gas in leading order in the scattering length a for given
particle density n. Using variational perturbation theory through six loops in
a classical three-dimensional scalar field theory, we obtain Delta T_c/T_c =
1.25+/-0.13 a n^(1/3), in agreement with recent Monte-Carlo results.

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