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Bose-Einstein condensation temperature of a homogenous weakly interacting Bose gas in variational perturbation theory through seven loops

Kastening, Boris (2004):
Bose-Einstein condensation temperature of a homogenous weakly interacting Bose gas in variational perturbation theory through seven loops.
In: Physical Review A, American Physical Society, pp. 043613-1-043613-8, 69, (4), ISSN 1050-2947, [Online-Edition: http://dx.doi.org/10.1103/PhysRevA.69.043613],
[Article]

Abstract

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length a is computed for given particle density n. Variational perturbation theory is used to resum the corresponding perturbative series for Dkf2l /Nu in a classical three-dimensional scalar field theory with coupling u and where the physical case of N=2 field components is generalized to arbitrary N. Our results for N=1,2,4 are in agreement with recent Monte Carlo simulations; for N=2, we obtain DTc /T0=s1.27±0.11dan1/3. We use seven-loop perturbative coefficients, extending earlier work by one loop order.

Item Type: Article
Erschienen: 2004
Creators: Kastening, Boris
Title: Bose-Einstein condensation temperature of a homogenous weakly interacting Bose gas in variational perturbation theory through seven loops
Language: English
Abstract:

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length a is computed for given particle density n. Variational perturbation theory is used to resum the corresponding perturbative series for Dkf2l /Nu in a classical three-dimensional scalar field theory with coupling u and where the physical case of N=2 field components is generalized to arbitrary N. Our results for N=1,2,4 are in agreement with recent Monte Carlo simulations; for N=2, we obtain DTc /T0=s1.27±0.11dan1/3. We use seven-loop perturbative coefficients, extending earlier work by one loop order.

Journal or Publication Title: Physical Review A
Volume: 69
Number: 4
Publisher: American Physical Society
Divisions: 11 Department of Materials and Earth Sciences > Material Science > Advanced Thin Film Technology
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences
Date Deposited: 09 Jan 2013 08:47
Official URL: http://dx.doi.org/10.1103/PhysRevA.69.043613
Identification Number: doi:10.1103/PhysRevA.69.043613
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