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

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dc.creatorKastening, Boris
dc.date2003-09-02
dc.date2003-09-11
dc.date.accessioned2026-07-07T06:31:38Z
dc.date.available2026-07-07T06:31:38Z
dc.descriptionThe 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 Delta<phi^2>/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 Delta T_c/T_c = 1.27 +/- 0.11 a n^(1/3). We use seven-loop perturbative coefficients, extending earlier work by one loop order.
dc.description8 pages; typos and errors of presentation fixed; beautifications; results unchanged
dc.identifierhttps://arxiv.org/abs/cond-mat/0309060
dc.identifierhttp://arxiv.org/abs/cond-mat/0309060
dc.identifierPhys.Rev. A69 (2004) 043613
dc.identifierdoi:10.1103/PhysRevA.69.043613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98664
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Physics
dc.titleBose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
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