Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift

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dc.creatorKastening, Boris
dc.date2004-06-01
dc.date.accessioned2026-07-07T02:58:25Z
dc.date.available2026-07-07T02:58:25Z
dc.descriptionFor an O(N) symmetric scalar field theory with Euclidean action integral d^3x [1/2 |nabla phi|^2 + 1/2 r phi^2 + 1/4! u phi^4], where phi = (phi_1,...,phi_N) is a vector of N real field components, variational perturbation theory through seven loops is employed for N = 0,1,2,3,4 to compute the renormalized value of r/(N+2)u^2 at the phase transition. Its exact large-N limit is determined as well. We also extend an earlier computation of the interaction-induced shift Delta<phi^2>/Nu for N = 1,2,4 to N = 0,3. For N = 2, the results for the two quantities are used to compute the second-order shift of the condensation temperature of a dilute Bose gas, both in the homogenous case and for the wide limit of a harmonic trap. Our results are in agreement with earlier Monte Carlo simulations for N = 1,2,4. The appendix contains previously unpublished numerical seven-loop data provided to us by B.Nickel.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0406035
dc.identifierhttp://arxiv.org/abs/cond-mat/0406035
dc.identifierPhys. Rev. A 70, 043621 (2004)
dc.identifierdoi:10.1103/PhysRevA.70.043621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24085
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNon-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
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