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A fully self-consistent Hartre-Fock theory, using the Coulomb interaction screened by the polarization insertions calculated in the self-consistent random-phase approximation, is applied to thed-dimensional, dense, charged Bose gas at temperatures close to the transition temperatureT c . The quasiparticle energy spectrum is calculated and shown to behave atT c like ε(k)=Ak σ for smallk, and σ is calculated as a function of the dimensionalityd. The change in transition temperature from that of an ideal gas at the same density, and of the chemical potential are shown to be given by (T c −T c0 )/T c0 ≈Xr s (d−2)/3 and μ c ≈Yr s 2/3 , wherer s is the ratio of the interparticle spacing to the Bohr radius. Approximate expressions are given for the coefficientsX andY. The critical exponents are calculated, and the system is shown to obey exact scaling.
Journal of Low Temperature Physics – Springer Journals
Published: Nov 2, 2004
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