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Effective-action approach to Bose-Einstein condensation and superconductivity of a charged ideal nonrelativistic Bose gas

D. J. Toms

DOI 10.1103/PhysRevB.50.3120 · Physical Review B

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Abstract

We use the effective-action approach to quantum-field theory to study some of the thermodynamic properties of a charged ideal nonrelativistic gas of spin-0 bosons in a weak external magnetic field. It is shown how Bose-Einstein condensation and the Meissner-Oschenfeld effect arise. By using generalized ζ functions and dimensional regularization a very complete analysis for a space of arbitrary dimension can be given.

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