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The Effect of Weak Interactions on the Ultra-Relativistic Bose-Einstein Condensation Temperature

D. J. Bedingham·T. S. Evans
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Abstract

We calculate the ultra-relativistic Bose-Einstein condensation temperature of a complex scalar field with weak lambda Phi^4 interaction. We show that at high temperature and finite density we can use dimensional reduction to produce an effective three-dimensional theory which then requires non-perturbative analysis. For simplicity and ease of implementation we illustrate this process with the linear delta expansion.

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D. J. Bedingham, T. S. Evans. 2001-09-20. The Effect of Weak Interactions on the Ultra-Relativistic Bose-Einstein Condensation Temperature. https://doi.org/10.1103/physrevd.64.105018

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