Classical fields method for a relativistic interacting Bose gas

Abstract

We formulate a classical fields method for description of relativistic interacting bosonic particles at nonzero temperatures. The method relays on the assumption that at low temperatures the Bose field can be described by a c-number function. We discuss a very important role of the cut-off momentum which divides the field into dominant classical part and a small quantum correction. We illustrate the method by studying a thermodynamics of relativistic Bose field which dynamics is governed by the Klein-Gordon equation with $\lambda {\psi }^4$ term responsible for interactions.

12 pages, 10 figures

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Cited by in corpus (3)

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• Analogue gravitational phenomena in Bose-Einstein condensates