Extended Mean Field study of complex ${\varphi }^4$-theory at finite density and temperature

Abstract

We review the Extended Mean Field Theory (EMFT) approximation and apply it to complex, scalar ${\varphi }^4$-theory on the lattice. We study the critical properties of the Bose condensation driven by a nonzero chemical potential $\mu$ at both zero and nonzero temperature and determine the $(T,\mu )$ phase diagram. The results are in very good agreement with recent Monte Carlo data for all parameter values considered. EMFT can be formulated directly in the thermodynamic limit which allows us to study lattice spacings for which Monte Carlo studies are not feasible with present techniques. We find that the EMFT approximation accurately reproduces many known phenomena of the exact solution, like the "Silver Blaze" behavior at zero temperature and dimensional reduction at finite temperature.

arXiv comment10 pages, 5 figures, v2: minor updates to matched published version

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Cited by in corpus (8)

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• A study of symmetry breaking in a relativistic Bose gas using the contraction algorithm
• Higgs-Yukawa model with higher dimension operators via extended mean field theory
• Thermodynamics of the Bose-Hubbard model in a Bogoliubov+U theory
• Numerical methods for the sign problem in Lattice Field Theory
• FRG analysis for a relativistic BEC in arbitrary spatial dimensions