Complex φ⁴ Theory at Finite Temperature and Density via Extended Mean Field Theory

2013/11/18 by Oscar Åkerlund, Akerlund, Oscar, Philippe de Forcrand +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1311.4440

openalex publication_date 2013/11/18 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We review the Extended Mean Field (EMFT) approximation and apply it to complex, scalar φ⁴ theory on the lattice. We determine the (T,μ) phase diagram and study the critical properties of the Bose condensation transition, at zero and finite temperature. In both cases we obtain results which agree very well with recent Monte Carlo studies. Within our approximation we can reach the thermodynamic limit and can thus obtain results at lattice spacings unreachable by present Monte Carlo simulations. We find that our approximation reproduces accurately many phenomena of the model, like the "Silver Blaze" behavior at zero temperature and dimensional reduction at finite temperature.

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