Phase Transitions Patterns in Relativistic and Nonrelativistic Multi-Scalar-Field Models

Abstract

We discuss the phenomena of symmetry non-restoration and inverse symmetry breaking in the context of multi-scalar field theories at finite temperatures and present its consequences for the relativistic Higgs-Kibble multi-field sector as well as for a nonrelativistic model of hard core spheres. For relativistic scalar field models, it has been shown previously that temperature effects on the couplings do not alter, qualitatively, the phase transition pattern. Here, we show that for the nonrelativistic analogue of these models inverse symmetry breaking, as well as symmetry non-restoration, cannot take place, at high temperatures, when the temperature dependence of the two-body couplings is considered. However, the temperature behavior in the nonrelativistic models allows for the appearance of reentrant phases.

20 pages, 12 eps figures

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• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Effective Potential and Thermodynamics for a Coupled Two-Field Bose Gas Model
• Inverse Symmetry Breaking in Multi-Scalar Field Theories
• The role of string-like, supramolecular assemblies in reentrant supernematic liquid crystals
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• A Model to Study Finite-Size and Magnetic Effects on the Phase Transition of a Fermion Interacting System
• Bose-Einstein Condensation and Symmetry Breaking of a Complex Charged Scalar Field
• Symmetry Aspects in Nonrelativistic Multi-Scalar Field Models and Application to a Coupled Two-Species Dilute Bose Gas
• Quantum phase transitions in a bidimensional $O(N)\times {\mathbb{Z}}_2$ scalar field model
• Finite-size effects on the phase transition in a four- and six-fermion interaction model
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Bosonic binary mixtures with Josephson-type interactions
• Inverse and Dynamical Supersymmetry Breaking in $S^1\times R^3$