The U.V. Price for Symmetry Non-Restoration

Abstract

We study the non restoration of symmetries with a local order parameter in field theory at finite temperature. After giving an interpretation of the phenomenon, we show that hierarchy problems are a necessary condition for its realization in renormalizable theories. We then use a large N treatment, and find that high temperature symmetry can stay broken in this limit (in opposition with a previous result), and further that the running of couplings reinforces the effect in the simplest model with two scalars.

11 pages, 2 figs. Changes: added a discussion on trilinear couplings in section 2 to meet referee's question

References in corpus (6)

• IS THERE A DOMAIN WALL PROBLEM?
• On Symmetry Non-Restoration at High Temperature
• Wilson Renormalization Group Study of Inverse Symmetry Breaking
• On supersymmetry at high temperature
• Rayleigh-Ritz Variational Approximation and Symmetry Nonrestoration
• Symmetry Non Restoration and Inverse Symmetry Breaking on the lattice

Cited by in corpus (27)

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• Large Lepton Number of the Universe and The Fate of Topological Defects
• Inverse Symmetry Breaking with 4d Lattice Simulations
• The Fading of Symmetry Non-restoration at Finite Temperature
• Inverse Symmetry Breaking on the lattice: an accurate MC study
• High-Temperature Electroweak Symmetry Breaking by SM Twins
• Can A Pseudo-Nambu-Goldstone Higgs Lead To Symmetry Non-Restoration?
• Avoided Deconfinement in Randall-Sundrum Models
• The free and safe fate of symmetry non-restoration
• Thermal order in large N conformal gauge theories
• High Temperature Symmetry Breaking via Flat Directions
• Symmetry Nonrestoration in a Gross-Neveu Model with Random Chemical Potential
• Symmetry breaking at high temperatures in large N gauge theories
• Effective field theory for closed strings near the Hagedorn temperature
• Electroweak Symmetry Non-Restoration from Dark Matter
• Towards TeV-Scale Supersymmetric Electroweak Baryogenesis
• Quantum phase transitions in a bidimensional $O(N)\times {\mathbb{Z}}_2$ scalar field model
• Rochelle salt: a prototype of particle physics
• Dynamics of O(N) chiral supersymmetry at finite energy density
• Out of Equilibrium Dynamics of Supersymmetry at High Energy Density
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Early Universe hypercharge breaking and neutrino mass generation
• Symmetry breaking patterns for two coupled complex scalar fields at finite temperature and in an external magnetic field