Spontaneous breaking of finite group symmetries at all temperatures

Abstract

We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases that persist at all temperatures. We work with two $\lambda {\varphi }^4$ theories coupled through their mass terms. The two $\lambda {\varphi }^4$ theories are chosen to preserve either the cubic symmetry group or the tetrahedral symmetry group. A one-loop calculation in the $4-\epsilon$ expansion shows that there exist infinitely many fixed points that can host an all temperature SSB phase. An analysis of the renormalization group (RG) stability matrix of these fixed points, reveals that their spectrum contains at least three relevant operators. In other words, these fixed points are tetracritical points.

arXiv commenttypos corrected

References in corpus (28)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Critical Phenomena and Renormalization-Group Theory
• Solving the 3D Ising Model with the Conformal Bootstrap
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Precision Islands in the Ising and $O(N)$ Models
• Topological Defect Lines and Renormalization Group Flows in Two Dimensions
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Duality and defects in rational conformal field theory
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Thermal Order in Conformal Theories
• Thermodynamics of the interplay between magnetism and high-temperature superconductivity
• General Properties of Multiscalar RG Flows in $d=4-\epsilon$
• Exotic Hairy Black Holes
• Scalar CFTs and Their Large N Limits
• Bicritical and tetracritical phenomena and scaling properties of the SO(5) theory
• Seeking SUSY fixed points in the $4-\epsilon$ expansion
• Thermal order in holographic CFTs and no-hair theorem violation in black branes
• A model of persistent breaking of discrete symmetry
• The fate of the conformal order
• Thermal order in large N conformal gauge theories
• A model of persistent breaking of continuous symmetry
• Symmetry-respecting real-space renormalization for the quantum Ashkin-Teller model
• Symmetry breaking at high temperatures in large N gauge theories
• Compactified holographic conformal order
• The Cubic Fixed Point at Large $N$
• The quest for a conifold conformal order