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Spontaneous breaking of finite group symmetries at all temperatures

by Pedro Liendo, Junchen Rong, Haoyu Zhang

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Submission summary

Authors (as registered SciPost users): Junchen Rong
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-04-19
Date submitted: 2023-03-22 09:33
Submitted by: Rong, Junchen
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases that persist at all temperatures. We work with two $\lambda \phi^4$ theories coupled through their mass terms. The two $\lambda \phi^4$ 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.

Author comments upon resubmission

The typo spotted by referee 2 has been fixed. We believe the draft is ready for publishing.

List of changes

The typo spotted by referee 2 has been fixed.

Published as SciPost Phys. 14, 168 (2023)

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