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Spontaneous breaking of finite group symmetries at all temperatures
by Pedro Liendo, Junchen Rong, Haoyu Zhang
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Junchen Rong |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2205.13964v5 (pdf) |
| Date accepted: | 2023-04-19 |
| Date submitted: | 2023-03-22 09:33 |
| Submitted by: | Rong, Junchen |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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 $\lambda \phi^4$ 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.
Published as SciPost Phys. 14, 168 (2023)
Author comments upon resubmission
List of changes
The typo spotted by referee 2 has been fixed.