Journal Article

PUBDB-2023-07628

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Spontaneous breaking of finite group symmetries at all temperatures

Liendo, P.DESY* ; Rong, J. (Corresponding author)DESY* ; Zhang, H. (Corresponding author)

2023
SciPost Foundation Amsterdam

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Please use a persistent id in citations: doi:10.21468/SciPostPhys.14.6.168  doi:10.3204/PUBDB-2023-07628

Abstract: We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases which persist at all temperatures. We work with two λϕ$^4$ theories coupled through their mass terms. The two λϕ$^4$ theories are chosen to preserve either the cubic symmetry group, or the tetrahedral symmetry group. A one-loop calculation in the 4 $-$ ϵ 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.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project 400570283 - Das Conformal Bootstrap Programm (400570283) (400570283)
3. DFG project 471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740) (471314740)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2023

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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