Thermal order in the biconical model
- 1The Hebrew University of Jerusalem
Abstract
A bstract : Thermal fluctuations are generally expected to destroy order and restore symmetries at sufficiently high temperatures. Recently, however, a family of scalar theories in 2 + 1 dimensions was shown to exhibit ℤ ₂ symmetry breaking that persists to arbitrarily high temperatures using a variety of approaches, including the ϵ -expansion, the FRG, and large- N techniques. Although the similarities among these theories suggest that they belong to the same universality class, this connection has not been established explicitly. In this work, we fill this gap. Using large- N methods, we analytically study the biconical vector model in a range of spacetime dimensions, including 2 + 1, at leading and next-to-leading order in the 1/ N expansion. We determine the RG flow, fixed-point structure, and the CFT data of the infrared theory, reproducing and extending previous results and thereby unifying the apparently distinct constructions within a common analytic framework. We derive the effective potential, establish its stable minima at zero and finite temperature, and demonstrate spontaneous ℤ ₂ symmetry breaking at arbitrarily high temperatures for large finite N .
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BibTeX
@article{smolkin2026thermal,
title = {{Thermal order in the biconical model}},
author = {Michael Smolkin and Lev Yung},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)245},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)245},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Thermal order in the biconical model
AU - Michael Smolkin
AU - Lev Yung
PY - 2026
DA - 2026/10/23
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)245
UR - https://link.springer.com/article/10.1007/JHEP10(2026)245
AB - A bstract : Thermal fluctuations are generally expected to destroy order and restore symmetries at sufficiently high temperatures. Recently, however, a family of scalar theories in 2 + 1 dimensions was shown to exhibit ℤ ₂ symmetry breaking that persists to arbitrarily high temperatures using a variety of approaches, including the ϵ -expansion, the FRG, and large- N techniques. Although the similarities among these theories suggest that they belong to the same universality class, this connection has not been established explicitly. In this work, we fill this gap. Using large- N methods, we analytically study the biconical vector model in a range of spacetime dimensions, including 2 + 1, at leading and next-to-leading order in the 1/ N expansion. We determine the RG flow, fixed-point structure, and the CFT data of the infrared theory, reproducing and extending previous results and thereby unifying the apparently distinct constructions within a common analytic framework. We derive the effective potential, establish its stable minima at zero and finite temperature, and demonstrate spontaneous ℤ ₂ symmetry breaking at arbitrarily high temperatures for large finite N .
SN - 1029-8479
ER -