Model of Persistent Breaking of Discrete Symmetry

Noam Chai, Anatoly Dymarsky, Michael Smolkin

Research output: Contribution to journalArticlepeer-review


We show there exist UV-complete field-theoretic models in general dimension, including 2+1, with the spontaneous breaking of a global symmetry, which persists to the arbitrarily high temperatures. Our example is a conformal vector model with the O(N)×Z2 symmetry at zero temperature. Using conformal perturbation theory we establish Z2 symmetry is broken at finite temperature for N>17. Similar to recent constructions of [N. Chai , Phys. Rev. D 102, 065014 (2020).PRVDAQ2470-001010.1103/PhysRevD.102.065014, N. Chai , Phys. Rev. Lett. 125, 131603 (2020).PRLTAO0031-900710.1103/PhysRevLett.125.131603], in the infinite N limit our model has a nontrivial conformal manifold, a moduli space of vacua, which gets deformed at finite temperature. Furthermore, in this regime the model admits a persistent breaking of O(N) in 2+1 dimensions, therefore providing another example where the Coleman-Hohenberg-Mermin-Wagner theorem can be bypassed.

Original languageAmerican English
Article number011601
JournalPhysical Review Letters
Issue number1
StatePublished - 7 Jan 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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