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A model of persistent breaking of continuous symmetry

by Noam Chai, Anatoly Dymarsky, Mikhail Goykhman, Ritam Sinha, Michael Smolkin

This Submission thread is now published as SciPost Phys. 12, 181 (2022)

Submission summary

As Contributors: Noam Chai
Arxiv Link: (pdf)
Date accepted: 2022-05-23
Date submitted: 2022-04-14 02:43
Submitted by: Chai, Noam
Submitted to: SciPost Physics
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We consider a UV-complete field-theoretic model in general dimensions, including $d=2+1$, that exhibits spontaneous breaking of continuous symmetry, persisting to arbitrarily large temperatures. Our model consists of two copies of the long-range vector models, with $O(m)$ and $O(N-m)$ global symmetry groups, perturbed by double-trace operators. Using conformal perturbation theory we find weakly-coupled IR fixed points for $N\geq 6$ that reveal a spontaneous breaking of global symmetry. Namely, at finite temperature the lower rank group is broken, with the pattern persisting at all temperatures due to scale-invariance. We provide evidence that the models in question are unitary and invariant under full conformal symmetry. Our work generalizes recent results, which considered the particular case of $m=1$ and reported persistent breaking of the discrete $\mathbb{Z}_2=O(1)$. Furthermore, we show that this model exhibits a continuous family of weakly interacting field theories at finite $N$.

Published as SciPost Phys. 12, 181 (2022)

Reports on this Submission

Anonymous Report 2 on 2022-5-5 (Invited Report)


The authors' editing satisfied almost all my requests. (Just to be clear, with "missing articles" I means missing "the" and "a, an"). I recommend the paper for publication on SciPost in its current form.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Anonymous Report 1 on 2022-4-20 (Invited Report)


The authors' changes after my initial referee report are sufficient. I recommend publication to SciPost Physics.

  • validity: top
  • significance: good
  • originality: high
  • clarity: top
  • formatting: excellent
  • grammar: excellent

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