A model of persistent breaking of continuous symmetry

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

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5 Scopus citations


We consider a UV-complete field-theoretic model in general dimensions, including d = 2 + 1, which 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 ≥ 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. Furthermore, we show that this model exhibits a continuous family of weakly interacting field theories at finite N.

Original languageEnglish
Article numberA8
JournalSciPost Physics
Issue number6
StatePublished - Jun 2022

Bibliographical note

Funding Information:
We thank A. Avdoshkin, S. Chaudhuri, C. Choi, Z. Komargodski, E. Rabinovici for helpful discussions and correspondence. NC, RS and MS are grateful to the Israeli Science Foundation Center of Excellence (grant No. 2289/18) and the Quantum Universe I-CORE program of the Israel Planning and Budgeting Committee (grant No. 1937/12) for continuous support of our research. NC is grateful for the support from the Yuri Milner scholarship. AD is supported by the NSF under grant PHY-2013812. AD also acknowledges KITP for hospitality. The research at KITP was supported in part by the National Science Foundation under Grant No. PHY-1748958. The work of MG is partially supported by DOE grant DE-SC0011842.

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ASJC Scopus subject areas

  • Physics and Astronomy (all)


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