TY - JOUR
T1 - Model of Persistent Breaking of Discrete Symmetry
AU - Chai, Noam
AU - Dymarsky, Anatoly
AU - Smolkin, Michael
N1 - Publisher Copyright:
Published by the American Physical Society
PY - 2022/1/7
Y1 - 2022/1/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85123202990&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.128.011601
DO - 10.1103/PhysRevLett.128.011601
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C2 - 35061483
AN - SCOPUS:85123202990
SN - 0031-9007
VL - 128
JO - Physical Review Letters
JF - Physical Review Letters
IS - 1
M1 - 011601
ER -