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No replica symmetry breaking phase in random field Ginzburg-Landau model

Mathematical Physics 2019-08-15 v1 math.MP

Abstract

It is proved that the variance of spin overlap vanishes in the infinite volume limit of random field Ginzburg-Landau model using its FKG property.

Keywords

Cite

@article{arxiv.1907.07329,
  title  = {No replica symmetry breaking phase in random field Ginzburg-Landau model},
  author = {C. Itoi and Y. Utsunomiya},
  journal= {arXiv preprint arXiv:1907.07329},
  year   = {2019}
}

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13 pages