Short range corrections to the order parameter and to the excitation spectrum of the Ising spin glass

I. Kondor, C. De Dominics, T. Temesvári

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4 Citations (Scopus)


A consistent loop expansion around Parisi's replica symmetry breaking mean field theory for the Ising spin glass is constructed. Above the upper critical dimension d = 6 the short range corrections can be absorbed into the parameters of a Ginzburg-Landau type free energy functional whereby the d < ∞ dimensional theory can be mapped back onto mean field theory. For d > 8 the map is regular, thus mean field exponents are preserved, only prefactors are modified. For 6 < d < 8 the order parameter and the spectrum acquire non-trivial exponents which can still be calculated exactly. In the limit d →6 + 0 scaling is restored.

Original languageEnglish
Pages (from-to)295-304
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
Publication statusPublished - Jun 15 1992


ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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