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

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

Abstract

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.

Suggested Citation

  • Kondor, I. & De Dominics, C. & Temesvári, T., 1992. "Short range corrections to the order parameter and to the excitation spectrum of the Ising spin glass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 295-304.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:295-304
    DOI: 10.1016/0378-4371(92)90468-6
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    1. Robert L. Hetzel, 1991. "Too big to fail : origins, consequences, and outlook," Economic Review, Federal Reserve Bank of Richmond, vol. 77(Nov), pages 3-15.
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