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Festkörperprobleme 25 pp 225–232Cite as

Towards a field theory of spin glasses

  • Spin Glasses
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Part of the book series: Advances in Solid State Physics ((ASSP,volume 25))

Abstract

The talk reviews Parisi's mean field theory for an Ising spin glass, with emphasis on its stability properties and physical interpretation. Next, as a first step towards physical, shortrange systems, quadratic fluctuations around this mean field solution are considered and shown to be finite, despite the presence of an infinity of soft modes in the theory. Working out the first corrections to the equation of state beyond the Gaussian approximation, however, it is found that divergences begin to plague the theory in any dimension, once interactions between fluctuations are taken into account. A preliminary analysis of higher orders indicates how the perturbation series is to be rearranged to obtain a meaningful theory.

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Author notes

  1. Imre Kondor

    Present address: Institute for Theoretical Physics, Eötvös University, Budapest, Hungary

Authors and Affiliations

  1. Department of Theoretical Physics, University of Manchester, M13 9PL, Manchester, U.K.

    Imre Kondor

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  1. Imre Kondor
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P. Grosse

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© 1985 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Kondor, I. (1985). Towards a field theory of spin glasses. In: Grosse, P. (eds) Festkörperprobleme 25. Advances in Solid State Physics, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108153

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  • DOI: https://doi.org/10.1007/BFb0108153

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08031-0

  • Online ISBN: 978-3-540-75361-2

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