Renormalization group approach to spin glass systems |
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Authors: | G Parisi R Petronzio F Rosati |
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Institution: | (1) Dipartimento di Fisica, INFN and INFM, Università di Roma “La Sapienza”, P.le Aldo Moro 2, 00185 Roma, Italia, IT;(2) Dipartimento di Fisica and INFN, Università di Roma “Tor Vergata”, via della Ricerca Scientifica 1, 00133 Roma, Italia, IT;(3) Dipartimento di Fisica, Università di Roma “Tor Vergata”, via della Ricerca Scientifica 1, 00133 Roma, Italia, IT |
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Abstract: | A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented.
The procedure is non-standard in both the nature of the additional interactions and the coarse graining transformation, that
is performed on the overlap probability measure. Universality classes are thus naturally defined on a large set of models,
going from and Gaussian spin glasses to Ising and fully frustrated models, and others. The proposed analysis is tested numerically on
the Edwards-Anderson model in d = 4. Good estimates of the critical index ν and of T
c are obtained, and an RG flow diagram is sketched for the first time.
Received 17 November 2000 |
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Keywords: | PACS 75 10 Nr Spin-glass and other random models – 05 10 Cc Renormalization group methods |
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