https://doi.org/10.1007/s100510051063
P-adic numbers and replica symmetry breaking
1
Dipartimento di Fisica and Sezione INFN,
Università di Roma "La Sapienza", Piazzale Aldo Moro, Roma 00199, Italy
2
Laboratoire de Physique Théorique de l'École Normale
SupérieureUnité Propre du Centre National de la Recherche Scientifique,
associée à l'École Normale Supérieure et à l'Université de
Paris-Sud., 24 rue Lhomond, 75231 Paris Cedex 05, France
Received:
9
June
1999
Published online: 15 April 2000
The p-adic formulation of replica symmetry breaking is presented. In this approach ultrametri city is a natural consequence of the basic properties of the p-adic numbers. Many properties can be simply derived in this approach and p-adic Fourier transform seems to be a promising tool.
PACS: 05.20.-y – Classical statistical mechanics / 64.70.Pf – Glass transitions / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
