DOI: 10.1051/jp1:1993241
J. Phys. I France 3 (1993) 2207-2227

The de Ahneida-Thouless line in the four dimensional Ising spin glass

J.C. Ciria¹, G. Parisi², F. Ritort^{3, 4} and J.J. Ruiz-Lorenzo<sup>5

1</sup>  Departamento de Física Teorica, Universidad de Zaragoza, Pza. S. Francisco s/n, 50009 Zaragoza, Spain
²  Dipartimento di Fisica, Università di Roma I, "La Sapienza", Piazzale Aldo Moro, Roma 00100, Italy and INFN, Sezione di Roma, "Tor Vergata" Via della Ricerca Scientifica, Roma 00133, Italy
³  Dipartimento di Fisica, Universit,i di Roma 11, "Tor Vergata", Via della Ricerca Scientifica, Roma 00133, Italy
⁴  Departament de Física Fonamental, Universitat de Barcelona, Diagonal 648, 08028 Barcelona, Spain
⁵  Departamento de Física Teorica I, Universidad Complutense de Madrid, Ciudad Universitaxia, 28040 Madrid, Spain

(Received 2 June 1993, accepted 13 July 1993)

Abstract
We confirm recent results obtained in a previous work by studying the Ising spin glass at finite magnetic field in four dimensions. Different approaches to this problem suggest the existence of a critical line similax to that found in mean-field theory but in a universality class different of the transition at zero magnetic field. Problems due to the strong nature of the finite-size corrections within a magnetic field are also discussed.

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