RT Journal Article
T1 Summability of the perturbative expansion for a zero-dimensional disordered spin model
A1 Álvarez, Gabriel
A1 Martín Mayor, Víctor
A1 Ruiz Lorenzo, Juan J.
AB We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method.
PB IOP Publishing
SN 0305-4470
YR 2000
FD 2000-02-11
LK https://hdl.handle.net/20.500.14352/60330
UL https://hdl.handle.net/20.500.14352/60330
LA eng
NO © 2000 IOP Publishing Ltd. We thank Professors G. Parisi for useful discussions and A. J. Bray for providing references. The financial support of the Universidad Complutense under project PR156/97-7100, the Comisión Interministerial de Ciencia y Tecnología under project AEN96-1708, and a postdoctoral grant from the MEC are also gratefully acknowledged.
NO Universidad Complutense de Madrid
NO Comisión Interministerial de Ciencia y Tecnología
DS Docta Complutense
RD 10 abr 2025