Another critique of the replica trick

dc.creatorZirnbauer, Martin R.
dc.date1999-03-22
dc.date.accessioned2026-07-07T03:13:06Z
dc.date.available2026-07-07T03:13:06Z
dc.descriptionKamenev and Mezard, and Yurkevich and Lerner, have recently shown how to reproduce the large-frequency asymptotics of the energy level correlations for disordered electron systems, by doing perturbation theory around the saddles of the compact nonlinear sigma model derived from fermionic replicas. We present a critical review of their procedure and argue that its validity is limited to the perturbative regime of large frequency. The miraculous exactness of the saddle-point answer for beta = 2 (unitary symmetry) in the universal limit, is shown to be a special feature due to the Duistermaat-Heckman theorem.
dc.descriptionLateX, 21 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9903338
dc.identifierhttp://arxiv.org/abs/cond-mat/9903338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29166
dc.subjectMesoscale and Nanoscale Physics
dc.titleAnother critique of the replica trick
dc.typetext

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