Dyson-Maleev representation of nonlinear sigma-models

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dc.creatorIvanov, D. A.
dc.creatorSkvortsov, M. A.
dc.date2008-01-14
dc.date.accessioned2026-07-07T11:55:13Z
dc.date.available2026-07-07T11:55:13Z
dc.descriptionFor nonlinear sigma-models in the unitary symmetry class, the non-linear target space can be parameterized with cubic polynomials. This choice of coordinates has been known previously as the Dyson-Maleev parameterization for spin systems, and we show that it can be applied to a wide range of sigma-models. The practical use of this parameterization includes simplification of diagrammatic calculations (in perturbative methods) and of algebraic manipulations (in non-perturbative approaches). We illustrate the use and specific issues of the Dyson-Maleev parameterization with three examples: the Keldysh sigma-model for time-dependent random Hamiltonians, the supersymmetric sigma-model for random matrices, and the supersymmetric transfer-matrix technique for quasi-one-dimensional disordered wires. We demonstrate that nonlinear sigma-models of unitary-like symmetry classes C and B/D also admit the Dyson-Maleev parameterization.
dc.description16 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0801.2180
dc.identifierhttp://arxiv.org/abs/0801.2180
dc.identifierJ.Phys.A41:215003,2008
dc.identifierdoi:10.1088/1751-8113/41/21/215003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205175
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleDyson-Maleev representation of nonlinear sigma-models
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