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DC Field | Value | Language |
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dc.contributor.author | Akemann, G | - |
dc.contributor.author | Vernizzi, G | - |
dc.coverage.spatial | 24 | en |
dc.date.accessioned | 2006-12-22T09:20:58Z | - |
dc.date.available | 2006-12-22T09:20:58Z | - |
dc.date.issued | 2000 | - |
dc.identifier.citation | Nucl.Phys. B583: 739-757, 2000 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/472 | - |
dc.description.abstract | A random matrix model with a σ-model like constraint, the restricted trace ensemble (RTE), is solved in the large-n limit. In the macroscopic limit the smooth connected two-point resolvent G(z,w) is found to be non-universal, extending previous results from monomial to arbitrary polynomial potentials. Using loop equation techniques we give a closed though non-universal expression for G(z,w), which extends recursively to all higher k-point resolvents. These findings are in contrast to the usual unconstrained one-matrix model. However, in the microscopic large-n limit, which probes only correlations at distance of the mean level spacing, we are able to show that the constraint does not modify the universal sine-law. In the case of monomial potentials V(M)=M2p, we provide a relation valid for finite-n between the k-point correlation function of the RTE and the unconstrained model. In the microscopic large-n limit they coincide which proves the microscopic universality of RTEs. | en |
dc.format.extent | 232395 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.title | Macroscopic and microscopic (non-)universality of compact support random matrix theory | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1016/S0550-3213(00)00325-4 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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Macroscopic and Microscopic.pdf | 226.95 kB | Adobe PDF | View/Open |
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