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DC Field | Value | Language |
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dc.contributor.author | Akemann, G | - |
dc.coverage.spatial | 13 | en |
dc.date.accessioned | 2006-12-21T14:02:56Z | - |
dc.date.available | 2006-12-21T14:02:56Z | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | Physics Letters B, 547(1-2): 100-108, Jun 2002 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/462 | - |
dc.description.abstract | The microscopic correlation functions of non-chiral random matrix models with complex eigenvalues are analyzed for a wide class of non-Gaussian measures. In the large-N limit of weak non-Hermiticity, where N is the size of the complex matrices, we can prove that all k-point correlation functions including an arbitrary number of Dirac mass terms are universal close to the origin. To this aim we establish the universality of the asymptotics of orthogonal polynomials in the complex plane. The universality of the correlation functions then follows from that of the kernel of orthogonal polynomials and a mapping of massive to massless correlators. | en |
dc.format.extent | 210444 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science | en |
dc.title | Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1016/S0370-2693(02)02737-5 | - |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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Microscopic Universality.pdf | 205.51 kB | Adobe PDF | View/Open |
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