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DC Field | Value | Language |
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dc.contributor.author | Akemann, G | - |
dc.contributor.author | Bittner, E | - |
dc.contributor.author | Phillips, MJ | - |
dc.contributor.author | Shifrin, L | - |
dc.coverage.spatial | 4 | en |
dc.date.accessioned | 2009-09-28T12:17:12Z | - |
dc.date.available | 2009-09-28T12:17:12Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Physical Review E. 80: 065201(R) | en |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/3658 | - |
dc.identifier.uri | http://link.aps.org/doi/10.1103/PhysRevE.80.065201 | en |
dc.description.abstract | We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-N limit we find an excellent agreement, valid for a small number of exact zero-eigenvalues. New compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes, and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in Lattice Gauge Theory and we illustrate this by showing that our new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class. | en |
dc.format.extent | 1264633 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | American physical society | en |
dc.subject | Random matrix theory | en |
dc.subject | Lattice gauge theory | en |
dc.title | Wigner surmise for Hermitian and non-Hermitian Chiral random matrices | en |
dc.type | Research Paper | en |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevE.80.065201 | - |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers |
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Fulltext.pdf | 1.23 MB | Adobe PDF | View/Open |
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