A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices

Autor:	Akemann, G., Bittner, E., Phillips, M. J., Shifrin, L.
Rok vydání:	2009
Předmět:	High Energy Physics - Theory Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Statistical Mechanics High Energy Physics - Lattice
Zdroj:	Phys.Rev.E80:065201,2009
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.80.065201
Popis:	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. Comment: 4 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.4195 Zobrazit plný text záznamu View this record from Arxiv