Publication : t06/046
Universal distribution of random matrix eigenvalues near the "birth of a cut" transition
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Abstract:Année de publication : 2006
We study the eigenvalue distribution of a random matrix, at a transition where a new connected component of the eigenvalue density support appears away from other connected components. Unlike previously studied critical points, which correspond to rational singularities rho(x)sim x^{p/q} classified by conformal minimal models and integrable hierarchies, this transition shows logarithmic and non-analytical behaviours. There is no critical exponent, instead, the power of N changes in a saw teeth behaviour.
Revue : J. Stat. Mech. P07005 (2006)
DOI : 10.1088/1742-5468/2006/07/P07005
Preprint : arXiv:math-ph/0605064
Lien : http://stacks.iop.org/JSTAT/2006/P07005
Keywords : Conformal field theory; Matrix models
Numéro Exterieur : ccsd-00071122
Langue : Anglais
Fichier(s) à télécharger :
1742-5468_2006_07_P07005.pdf publi.pdf
