Coupled random matrices in field theory and statistical mechanics (C06)

• Subject Area: Mathematics ; Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

In this project we study random matrices that are not independent. Emphasis will be put on coupled non-Hermitian matrices with complex eigenvalues, and their interpolation to the Hermitian limit. This topic has seen important developments in the past funding period, regarding analytical aspects, classification and applications in statistical mechanics and field theory. We aim at a deeper understanding of the related problem of two-dimensional static Coulomb gases in a confining potential at general temperatures, which generalizes the random matrix framework.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1283: Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
• Applicant Institution: Universität Bielefeld
• Project Head: Professor Dr. Gernot Akemann