Chennai Mathematical Institute


Approximation methods for large-N matrix models
Dr. Govind Krishnaswami
Utrecht University, The Netherlands.


Matrix models are toy-models for gluon dynamics in quantum non-abelian gauge theories, such as the physically relevant QCD. The limit as the matrices become large is a `classical' limit and expected to be a good approximation. However, the problem of determining correlations of large-N matrix models is itself very difficult and requires further approximations. We discuss a few such methods based on algebraic and probabilistic structures of large-N matrix models. A variational approach is presented, which involves the confluence of ideas on the entropy of operator-valued random variables and cohomology of automorphism groups of free algebras. Another technique seeks to exploit ideas from deformation quantization to approximately solve the equations of matrix models.

Search WWW Search