Quantum free Yang-Mills on the plane
Abstract
We construct a free-probability quantum Yang-Mills theory on the two dimensional plane, determine the Wilson loop expectation values, and show that this theory is the N=∞ limit of U(N) quantum Yang-Mills theory on the plane. Our model provides an example of a stochastic geometry, motivated by quantum field theory, based on free probability theory.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- February 2012
- DOI:
- 10.1016/j.geomphys.2011.10.005
- arXiv:
- arXiv:1106.2107
- Bibcode:
- 2012JGP....62..330A
- Keywords:
-
- Mathematics - Operator Algebras;
- Mathematical Physics;
- Primary: 81T13;
- Secondary: 46L54
- E-Print:
- 24 pages, tikz figures