Quantum free Yang–Mills on the plane Academic Article uri icon


  • 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. © 2011 Elsevier B.V.

author list (cited authors)

  • Anshelevich, M., & Sengupta, A. N.

citation count

  • 7

publication date

  • February 2012