Quantum free Yang-Mills on the plane Academic Article

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. 2011 Elsevier B.V.

authors

• Anshelevich, Michael

published proceedings

• JOURNAL OF GEOMETRY AND PHYSICS

altmetric score

• 3

author list (cited authors)

• Anshelevich, M., & Sengupta, A. N.

citation count

• 12

complete list of authors

• Anshelevich, Michael||Sengupta, Ambar N

publication date

• January 2012

publisher

• Elsevier  Publisher

published in

• Journal of Geometry and Physics  Journal

keywords

• Free Probability
• Large-n Limit
• Quantum Yang-mills
• Stochastic Geometry

Digital Object Identifier (DOI)

• 10.1016/j.geomphys.2011.10.005

start page

• 330

end page

• 343

volume

• 62

issue

• 2

URL

• http://dx.doi.org/10.1016/j.geomphys.2011.10.005