The Hamiltonian Approach to Yang-Mills (2+1): An Update and Corrections to String Tension
Abstract
Yang-Mills theories in 2+1 (or 3) dimensions are interesting as nontrivial gauge theories in their own right and as effective theories of QCD at high temperatures. I shall review the basics of our Hamiltonian approach to this theory, emphasizing symmetries with a short update on its status. We will show that the calculation of the vacuum wave function for Yang-Mills theory in 2+1 dimensions is in the lowest order of a systematic expansion. Expectation values of observables can be calculated using an effective interacting chiral boson theory, which also leads to a natural expansion as a double series in the coupling constant (to be interpreted within a resummed perturbation series) and a particular kinematical factor. The calculation of the first set of corrections in this expansion shows that the string tension is modified by about -0.3% to -2.8% compared to the lowest order value. This is in good agreement with lattice estimates.
Keywords
Cite
@article{arxiv.0910.3252,
title = {The Hamiltonian Approach to Yang-Mills (2+1): An Update and Corrections to String Tension},
author = {V. P. Nair},
journal= {arXiv preprint arXiv:0910.3252},
year = {2011}
}
Comments
12 pages, 5 figures, Talk at the International Workshop on QCD Green's Functions, Confinement, and Phenomenology - QCD-TNT09, September 07 - 11 2009, Trento, Italy