The Hamiltonian approach to Yang-Mills (2 + 1): Expansion scheme and corrections to string tension

Authors

Dimitra Karabali, CUNY Lehman CollegeFollow
V P. Nair, CUNY City College of New YorkFollow
Alexandr Yelinkov, CUNY City College of New York

Document Type

Article

Publication Date

2010

Abstract

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The solution of the Schrodinger equation is carried out recursively. The computation of correlators is re-expressed in terms of a two-dimensional chiral boson theory. The effective action for this theory is calculated to first order in our expansion scheme and to the fourth order in a kinematic expansion parameter. The resulting corrections to the string tension are shown to be very small, in the range -0.3% to -2.8%, moving our prediction closer to the recent lattice estimates.

Comments

This work was originally published in Nuclear Physics B, available at DOI: 10.1016/j.nuclphysb.2009.07.019.