The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension

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.

33 pages, 10 figures

References in corpus (5)

• A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• Yang-Mills Theory in 2+1 Dimensions: Coupling of Matter Fields and String-breaking Effects
• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• Computation of the string tension in three dimensional Yang-Mills theory using large N reduction