The Yang-Mills vacuum wave functional in three dimensions at weak coupling

Abstract

We compute the Yang-Mills vacuum wave functional in three dimensions at weak coupling with O(e^2) precision. We use two different methods to solve the Schroedinger functional equation. One of them generalizes to O(e^2) the method followed by Hatfield at O(e). The other uses the weak coupling version of the gauge invariant formulation of the Schroedinger equation and the ground state wave functional followed by Karabali, Nair, and Yelnikov. We compare both results and discuss the differences between them.

29 pages, two new references, minor changes, physics unchanged. To meet journal version

References in corpus (4)

• The Hamiltonian Approach to Yang-Mills (2+1): An Expansion Scheme and Corrections to String Tension
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis

Cited by in corpus (3)

• The Yang-Mills Vacuum Wave Functional in 2+1 Dimensions
• The Yang-Mills vacuum wave functional thirty-five years later
• Numerical study of the SU(2) Yang-Mills vacuum state: Much ado about nothing?