English

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

High Energy Physics - Theory 2013-12-05 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1301.6922,
  title  = {The Yang-Mills vacuum wave functional in three dimensions at weak coupling},
  author = {Sebastian Krug and Antonio Pineda},
  journal= {arXiv preprint arXiv:1301.6922},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-21T23:17:08.608Z