Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Phenomenology
Abstract
Two different scenarios (light-front and equal-time) are possible for Yang-Mills theories in two dimensions. The exact -potential can be derived in perturbation theory starting from the light-front vacuum, but requires essential instanton contributions in the equal-time formulation. In higher dimensions no exact result is available and, paradoxically, only the latter formulation (equal-time) is acceptable, at least in a perturbative context.
Cite
@article{arxiv.hep-th/9911208,
title = {Two-dimensional Yang-Mills theory: perturbative and instanton contributions, and its relation to QCD in higher dimensions},
author = {A. Bassetto},
journal= {arXiv preprint arXiv:hep-th/9911208},
year = {2009}
}
Comments
latex 10 pages, no figures. Plenary session talk at the Meeting ``Constrained dynamics and quantum gravity 99'', Villasimius (Sardinia-Italy) September 13-17, 1999; minor changes