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Perturbation theory for O(3) topological charge correlators

arXiv:hep-lat/0505004 · doi:10.1016/j.nuclphysb.2005.06.022

Abstract

To check the consistency of positivity requirements for the two-point correlation function of the topological charge density, which were identified in a previous paper, we are computing perturbatively this two-point correlation function in the two-dimensional O(3) model. We find that at the one-loop level these requirements are fulfilled.

v1: 27 pages, 7 figures; v2: 28 pages, 8 figures, matches published version