Perturbation theory for O(3) topological charge correlators

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.

arXiv commentv1: 27 pages, 7 figures; v2: 28 pages, 8 figures, matches published version

References in corpus (5)

• Off-Shell Dynamics of the O(3) Nonlinear Sigma-Model -- Beyond Monte-Carlo and Perturbation Theory
• The Euclidean two-point correlation function of the topological charge density
• Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions
• Questionable Arguments for the Correctness of Perturbation Theory in Non-Abelian Models
• The clash of positivities in topological density correlators

Cited by in corpus (2)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The clash of positivities in topological density correlators