The clash of positivities in topological density correlators
High Energy Physics - Lattice
2009-11-11 v2
Abstract
We discuss the apparent conflict between reflection positivity and positivity of the topological susceptibility in two-dimensional nonlinear sigma models and in four-dimensional gauge theories. We pay special attention to the fact that this apparent conflict is already present on the lattice; its resolution puts some nontrivial restrictions on the short-distance behavior of the lattice correlator. It is found that these restrictions can be satisfied both in the case of asymptotic freedom and the dissident scenario of a critical point at finite coupling.
Keywords
Cite
@article{arxiv.hep-lat/0503015,
title = {The clash of positivities in topological density correlators},
author = {Miguel Aguado and Erhard Seiler},
journal= {arXiv preprint arXiv:hep-lat/0503015},
year = {2009}
}
Comments
10 pages