The clash of positivities in topological density correlators

Details The clash of positivities in topological density correlators The clash of positivities in topological density correlators

2005-03-15

arxiv.org/abs/hep-lat/0503015v2

Phys.Rev. D72 (2005) 094502

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages

Scientific paper

10.1103/PhysRevD.72.094502

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.

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