Constraints on Chiral Perturbation Theory Parameters from QCD Inequalities
arXiv:hep-ph/9507258 · doi:10.1016/0370-2693(95)01110-C
Abstract
We explore some of the constraints imposed by positivity of the QCD measure (Weingarten's inequalities) on the parameters defining chiral perturbation theory. We find, in particular, that $2 m_q (μ)\leq B_0(μ) Z(μ)$. The use of further properties of the exact fermion propagator yields information on some higher order parameters.
11 pages, LaTeX. Composite operator renormalization factors were missing in the original version