Constraints on chiral perturbation theory parameters from QCD inequalities

1995/07/31 by Jordi Comellas, José Ignacio Latorre, Jose I. Latorre +1 · 5 citations
Physics and Astronomy · #Chiral perturbation theory #Fermion #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph

paper · pdf · doi:10.1016/0370-2693(95)01110-c

published as Phys.Lett. B360 (1995) 109-116 · 11 pages, LaTeX. Composite operator renormalization factors were missing in the original version

arxiv created 1995/09/05 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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)≤ B₀(μ) Z(μ). The use of further properties of the exact fermion propagator yields information on some higher order parameters.

Citations

• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark

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