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The QCD rotator in the chiral limit

2009/09/30 by P. Hasenfratz · 1 citation
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Computer science #Constant (computer programming) #High-Energy Particle Collisions Research #Limit (mathematics) #Lying #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #hep-lat #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.11.015

published as Nucl.Phys.B828:201-214,2010 · 17 pages; typos are corrected and a paragraph added for better understanding; the present version is identical with the published paper in N.Phys.B. except a typo in eq(35) which is also corrected here

openalex publication_date 2009/11/21 · arxiv created 2010/01/05 · arxiv updated 2010/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The low lying spectrum of QCD in the delta-regime is calculated here in chiral perturbation theory up to NNL order. The spectrum has a simple form in terms of the pion decay constant F and a combination of the low energy constants Lambda1 and Lambda2. Since measuring low lying stable masses is among the easiest numerical tasks, the results should help fixing these parameters to good precision.

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