More on the infrared renormalization group limit cycle in QCD

Details More on the infrared renormalization group limit cycle in QCD More on the infrared renormalization group limit cycle in QCD

2006-02-24

arxiv.org/abs/hep-ph/0602225v2

Eur.Phys.J.C48:169-178,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 7 figures, discussion improved, results unchanged, version to appear in EPJC

Scientific paper

10.1140/epjc/s10052-006-0004-x

We present a detailed study of the recently conjectured infrared renormalization group limit cycle in QCD using chiral effective field theory. It was conjectured that small increases in the up and down quark masses can move QCD to the critical trajectory for an infrared limit cycle in the three-nucleon system. At the critical quark masses, the binding energies of the deuteron and its spin-singlet partner are tuned to zero and the triton has infinitely many excited states with an accumulation point at the three-nucleon threshold. We exemplify three parameter sets where this effect occurs at next-to-leading order in the chiral counting. For one of them, we study the structure of the three-nucleon system in detail using both chiral and contact effective field theories. Furthermore, we investigate the matching of the chiral and contact theories in the critical region and calculate the influence of the limit cycle on three-nucleon scattering observables.

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