More on the infrared renormalization group limit cycle in QCD

Abstract

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.

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

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Cited by in corpus (22)

• Modern Theory of Nuclear Forces
• Nuclear effective field theory: status and perspectives
• Efimov States in Nuclear and Particle Physics
• alpha-alpha Scattering in Halo Effective Field Theory
• Dependence of nuclear binding on hadronic mass variation
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Efimov physics in a finite volume
• The triton in a finite volume
• Quark mass variation constraints from Big Bang nucleosynthesis
• On the modification of the Efimov spectrum in a finite cubic box
• Efimov Physics and Connections to Nuclear Physics
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Embedding nuclear physics inside the unitary window
• Efimov physics from a renormalization group perspective
• Pion-mass dependence of three-nucleon observables
• Efimov physics with $1/2$ spin-isospin fermions
• Effective range corrections from effective field theory with di-baryon fields and perturbative pions
• Limit cycles of effective theories
• Subleading contributions to the nuclear scalar isoscalar currents
• Effective theory with dibaryons and perturbative pions
• Three-body renormalization group limit cycles based on unsupervised feature learning
• Matching effective few-nucleon theories to QCD