The QCD rotator with a light quark mass

Abstract

The low-lying energy excitations of 2-flavour QCD in the chiral limit confined to a small spatial box ($\delta$-regime) are that of an $O(4)$ rotator. In this work, we calculate the corrections due to the presence of a nonzero quark mass up to NNL order by means of dimensional regularised chiral perturbation theory. The final result for the energy gap of the system only involves the low-energy constants $F$, ${\Lambda }_1$, ${\Lambda }_2$ and $B$.

13 pages

Cited by in corpus (5)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• The rotator spectrum in the delta-regime of the O(n) effective field theory in 3 and 4 dimensions
• Isospin susceptibility in the O($n$) sigma-model in the delta-regime
• Rotor Spectra and Berry Phases in the Chiral Limit of QCD on a Torus