Four-quark scatterings in QCD II
arXiv:2401.07638 · doi:10.21468/SciPostPhys.17.5.148
Abstract
In [1], we initiated a program for the quantitative investigation of dynamical chiral symmetry breaking and resonant bound states in QCD with the functional renormalisation group, concentrating on the full infrared dynamics of four-quark scatterings. In the present work we extend this study and take into account a three-momentum channel approximation (-channel) for the Fierz-complete four-quark vertices. We find that the four-quark vertex in this approximation is quantitatively reliable. In particular, we have computed the pion pole mass, pion decay constant, Bethe-Salpeter amplitudes, the quark mass function and wave function. Our results confirm previous findings that low energy effective theories only reproduce QCD quantitatively, if initiated with a relatively low ultraviolet cutoff scale of the order of 500 MeV. The quantitative description set up here paves the way for reliable quantitative access to the resonance structure in QCD within the fRG approach to QCD.
arXiv comment20 pages, 19 figures; v3: minor typos corrected, extended some discussion
References in corpus (40)
- NJL-model analysis of dense quark matter
- Aspects of the Functional Renormalisation Group
- FLAG Review 2021
- The nonperturbative functional renormalization group and its applications
- Baryons as relativistic three-quark bound states
- The QCD phase structure at finite temperature and density
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
- Chiral symmetry breaking in continuum QCD
- Imaging dynamical chiral symmetry breaking: pion wave function on the light front
- Parton distributions and lattice QCD calculations: a community white paper
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
- Renormalization Flow of Bound States
- Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
- Light mesons in QCD and unquenching effects from the 3PI effective action
- From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
- 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
- QCD phase structure from functional methods
- Towards apparent convergence in asymptotically safe quantum gravity
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- Universality of spontaneous chiral symmetry breaking in gauge theories
- Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
- Exact flow equation for composite operators
- Fully coupled functional equations for the quark sector of QCD
- The Vacuum Structure of Vector Mesons in QCD
- QCD at finite temperature and density within the fRG approach: An overview
- Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
- Correlation functions of three-dimensional Yang-Mills theory from the FRG
- Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
- Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
- Bound state properties from the Functional Renormalisation Group
- Four-quark states from functional methods
- Emergent Hadrons and Diquarks
- Going to the light front with contour deformations
- Lattice Landau gauge quark propagator and the quark-gluon vertex
- Yang-Mills glueball masses from spectral reconstruction
- Four-quark scatterings in QCD I
- Scrutinizing scattering in light of recent lattice phase shifts