Four-quark scatterings in QCD I
arXiv:2209.13120 · doi:10.21468/SciPostPhys.14.4.069
Abstract
We investigate dynamical chiral symmetry breaking and the emergence of mesonic bound states from the infrared dynamics of four-quark scatterings. Both phenomena originate from the resonant scalar-pseudoscalar channel of the four-quark scatterings, and we compute the functional renormalisation group (fRG) flows of the Fierz-complete four-quark interaction of up and down quarks with its channel momentum dependence. This is done in the isospin symmetric case, also including the flow of the quark two-point function. This system can be understood as the fRG analogues of the complete Bethe-Salpeter equations and quark gap equation. The pole mass of the pion is determined from both direct calculations of the four-quark flows in the Minkowski regime of momenta and the analytic continuation based on results in the Euclidean regime, which are consistent with each other.
arXiv comment26 pages, 20 figures, 3 tables; v2: minor typos corrected
References in corpus (48)
- Aspects of the Functional Renormalisation Group
- Optimised Renormalisation Group Flows
- FLAG Review 2021
- The nonperturbative functional renormalization group and its applications
- Optimisation of the exact renormalisation group
- Baryons as relativistic three-quark bound states
- The QCD phase structure at finite temperature and density
- Collective perspective on advances in Dyson-Schwinger Equation QCD
- QCD at finite temperature and chemical potential from Dyson-Schwinger equations
- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
- Chiral symmetry breaking in continuum QCD
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Renormalization Flow of Bound States
- From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
- Nucleon mass from a covariant three-quark Faddeev equation
- Chiral phase structure of QCD with many flavors
- Chiral phase boundary of QCD at finite temperature
- Chiral phase structure and critical end point in QCD
- Nucleon electromagnetic form factors from the covariant Faddeev equation
- Universality of spontaneous chiral symmetry breaking in gauge theories
- Exact flow equation for composite operators
- Towards a renormalizable standard model without fundamental Higgs scalar
- The QCD Phase Boundary from Quark-Gluon Dynamics
- The Vacuum Structure of Vector Mesons in QCD
- Running coupling at finite temperature and chiral symmetry restoration in QCD
- Baryon number fluctuations at finite temperature and density
- Renormalization flow of QED
- QCD at finite temperature and density within the fRG approach: An overview
- FormTracer - A Mathematica Tracing Package Using FORM
- On the relevance of matter and glue dynamics for baryon number fluctuations
- Chiral Susceptibility in (2+1)-flavour QCD
- Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
- Beyond Miransky Scaling
- 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
- Signatures of Moat Regimes in Heavy-Ion Collisions
- Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
- Correlating the skewness and kurtosis of baryon number distributions
- Bound state properties from the Functional Renormalisation Group
- Four-quark states from functional methods
- Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
- Renormalization Group Studies of Dense Relativistic Systems
- Emergent Hadrons and Diquarks
- Bound states in Functional Renormalization Group
- Do Instantons Like a Colorful Background?
- Center phase transition from matter propagators in (scalar) QCD
- Renormalised spectral flows