The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
Four-quark scatterings in QCD III
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
We study the full infrared dynamics of 2+1 flavour QCD with the functional renormalisation group approach. We resolve self-consistently the glue dynamics as well as the dynamics of chiral symmetry breaking. The computation hosts no phenomenological parameter or external input. The only ultraviolet input parameters are the physical ones in QCD: the light and strange quark masses. They are adjusted to the physical ratios of the pion and kaon masses, divided by the pion decay constant. The results for other observables of current first-principles computations are in quantitative agreement with the physical ones. This work completes the series of papers, initiated and furthered in [1,2], on dynamical chiral symmetry breaking and the emergence of mesonic bound states within the functional renormalisation group. As a first application we discuss the formation of light mesonic bound states. Amongst other applications such as the phase structure of QCD, the current work paves the way for studying QCD parton distribution functions within the functional renormalisation group approach to first-principles QCD.
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method 1
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representative citing papers
Including Fierz-complete four-quark interactions in fRG-QCD shifts the predicted critical endpoint to (T, μ_B) = (102, 647) MeV and slightly increases the phase boundary curvature to κ₂ = 0.0151, while confirming σ and π channels dominate except near the CEP.
A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconducting models.
Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.
fRG calculations show the jet quenching parameter hat q is enhanced above the chiral boundary and peaks near the QCD critical end point due to critical sigma fluctuations.
Kaon DA is single-peaked and asymmetric with moments ⟨ξ⟩_K = 0.020(3) and ⟨ξ²⟩_K = 0.253(12) after 1/P_z² and 1/P_z⁴ extrapolation of the quasi-DA.
The transverse quark-gluon vertex in Landau gauge QCD shows weak but non-negligible angular dependence with no planar degeneracy; the dynamically generated tensor coupling is the core driver of dynamical chiral symmetry breaking in a self-consistent 3PI DSE system.
citing papers explorer
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All-loop four-quark Bethe-Salpeter kernel
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
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Fierz-complete four-quark interactions and the QCD phase diagram
Including Fierz-complete four-quark interactions in fRG-QCD shifts the predicted critical endpoint to (T, μ_B) = (102, 647) MeV and slightly increases the phase boundary curvature to κ₂ = 0.0151, while confirming σ and π channels dominate except near the CEP.
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Scalar diquarks in the QCD vacuum
A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconducting models.
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Physics-informed operator flows and observables
Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.
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Functional renormalization group study of the jet quenching parameter near the QCD critical end point
fRG calculations show the jet quenching parameter hat q is enhanced above the chiral boundary and peaks near the QCD critical end point due to critical sigma fluctuations.
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Kaon Distribution Amplitudes from Euclidean Functional QCD
Kaon DA is single-peaked and asymmetric with moments ⟨ξ⟩_K = 0.020(3) and ⟨ξ²⟩_K = 0.253(12) after 1/P_z² and 1/P_z⁴ extrapolation of the quasi-DA.
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No planar degeneracy for the Landau gauge quark-gluon vertex
The transverse quark-gluon vertex in Landau gauge QCD shows weak but non-negligible angular dependence with no planar degeneracy; the dynamically generated tensor coupling is the core driver of dynamical chiral symmetry breaking in a self-consistent 3PI DSE system.