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Four-quark scatterings in QCD II

by Wei-jie Fu, Chuang Huang, Jan M. Pawlowski, Yang-yang Tan

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Submission summary

Authors (as registered SciPost users): Chuang Huang
Submission information
Preprint Link: https://arxiv.org/abs/2401.07638v3  (pdf)
Date accepted: 2024-10-23
Date submitted: 2024-10-10 10:14
Submitted by: Huang, Chuang
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Phenomenology
  • Nuclear Physics - Theory
Approaches: Theoretical, Phenomenological

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 ($s,t,u$-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.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Published as SciPost Phys. 17, 148 (2024)

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Comments

Chuang Huang  on 2024-10-10  [id 4857]

Category:
remark

List of changes: 1) Relevant discussions after Eq.(37) on page 7 and Eq.(C3) on page 17 of the paper have been added. 2) Minor typos corrected.