TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.4.069
TI  - Four-quark scatterings in QCD I
PY  - 2023/04/13
UR  - https://scipost.org/SciPostPhys.14.4.069
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 4
SP  - 069
A1  - Fu, Wei-jie
AU  - Huang, Chuang
AU  - Pawlowski, Jan M.
AU  - Tan, Yang-yang
AB  - 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 $t$ 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.
ER  -

@Article{10.21468/SciPostPhys.14.4.069,
	title={{Four-quark scatterings in QCD I}},
	author={Wei-jie Fu and Chuang Huang and Jan M. Pawlowski and Yang-yang Tan},
	journal={SciPost Phys.},
	volume={14},
	pages={069},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.4.069},
	url={https://scipost.org/10.21468/SciPostPhys.14.4.069},
}