Resolving the Bethe–Salpeter Kernel
Si-Xue Qin1* and Craig D. Roberts2,3*
1 Department of Physics, Chongqing University, Chongqing 401331, China2 School of Physics, Nanjing University, Nanjing 210093, China3 Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, China
Abstract ：A novel method for constructing a kernel for the meson bound-state problem is described. It produces a closed form that is symmetry-consistent (discrete and continuous) with the gap equation defined by any admissible gluon-quark vertex, $\varGamma$. Applicable even when the diagrammatic content of $\varGamma$ is unknown, the scheme can foster new synergies between continuum and lattice approaches to strong interactions. The framework is illustrated by showing that the presence of a dressed-quark anomalous magnetic moment in $\varGamma$, an emergent feature of strong interactions, can remedy many defects of widely used meson bound-state kernels, including the mass splittings between vector and axial-vector mesons and the level ordering of pseudoscalar and vector meson radial excitations.
收稿日期: 2021-05-18
出版日期: 2021-06-07
:
11.10.St
(Bound and unstable states; Bethe-Salpeter equations)
11.30.Rd
(Chiral symmetries)
12.38.Lg
(Other nonperturbative calculations)
24.85.+p
(Quarks, gluons, and QCD in nuclear reactions)
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2021, Vol. 38 
