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Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation

A. Bender·C. D. Roberts·L. v. Smekal
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Abstract

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless. Quark-quark (diquark) correlations, which are bound in rainbow-ladder approximation, are destabilised by repulsive contributions that only appear at higher order in the Bethe-Salpeter kernel. The net effect of higher order terms on the meson bound-state masses is small.

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A. Bender, C. D. Roberts, L. v. Smekal. 1996-02-07. Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation. https://doi.org/10.1016/0370-2693(96)00372-3

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