Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.
Mesons in a Poincare Covariant Bethe-Salpeter Approach
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abstract
We develop a covariant approach to describe the low-lying scalar, pseudoscalar, vector and axialvector mesons as quark-antiquark bound states. This approach is based on an effective interaction modeling of the non--perturbative structure of the gluon propagator that enters the quark Schwinger-Dyson and meson Bethe-Salpeter equations. We consistently treat these integral equations by precisely implementing the quark propagator functions that solve the Schwinger-Dyson equations into the Bethe-Salpeter equations in the relevant kinematical region. We extract the meson masses and compute the pion and kaon decay constants. We obtain a quantitatively correct description for pions, kaons and vector mesons while the calculated spectra of scalar and axialvector mesons suggest that their structure is more complex than being quark-antiquark bound states.
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2026 1verdicts
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Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
Varying interaction strength in DSE/BSE models produces meson degeneracies whose domains shrink with model realism, linked to quark propagator pole locations and possible chiral spin symmetry.