Analytic Bethe-Salpeter description of the lightest pseudoscalar mesons

Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states which show at least three indispensable general features-namely, the (almost) masslessness required for pions and kaons to...

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Bibliographic Details
Published in:Physical review. D 2016-03, Vol.93 (5), Article 056006
Main Authors: Lucha, Wolfgang, Schöberl, Franz F.
Format: Article
Language:English
Subjects:
Asymptotic properties
Bosons
Color
Cosmology
Formalism
Kaons
Mathematical analysis
Mesons
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Summary:Within the Bethe-Salpeter formalism for instantaneous interactions, we describe, along a totally analytic route, the lightest pseudoscalar mesons by quark-antiquark bound states which show at least three indispensable general features-namely, the (almost) masslessness required for pions and kaons to be interpretable as (pseudo-)Goldstone bosons, the suitable asymptotic behavior in the limit of large spacelike relative momenta as determined by the relationship between quark mass function and Bethe-Salpeter amplitudes, and a pointwise behavior for finite spacelike relative momenta suited for guaranteeing color confinement.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.056006