Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.
Process-independent strong running coupling
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abstract
We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the continuum theory. Using the latter, we explain and calculate a process-independent running-coupling for QCD, a new type of effective charge that is an analogue of the Gell-Mann--Low effective coupling in quantum electrodynamics. The result is almost identical to the process-dependent effective charge defined via the Bjorken sum rule, which provides one of the most basic constraints on our knowledge of nucleon spin structure. This reveals the Bjorken sum to be a near direct means by which to gain empirical insight into QCD's Gell-Mann--Low effective charge.
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A contact interaction model in the Dyson-Schwinger/Bethe-Salpeter framework produces elastic form factors for axial-vector mesons, with the electric form factor crossing zero at lower momentum than for vector mesons and charge radii decreasing with increasing dressed quark mass.
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Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.
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Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.
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A contact interaction model in the Dyson-Schwinger/Bethe-Salpeter framework produces elastic form factors for axial-vector mesons, with the electric form factor crossing zero at lower momentum than for vector mesons and charge radii decreasing with increasing dressed quark mass.