Strong decays and Adler selfconsistency condition in two-dimensional QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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LaTeX2e, 10 pages, 4 eps pictures, comment and one reference added

Scientific paper

10.1016/S0370-2693(00)00828-5

Strong mesonic decays are studied in the framework of the 't Hooft model for the two-dimensional QCD in the axial gauge. Special attention is payed to the processes with pions in the final state involved and the low energy theorems have been checked including the "Adler zero". It is demonstrated explicitly that in the chiral limit any three-meson decay amplitude with at least one pion vertex vanishes identically for any values of the external momenta. Ward identities for the dressed vector and axial-vector currents vertices are identified and their relationship to the pionic vertex are discussed.

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