Conference paper
Bethe-Salpeter and Dyson-Schwinger equations in a Wilson loop context in QCD, effective mass operator, , qq¯ spectrum
M. Baldicchi
G. M. Prosperi
Abstract
We briefly discuss the quark-antiquark Bethe-Salpeter equation and the quark Dyson-Schwinger equation derived in preceding papers. We also consider the qq¯ quadratic mass operator M2 = (w1 + w2) 2 + U obtained by a three-dimensional reduction of the BS equation and the related approximate centre-of-mass Hamiltonian or linear-mass-operator HCM ≡ M = w1 + w2 + V + .... We review previous results on the spectrum and the Regge trajectories obtained by an approximate diagonalization of HCM and report new results similarly obtained for the original M2 . We show that in both cases we succeed to reproduce fairly well the entire meson spectrum in the cases in which the numerical calculations were actually practicable and with the exception of the light pseudoscalar states (related to the chiral symmetry problematic). A small rearrangement of the parameters and the use of a running coupling constant is necessary in the M2 case.
Keywords
quark-antiquark systems; Bethe-Salpeter equation; quark Dyson-Schwinger equation; qq¯ quadratic mass operator; meson spectrum; Regge trajectories
Hrčak ID:
305349
URI
Publication date:
1.6.1999.
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