Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-26
Acta Phys.Polon. B32 (2001) 1201-1224
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, 5 figures included using epsf
Scientific paper
In the framework of the chiral quark-soliton model of the nucleon we investigate the properties of the polarized quark distribution. In particular we analyse the so called anomalous difference between the representations of the quark distribution functions in terms of occupied and non-occupied quark states. By an explicit analytical calculation it is shown that this anomaly is absent in the polarized isoscalar distribution \Delta u + \Delta d, which is ultaviolet finite. In the case of the polarized isovector quark distribution \Delta u - \Delta d the anomaly can be cancelled by a Pauli-Villars subtraction which is also needed for the regularization of the ultraviolet divergence.
Goeke Klaus
Pobylitsa P. V.
Polyakov Maxim V.
Schweitzer Pascal
Urbano Diana
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