Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-09-10
Nucl.Phys.B480:73-98,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 latex pages plus 7 figures
Scientific paper
10.1016/S0550-3213(96)00485-3
Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend on the moment of the operator, are in agreement with recent explicit two and three loop perturbative calculations. An interesting aspect of the critical point approach which is used, is that the anomalous dimensions of the flavour singlet eigenoperators, which diagonalize the perturbative mixing matrix, are computed directly. We also elucidate the treatment of gamma^5 at the fixed point which is important in simplifying the calculation for polarized operators. Finally, the anomalous dimension of the singlet axial current is determined at O(1/N_f) by considering the renormalization of the anomaly in operator form.
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