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5. Theoretical Physics (CSN4)
Aspects of twist-2 superfield operators in N=1 SYM theory
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Europe/Rome
Aula A1 (Laboratori Nazionali di Frascati)
Aula A1
Laboratori Nazionali di Frascati
Description
Twist-2 operators are fundamental for the study of deep inelastic scattering in QCD because they dominate the operator product expansions on the light-cone. Recently, it was discovered that the Euclidean UV-asymptotic generating functional of the connected correlators of twist-2 operators provides highly nontrivial constraints on the yetto-come nonperturbative solution of large-N SU(N) YM theory. We extend these results to N=1 supersymmetric Yang-Mills (SYM) theory by providing a new construction of twist-2 operators in terms of covariant superfields. This construction is manifestly gauge-invariant and SUSY-covariant
and makes their one-loop renormalization and mixing properties considerably transparent. We compute
their asymptotic renormalization-group improved generating functional in Euclidean superspace and its planar and leading nonplanar large-N expansion. We verify that the leading nonplanar asymptotic renormalization-group improved generating functional matches the structure of logarithm of a functional superdeterminant of the corresponding nonperturbative object arising from the glueball/gluinoball effective action, which it should be asymptotic to at short distances because of the asymptotic freedom.