Wilson lines in the operator definition of TMDs: spin degrees of freedom and renormalization

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, 2 figures. Invited talk given at the XIX International Workshop on Deep Inelastic Scattering (DIS 2011), 11 - 15 Apr

Scientific paper

A generalized idea of gauge invariance, that embodies into the Wilson lines the spin-dependent Pauli term $\sim F^{\mu\nu}[\gamma_\mu, \gamma_\nu]$, is applied to set up a new framework for the operator definition of transverse-momentum-dependent parton densities (TMDs). We show that such a treatment of gauge invariance is justified, since it does not change the leading-twist behavior of the TMDs, albeit it contributes to their twist-three properties, in particular, to their anomalous dimensions. We discuss other consequences of this generalization and its possible applications to lattice simulations of the TMDs.

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