Final state interactions and gauge invariant parton distributions

By A. Belitsky, X. Ji, F. Yuan. 2002

400 citations recorded by the source corpus.

Parton distributions contain factorizable final state interaction effects originating from the fast-moving struck quark interacting with the target spectators in deeply inelastic scattering. We show that these interactions give rise to gauge invariance of the transverse momentum-dependent parton distributions. As compared to previous analyses, our study demonstrates the existence of extra scaling contributions from transverse components of the gauge potential at the light-cone infinity. They form a transverse gauge link which is indispensable for restoration of the gauge invariance of parton distributions in the light-cone gauge where the gauge potential does not vanish asymptotically. Our finding helps to explain a number of features observed in a model calculation of structure functions in the light-cone gauge.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5ec6ae8c61b550335e8b4b83cc05e26a85b50352

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In Nuclear and High Energy Physics

1. Andreas Schäfer
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4. I. Rothstein
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7. J. Collins
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Citations in the corpus

• A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory (2012, background): “21) guage invariant requires a transverse gauge link at infinity [57–63] connecting the collinear Wilson lines, Wn(x +) and Wn(0), hiding inside Bn⊥ fields.”
• k T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions (2007, methodology): “This includes complications concerning gauge links at infinity [22], when a Wilson line formalism is used.”
• Semi-inclusive processes at low and high transverse momentum (2008, background): “Consideration of gluons collinear to the target yields Wilson lines with paths that point along n− and lead to light-cone infinity, a− = ±∞, where they are closed by transverse segments from 0T to ξT [13, 47].”
• Generalized parton correlation functions for a spin-0 hadron (2008, neutral): “Contents”
• Elements of a theory for multiparton interactions in QCD (2011, background): “The same issue already arises for single-parton distributions and has been discussed in [114, 115] for lightlike Wilson lines, i.”