1. Imaginary Parts and Discontinuities of Wilson Line Correlators
- Author
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Laenen, Eric, Larsen, Kasper J., Rietkerk, Robbert, Sub String Theory Cosmology and ElemPart, Theoretical Physics, Sub String Theory Cosmology and ElemPart, Theoretical Physics, and Theoretical High Energy Physics (IHEF, IoP, FNWI)
- Subjects
Physics ,Quantum chromodynamics ,High Energy Physics - Theory ,Gauge boson ,Eikonal equation ,RENORMALIZATION ,EXPONENTIATION ,Diagram ,General Physics and Astronomy ,FOS: Physical sciences ,ORDER ,Classification of discontinuities ,Space (mathematics) ,QCD ,CROSS-SECTIONS ,Renormalization ,UNITARITY ,Theoretical physics ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Theory (hep-th) ,Quantum electrodynamics ,Line (geometry) ,LOOP AMPLITUDES - Abstract
We introduce a notion of position-space cuts of eikonal diagrams, the set of diagrams appearing in the perturbative expansion of the correlator of a set of straight semi-infinite Wilson lines. The cuts are applied directly to the position-space representation of any such diagram and compute its imaginary part to the leading order in the dimensional regulator. Our cutting prescription thus defines a position-space analog of the standard momentum-space Cutkosky rules. Unlike momentum-space cuts which put internal lines on shell, position-space cuts constrain a number of the gauge bosons exchanged between the energetic partons to be lightlike, leading to a vanishing and a non-vanishing imaginary part for space- and timelike kinematics, respectively., Comment: 5 pages, 2 figures; minor changes; version published in PRL
- Published
- 2015