Coordinate-space singularities of massless gauge theories

Abstract

The structure of singularities in perturbative massless gauge theories is investigated in coordinate space. The pinch singularities in coordinate-space integrals occur at configurations of vertices which have a direct interpretation in terms of physical scattering of particles in real space-time in the same way as for the loop momenta in the case of momentum-space singularities. In the analysis of vertex functions in coordinate space, the well-known factorization into hard, soft, and jet functions is found. By power-counting arguments, it is found that coordinate-space integrals of vertex functions have logarithmic divergences at worst.

42 pages, 6 figures. v2: Figure 6 corrected, matches published version

References in corpus (3)

• Conformal properties of four-gluon planar amplitudes and Wilson loops
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Scattering amplitudes: the most perfect microscopic structures in the universe

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