Nakanishi integral representation for the quark-photon vertex
Abstract
Using a nonperturbative framework of Dyson-Schwinger equations a class of Nakanishi's like integral representations for the transverse part of the quark-photon vertex is derived. For this but also for its own purpose the two and single variable integral representations for untruncated quark-antiquark-photon vertex is proposed as well. To exhibit the adequacy of proposed representation, the Dyson-Schwinger equation for the vertex is transformed into the equivalent set of coupled integro-differential equations for Nakanishi weight functions: functions that appear linearly in the numerator of given integral representation. Their knowledge then provide self-consistent nonperturbative solution for the vertex in the entire Minkowski space.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2019
- DOI:
- 10.48550/arXiv.1909.03043
- arXiv:
- arXiv:1909.03043
- Bibcode:
- 2019arXiv190903043S
- Keywords:
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- High Energy Physics - Phenomenology;
- Nuclear Theory