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arXiv · 2411.00106

The quark gap equation in light-cone gauge

Roberto Correa da Silveira·Fernando E. Serna·Bruno El-Bennich
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Abstract

We calculate the quark self-energy correction in light-cone gauge motivated by distribution amplitudes whose definition implies a Wilson line. The latter serves to preserve the gauge invariance of the hadronic amplitudes and becomes trivial in light-cone gauge. Therefore, the calculation of the distribution amplitudes simplifies significantly provided that wave functions and propagators are obtained in that gauge. In here, we explore the corresponding Dyson-Schwinger equation in its leading truncation and with a dressed vertex derived from a Ward identity in light-cone gauge. The quark's mass and wave renormalization functions, as well as a third complex-valued amplitude, are found to depend on the relative orientation of the quark momentum and a light-like four-vector, which expresses a geometric gauge dependence of the propagator.

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Roberto Correa da Silveira, Fernando E. Serna, Bruno El-Bennich. 2024-10-31. The quark gap equation in light-cone gauge. https://arxiv.org/abs/2411.00106

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