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arXiv · 1906.07924

Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type

Igor Kondrashuk
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Abstract

We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling $\alpha$ with splitting functions given at a fixed order in $\alpha.$ Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present.

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Igor Kondrashuk. 2019-06-19. Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type. https://doi.org/10.1134/s1547477121020084

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