FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS
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Publication:3504107
DOI10.1142/S0217751X07037147zbMATH Open1141.81325arXiv0707.4037OpenAlexW2026729036MaRDI QIDQ3504107
Author name not available (Why is that?)
Publication date: 11 June 2008
Published in: (Search for Journal in Brave)
Abstract: We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D. Finally, we treat two cases of less trivial differential equations, respectively associated to a two-loop three-point, and a four-loop two-point integral. These two examples are the playgrounds for showing more technical aspects about: Laurent expansion of the differential equations in D (around D=4); the choice of the boundary conditions; and the link among differential and difference equations for Feynman integrals.
Full work available at URL: https://arxiv.org/abs/0707.4037
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