Feynman Diagrams and Differential Equations
| dc.creator | Argeri, Mario | |
| dc.creator | Mastrolia, Pierpaolo | |
| dc.date | 2007-07-27 | |
| dc.date.accessioned | 2026-07-07T10:56:56Z | |
| dc.date.available | 2026-07-07T10:56:56Z | |
| dc.description | 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. | |
| dc.description | invited review article from Int. J. Mod. Phys. A | |
| dc.identifier | https://arxiv.org/abs/0707.4037 | |
| dc.identifier | http://arxiv.org/abs/0707.4037 | |
| dc.identifier | Int.J.Mod.Phys.A22:4375-4436,2007 | |
| dc.identifier | doi:10.1142/S0217751X07037147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186583 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Feynman Diagrams and Differential Equations | |
| dc.type | text |