**Feynman Diagrams and Differential Equations**

by Mario Argeri, Pierpaolo Mastrolia

**Publisher**: arXiv 2007**Number of pages**: 56

**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.

Download or read it online for free here:

**Download link**

(680KB, PDF)

## Similar books

**Lectures on the Singularities of the Three-Body Problem**

by

**C.L. Siegel**-

**Tata Institute of Fundamental Research**

From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).

(

**9624**views)

**Random Matrices**

by

**B. Eynard**-

**arXiv.org**

This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.

(

**11223**views)

**The Landscape of Theoretical Physics**

by

**Matej Pavsic**-

**arXiv**

This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, and much more.

(

**14158**views)

**Partial Differential Equations of Mathematical Physics**

by

**William W. Symes**-

**Rice University**

This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.

(

**15952**views)