**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

**Little Magnetic Book**

by

**Nicolas Raymond**-

**arXiv**

'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.

(

**3787**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**11523**views)

**LieART: A Mathematica Application for Lie Algebras and Representation Theory**

by

**Robert Feger, Thomas W. Kephart**-

**arXiv**

We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.

(

**6708**views)

**Introduction to Physics for Mathematicians**

by

**Igor Dolgachev**

A set of class notes taken by math graduate students, the goal of the course was to introduce some basic concepts from theoretical physics which play so fundamental role in a recent intermarriage between physics and pure mathematics.

(

**12474**views)