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
Elements for Physics: Quantities, Qualities, and Intrinsic Theoriesby Albert Tarantola - Springer
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
(16280 views)
Introduction to Spectral Theory of Schrödinger Operatorsby A. Pankov - Vinnitsa State Pedagogical University
Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.
(9306 views)
Applications of global analysis in mathematical physicsby Jerrold E. Marsden - Publish or Perish, inc
The book introduces some methods of global analysis which are useful in various problems of mathematical physics. The author wants to make use of ideas from geometry to shed light on problems in analysis which arise in mathematical physics.
(16240 views)
Step-by-Step BS to PhD Math/Physicsby Alex Alaniz - UC Riverside
These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics or physics.
(14059 views)