Logo

Feynman Diagrams and Differential Equations

Small book cover: Feynman Diagrams and Differential Equations

Feynman Diagrams and Differential Equations
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(680KB, PDF)

Similar books

Book cover: Lecture Notes on Quantum Brownian MotionLecture Notes on Quantum Brownian Motion
by - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
(9428 views)
Book cover: Mathematics for Theoretical PhysicsMathematics for Theoretical Physics
by - arXiv
This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.
(14209 views)
Book cover: Topics in Spectral TheoryTopics in Spectral Theory
by - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
(9033 views)
Book cover: A Mathematics Primer for Physics Graduate StudentsA Mathematics Primer for Physics Graduate Students
by
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
(24489 views)