Feynman Diagrams and Differential Equations
by Mario Argeri, Pierpaolo Mastrolia
Publisher: arXiv 2007
Number of pages: 56
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:
by Cumrun Vafa, Eric Zaslow - American Mathematical Society
The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.
by Laszlo Erdos - 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.
by Cathleen S. Morawetz - Tata Institute Of Fundamental Research
Introduction to certain aspects of gas dynamics concentrating on some of the most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
by Roy McWeeny - Learning Development Institute
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).