Rearranging Dyson-Schwinger Equations

Download or read book Rearranging Dyson-Schwinger Equations written by Karen Yeats and published by American Mathematical Soc.. This book was released on 2011 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dyson-Schwinger equations are integral equations in quantum field theory that describe the Green functions of a theory and mirror the recursive decomposition of Feynman diagrams into subdiagrams. Taken as recursive equations, the Dyson-Schwinger equations describe perturbative quantum field theory. However, they also contain non-perturbative information. Using the Hopf algebra of Feynman graphs the author follows a sequence of reductions to convert the Dyson-Schwinger equations to a new system of differential equations.