Rearranging Dyson-Schwinger Equations
Author： Karen Yeats
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470406127
P-ISBN(Paperback): 9780821853061
P-ISBN(Hardback): 9780821853061
Subject： O413.3 of the quantum many - body problem (核论)
Keyword： Mathematical Physics
Language： ENG
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Rearranging Dyson-Schwinger Equations
Description
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.