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Rearranging Dyson-Schwinger Equations, PDF eBook

Rearranging Dyson-Schwinger Equations PDF

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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.

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