Marcus Huber (Graz)
Symbolic Derivation of DysonSchwinger Equations using Mathematica
Abstract:
The equations of motions of Green functions,
the socalled DysonSchwinger equations, are a main tool for investigating the
nonperturbative regimes of quantum field theories. The derivation becomes tedious as
soon as one goes for higher vertex functions or when there are many different interactions.
Using symbolic notation this can be done using simple algorithms leading to a considerable
speedup of the process. The method is suited to be cast into a symbolic programming
language like Mathematica which also provides tools for producing the corresponding
Feynman graphs. Given a Lagrangian and its symmetries the derivation of an arbitrary
DysonSchwinger equation is possible.
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