Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

Markus Q. Huber; Jens Braun

doi:10.1016/j.cpc.2012.01.014

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arXiv · 1102.5307

Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

Markus Q. Huber·Jens Braun

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Abstract

We present the Mathematica application DoFun which allows to derive Dyson-Schwinger equations and renormalization group flow equations for n-point functions in a simple manner. DoFun offers several tools which considerably simplify the derivation of these equations from a given physical action. We discuss the application of DoFun by means of two different types of quantum field theories, namely a bosonic O(N) theory and the Gross-Neveu model.

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Markus Q. Huber, Jens Braun. 2012-02-08. Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations. https://doi.org/10.1016/j.cpc.2012.01.014

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