Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations -- from Wolfram Library Archive

Title

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

Authors

M. Q. Huber

Jens Braun

Journal / Anthology

Computer Physics Communications

Year:

2012

Volume:

183

Issue:

Page range:

1290-1320

Description

We present the Mathematica application DoFun1 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.

Subject

Unclassified

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