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

Markus Q. Huber
(
- Jena U., TPI and
- Darmstadt, Tech. Hochsch.
)
,
Jens Braun
(
- Jena U., TPI
)

Feb, 2011

50 pages

Published in:

Comput.Phys.Commun. 183 (2012) 1290-1320

e-Print:

1102.5307 [hep-th]

DOI:

10.1016/j.cpc.2012.01.014

View in:

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Abstract: (arXiv)

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.

Note:

40 pages, 12 figs./ corresponds to published version

11.15.Tk
11.10.-z
03.70.+k
Dyson-Schwinger equations
Functional renormalization group equations
Correlation functions
Quantum field theory
renormalization group: flow
symmetry: O(N)
Dyson-Schwinger equation

References(114)

Figures(0)

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