Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
Markus Q. Huber, Jens Braun
TL;DR
The paper introduces DoFun, a Mathematica tool that simplifies deriving Dyson-Schwinger and renormalization group equations for quantum field theories, demonstrated on bosonic and fermionic models.
Contribution
The paper presents a new computational tool, DoFun, that automates the derivation of complex equations in quantum field theory, enhancing efficiency and accessibility.
Findings
DoFun simplifies derivation of Dyson-Schwinger equations.
DoFun effectively derives RG flow equations for different models.
Application examples include bosonic O(N) and Gross-Neveu models.
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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