The dynamo effect - A dynamic renormalisation group approach
Abhik Basu, and Jayanta K Bhattacharjee
TL;DR
This paper rigorously derives the dynamo equation for magnetic field generation in astrophysics using an operator product expansion and a dynamic renormalisation group approach, providing new theoretical insights.
Contribution
It introduces a rigorous derivation of the dynamo equation via OPE and RG methods, advancing theoretical understanding of magnetic field evolution.
Findings
Derived the dynamo equation using OPE
Calculated OPE coefficients with RG techniques
Analyzed time evolution of seed magnetic fields
Abstract
The Dynamo effect is used to describe the generation of magnetic fields in astrophysical objects. However, no rigorous derivation of the dynamo equation is available. We justify the form of the equation using an Operator Product Expansion (OPE) of the relevant fields. We also calculate the coefficients of the OPE series using a dynamic renormalisation group approach and discuss the time evolution of the initial conditions on the initial seed magnetic field.
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