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Exact Renormalization Groups As a Form of Entropic Dynamics.
1Department of Physics, University at Albany-SUNY, Albany, NY 12222, USA.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
The Renormalization Group (RG) can be derived using entropic methods, offering a new perspective on RG flow as entropic dynamics. This approach links RG transformations to information theory and inferential principles.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
- Statistical Mechanics
Background:
- The Renormalization Group (RG) is crucial for problems with infinite degrees of freedom.
- Standard RG methods use coarse-graining or variable changes.
- RG transformations can be viewed as continuous dynamical flows.
Purpose of the Study:
- To derive exact Renormalization Group (RG) equations using entropic methods.
- To describe RG flow as a form of entropic dynamics.
- To establish a link between RG transformations and information theory.
Main Methods:
- Derivation of exact RG equations via entropic methods.
- Description of RG flow as entropic dynamics of field configurations.
- Utilizing principles from information theory for RG transformations.
Main Results:
- Exact RG equations are derived using entropic methods.
- RG flow is reinterpreted as entropic dynamics.
- RG transformations gain a purely inferential interpretation.
Conclusions:
- Entropic methods provide an alternative framework for RG.
- This approach connects RG to information theory and inferential dynamics.
- RG transformations are shown to have a clear inferential interpretation.
Keywords:
entropic dynamicsentropic inferenceexact renormalization groupmaximum entropyrenormalizationMore Related Videos
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