A control on quantum fluctuations in 2+1 dimensions
Jean Alexandre
TL;DR
This paper introduces a functional method to control quantum fluctuations via a mass parameter, revealing that the coupling constant in a 2+1 dimensional N=1 Wess-Zumino theory remains unrenormalized.
Contribution
It presents a novel functional approach linking quantum fluctuation control to renormalization, demonstrating non-renormalization of the coupling in a specific supersymmetric model.
Findings
Quantum fluctuations are controlled by a mass parameter.
The coupling constant does not receive quantum corrections.
The method connects fluctuation control to renormalization.
Abstract
A functional method is discussed, where the quantum fluctuations of a theory are controlled by a mass parameter and the evolution of the theory with this parameter is connected to its renormalization. It is found, in the framework of the gradient expansion, that the coupling constant of a N=1 Wess-Zumino theory in 2+1 dimensions does not get quantum corrections.
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