Renormalisation in Quantum Mechanics
H. Jirari, H. Kr\"oger, X.Q. Luo, G. Melkonyan, and K.J.M. Moriarty
TL;DR
This paper develops a renormalisation group framework for a temperature-dependent quantum action, providing analytical results at zero temperature and highlighting its potential for studying quantum chaos and instantons.
Contribution
It introduces a novel renormalisation group equation for the quantum action's parameters as a function of temperature, advancing the understanding of quantum systems.
Findings
Quantum action at zero temperature is analytically derived.
Quantum action is free of higher time derivatives at zero temperature.
The framework facilitates investigation of quantum chaos and instantons.
Abstract
We study a recently proposed quantum action depending on temperature. We construct a renormalisation group equation describing the flow of action parameters with temperature. At zero temperature the quantum action is obtained analytically and is found free of higher time derivatives. It makes the quantum action an ideal tool to investigate quantum chaos and quantum instantons.
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