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primary topic: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator

Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator
type: Article
abstract: In this work, a framework for the computation of the time evolution of correlation functions is developed. For that purpose, techniques from the functional renormalisation group (fRG) are used, with the unique feature of a temporal regulator. This specific choice of regulator suppresses quantum fluctuations based on a time scale and yields causal properties for correlation functions. As a consequence, flow equations can always be integrated analytically, which in turn allows for the derivation of a one-loop exact functional relation for the inverse propagator. In addition to this formal result, the method is applied to the phi^3-theory, where the dynamics of the propagator is investigated. In this setup, the system is prepared far-from-equilibrium and the time evolution of the propagator is computed. Even in the simple truncation that is employed, there are already hints at a self-similar time evolution. In a separate part, three-dimensional Yang-Mills theory is examined in equilibrium. Due to the simpler computation as opposed to non-equilibrium scenarios, it is possible to investigate this theory in view of different truncations. This study reveals that truncations have to be chosen carefully in order to achieve apparent convergence.
date: 2021
author list: authors
type: EPrint
type: DoctoralThesisEPrint
is part of: repository
has document: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
has document: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (PDF)
subject: 500 Naturwissenschaften und Mathematik
subject: 530 Physik

Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (PDF)
type: Document
has file: corell_dissertation.pdf
has part: corell_dissertation.pdf

Lukas Corell
type: Person
given name: Lukas
family name: Corell

Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
type: Document
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Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
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Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
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Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
type: Document
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Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (Other)
type: Document
is version of: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (PDF)
is volatile version of: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator (PDF)
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HTML Summary of #30183 Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator
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primary topic: Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator

500 Naturwissenschaften und Mathematik
type: Concept
preferred label: 500 Natural sciences and mathematics @en

530 Physik
type: Concept
preferred label: 530 Physics @en