%0 Generic
%A Corell, Lukas
%C Heidelberg
%D 2021
%F heidok:30183
%R 10.11588/heidok.00030183
%T Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator
%U https://archiv.ub.uni-heidelberg.de/volltextserver/30183/
%X 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.