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Quantum Dynamics from the Functional Renormalisation Group with a Temporal Regulator
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.
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500 Naturwissenschaften und Mathematik
500 Natural sciences and mathematics
530 Physik
530 Physics