%0 Generic
%A Stockemer, Jan Hendrik
%D 2016
%F heidok:20453
%R 10.11588/heidok.00020453
%T Functional renormalization group approach  to dynamic critical phenomena
%U https://archiv.ub.uni-heidelberg.de/volltextserver/20453/
%X In this thesis the real time functional renormalization group is applied to  investigate dynamic critical phenomena. In the first part, the established  method of the functional renormalization group as a tool for the calculation  of real time correlation functions is modified to properly incorporate the  thermal equilibrium initial conditions.  In the second part, this method is utilized to compute the dynamic critical  properties of a system of non-relativistic, bosonic particles. Our result  connect to a commonly applied effective description of dynamic critical phenomena.  The third part of the thesis extends these calculations to the relativistic  O(N) model. The convergence of parts of the truncation as well as the effects  of the chosen cutoff function are tested.  In the last part, the influence of conserved quantities on the dynamic critical  properties of a system is discussed. The dynamic universality class of Model  C as a simple, effective approximation of the effects of a conserved quantity  on the dynamic critical properties of a system is investigated.