2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208165Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type approximations. The approach is based on a regularised version of the generating functional for correlation functions where times greater than a chosen cutoff time are suppressed. As a central result, a time evolution equation for the non-equilibrium effective action is derived, and the time-evolution of the Green functions is computed within a vertex expansion. It is shown that this agrees with the dynamics derived from the 1/N-expansion of the two-particle irreducible effective action.6 pages, RevTeX, 5 figures, published versionOther Condensed MatterHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext