Infrared dressing in real time: Emergence of anomalous dimensions

We implement a dynamical resummation method (DRM) as an extension of the renormalization group to study time evolution infrared dressing in nongauge theories. Super renormalizable and models feature divergences similar those theory at critical point, motivating improvement propagator that yields power-law decay survival probability $\ensuremath{\propto}{t}^{\ensuremath{-}\mathrm{\ensuremath{\Delta}}}$. The DRM confirms this decay, dressed state, determines anomalous dimension $\mathrm{\ensuremath{\Delta}}$ is completely determined by slope spectral density threshold independent ultraviolet behavior, suggesting certain universality for phenomena. state entangled charged massless quanta. entanglement entropy obtained tracing over unobserved Its DRM, finite, describes information flow from initial single particle asymptotic multiparticle state. show effective field theories axionlike particles coupled fermion fields do not provide criterion valid up one loop.