On exact proper time Wilsonian RG flows
Alfio Bonanno, Stefan Lippoldt, Roberto Percacci, Gian Paolo Vacca
Abstract
Abstract We discuss the possibility to define exact RG equations for a UV regulated Wilsonian action based on a proper time (PT) regulator function. We start from a functional mapping which shows how each particular flow equation (and RG scheme) is associated to infinitely many scale dependent field redefinitions, which are related to specific coarse-graining procedures. On specializing to a sub-family of one parameter PT regulators we briefly analyze few results for the Ising Universality class in three dimensions, obtained within a second order truncation in the derivative expansion of the Wilsonian action.
Topics & Concepts
Universality (dynamical systems)Ising modelTruncation (statistics)Renormalization groupTime derivativeMathematicsApplied mathematicsAction (physics)PhysicsStatistical physicsScalingFlow (mathematics)Class (philosophy)Mathematical physicsMathematical analysisScale (ratio)Field (mathematics)Domain (mathematical analysis)Fixed pointDynamic equationExact solutions in general relativityOrder (exchange)Scaling lawTheoretical and Computational PhysicsHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle Interactions