How to renormalize integral equations with singular potentials in effective field theory
E. Epelbaum, A. M. Gasparyan, J. Gegelia, Ulf-G. Meißner, Xiu-Lei Ren
Abstract
Abstract We briefly review general concepts of renormalization in quantum field theory and discuss their application to solutions of integral equations with singular potentials in the few-nucleon sector of the low-energy effective field theory of QCD. We also describe a particular subtractive renormalization scheme and consider a specific application to a toy-model with a singular potential serving as its effective field theoretical leading-order approximation.
Topics & Concepts
RenormalizationQuantum field theoryMathematical physicsMathematicsFunctional renormalization groupEffective field theoryPhysicsField (mathematics)Field theory (psychology)Applied mathematicsQuantum mechanicsPure mathematicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesBlack Holes and Theoretical Physics