Two-loop cutoff renormalization of 4-D Yang–Mills effective action
A V Ivanov, N V Kharuk
Abstract
Abstract In the paper we study the Yang–Mills effective action in the four-dimensional spacetime by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second β -function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained.
Topics & Concepts
CutoffRenormalizationSingularityRegularization (linguistics)PhysicsAction (physics)SpacetimeBackground field methodLogarithmEffective actionMathematicsField (mathematics)Mathematical physicsRenormalization groupFunction (biology)Measure (data warehouse)Functional renormalization groupSpace (punctuation)Space timeDimensional regularizationStatistical physicsTheoretical physicsQuantum field theoryQuantum electrodynamicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories