One-loop renormalization in Galileon effective field theory
Lavinia Heisenberg, Christian F. Steinwachs
Abstract
We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion. We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.
Topics & Concepts
ResummationPhysicsRenormalizationScalar (mathematics)Theoretical physicsEffective field theoryAsymptotic safety in quantum gravitySpacetimeScalar field theoryFunctional renormalization groupField (mathematics)Point (geometry)Field theory (psychology)Mathematical physicsQuantum electrodynamicsParticle physicsQuantum gravityQuantum chromodynamicsQuantum mechanicsQuantumPure mathematicsMathematicsGeometryCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsGalaxies: Formation, Evolution, Phenomena