On the effective action for scalars in a general manifold to any loop order
Rodrigo Alonso, Mia West
Abstract
Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit field-space covariance. These results are of use in the characterization of effective field theories for electroweak symmetry breaking and extend a geometric perspective in field space beyond one loop.
Topics & Concepts
PhysicsEffective actionGeneral covarianceAction (physics)Scalar field theoryElectroweak interactionBackground field methodScalar (mathematics)GeneralizationMathematical physicsManifold (fluid mechanics)Loop (graph theory)Space (punctuation)Theoretical physicsClassical mechanicsGravitationMathematical analysisQuantum mechanicsQuantum gravityMathematicsGeometryCombinatoricsEngineeringMechanical engineeringLinguisticsPhilosophyQuantumParticle physics theoretical and experimental studiesCosmology and Gravitation TheoriesNeutrino Physics Research