Universal Definition of the Nonconformal Trace Anomaly
Renata Ferrero, S. A. Franchino-Viñas, Markus B. Fröb, William C. C. Lima
Abstract
We show that there exists a generalized, universal notion of the trace anomaly for theories which are not conformally invariant at the classical level. The definition is suitable for any regularization scheme and clearly states to what extent the classical equations of motion should be used, thus resolving existing controversies surrounding previous proposals. Additionally, we exhibit the link between our definition of the anomaly and the functional Jacobian arising from a Weyl transformation.
Topics & Concepts
TRACE (psycholinguistics)Regularization (linguistics)Invariant (physics)Jacobian matrix and determinantAnomaly (physics)Theoretical physicsTransformation (genetics)PhysicsMathematicsMathematical physicsComputer scienceApplied mathematicsQuantum mechanicsArtificial intelligencePhilosophyLinguisticsGeneBiochemistryChemistryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories