Step towards a consistent treatment of chiral theories at higher loop order: The abelian case
Adriano Cherchiglia
Abstract
As recently pointed out, regularization schemes defined in four-dimensions may also face inconsistencies in the presence of chiral fermions. In this work, we extend this analysis to two-loop order. Adopting the implicit regularization as working arena, we discuss in detail how a consistent version of the method can be envisaged, and present many of the subtleties that appear at two-loop order using an abelian chiral model as working example.
Topics & Concepts
Regularization (linguistics)Abelian groupLoop (graph theory)Dimensional regularizationFermionTheoretical physicsOrder (exchange)PhysicsComputer scienceMathematicsRenormalizationPure mathematicsMathematical physicsParticle physicsArtificial intelligenceCombinatoricsEconomicsFinanceBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesCosmology and Gravitation Theories