6533b826fe1ef96bd12845ff

RESEARCH PRODUCT

Dimensional Regularization. Ultraviolet and Infrared Divergences

Victor Ilisie

subject

PhysicsRenormalizationDimensional regularizationTheoretical physicsInfraredSimple (abstract algebra)Homogeneous spacemedicineQuantum field theoryLorentz covariancemedicine.disease_causeUltraviolet

description

The cornerstone of Quantum Field Theory is renormalization. We shall speak more about in the next chapters. Before, it is necessary to discuss the method. The best and most simple is, of course, dimensional regularization (doesn’t break the symmetries, doesn’t violate the Ward Identities, preserves Lorentz invariance, etc.). When explained consistently, it becomes very simple and clear. Here, we shortly discuss ultraviolet (UV) and infrared (IR) divergences with a few examples. However, in Chap. 8, we shall extensively treat one-loop two and three-point functions and analyse many more examples of IR and UV divergences.

yearjournalcountryeditionlanguage
2015-08-29
https://doi.org/10.1007/978-3-319-22966-9_6