Regularization in quantum field theories

Abstract

Introduction/purpose: The principal techniques of regularization schemes and their validity for gauge field theories are discussed. Methods: Schemes of dimensional regularization, Pauli–Villars and lattice regularization are discussed. Results: The Coleman–Mandula theorem shows which gauge theories are renormalizable. Conclusion: Some gauge field theories are renormalizable, the Standard Model in particular.

Keywords

• regularization
• renormalization
• gauge field theory
• coleman–mandula theorem