Causal Perturbative Quantum Field Theory and the Standard Model

Abstract

We consider the general framework of perturbative quantum field theory for the general Yang-Mills model including massless and massive vector fields and also scalar and Dirac fields. We describe the chronological products using Wick submonomials and give rigorous proofs of gauge invariance for tree and loop contributions in the second order of the perturbation theory.

51 pages, extends the analysis from arXiv:2202.08056v2 [hep-th] to the standard model, some new details in section 4 dedicated to causal splitting of distributions