Advanced Quantum Field Theory

Introduction What is quantum field theory Building a quantum field theory QFT in zero dimensions Free theories Interacting theories Feynman diagrams An effective theory Fermions QFT in one dimension (i.e. QM) Quantum mechanics Feynman rules Effective quantum field theory Quantum gravity in one dimension Symmetries of the path integral Ward identities The Ward–Takahashi identity Wilsonian renormalization Background setting Integrating out modes Correlation functions and anomalous dimensions Renormalization group flow Taking the continuum limit Calculating RG evolution Perturbative renormalization Cutoff regularization Dimensional regularization Renormalization of the phi4 coupling Renormalization of QED Non-abelian gauge theory Bundles, connections and curvature Yang–Mills theory Quantum Yang–Mills theory Faddeev–Popov ghosts BRST symmetry and cohomology Feynman rules for Yang–Mills Renormalization of Yang–Mills theory Index