Introduction to Gauge Field theory

Description

Content: Cover Half Title Title Page Copyright Page Dedication Table of Contents Preface to first edition Preface to revised edition 1: Path integrals Problem References 2: Path integrals in non-relativistic quantum mechanics 2.1 Transition amplitudes as path integrals 2.2 The ground-state-to-ground-state amplitude, W[J] 2.3 Ground-state expectation values from W[J] Problems References 3: Classical field theory 3.1 Euler-Lagrange equations 3.2 Noether's theorem 3.3 Scalar field theory 3.4 Spinor field theory 3.5 Massless vector field theory Problems References 8.5 Feynman rules for Yukawa interactions8.6 Massless fermions 8.7 Scattering amplitudes with fermions Problems References 9: Gauge field theories 9.1 Abelian gauge field theory 9.2 Non-Abelian gauge field theories 9.3 Field equations for gauge field theories References 10: Feynman rules for quantum chromodynamics and quantum electrodynamics 10.1 Quantum chromodynamics 10.2 Problems in quantising gauge field theories 10.3 An analogy with ordinary integrals 10.4 Quantisation of gauge field theory 10.5 Gauge fixing terms and Faddeev--Popov ghosts 10.6 Feynman rules for gauge field theories10.7 Scattering amplitudes with gauge fields Problems References 11: Renormalisation of QCD and QED at one-loop order 11.1 Counter terms for gauge field theories 11.2 Calculation of renormalisation constants 11.3 The electron anomalous magnetic moment Problems References 12: QCD and asymptotic freedom 12.1 The renormalisation group equation 12.2 Deep inelastic electron-nucleon scattering 12.3 The Wilson operator product expansion 12.4 Wilson coefficients and moments of structure functions