TY - GEN AU - Baulieu, Laurent AU - Iliopoulos, John AU - Seneor, Roland TI - From Classical to Quantum Fields SN - 9780198788409 (PB) PY - 2017/// CY - Oxford PB - Oxford University Press KW - Quantum field theory KW - Classical Quantum field theory Textbooks N1 - Relativistic invariance The electromagnetic field General relativity: a field theory of gravitation The physical states Relativistic wave equations Towards a relativistic quantum mechanics Functional integrals and probabilistic amplitudes Functional integrals and quantum mechanics: formal developments The Euclidean functional integrals Fermions and functional formalism Relativistic quantum fields Applications Geometry and quantum dynamics Broken symmetries Quantum field theory at higher orders A first glance at renormalisation and symmetry Renormalisation of Yang-Mills theory and BRST symmetry Some consequences of the renormalisation group Analyticity properties of Feynman diagrams Infrared singularities Coherent states and classical limit of quantum electrodynamics Quantum field theories with a large number of fields The existence of field theories beyond the perturbation expansion Fundamental interactions Beyond the standard model Supersymmetry, or the defense of scalars Tensor calculus Differential calculus Groups and lie algebras A collection of useful formulae Extract from Maxwell's A treatise on electricity and magnetism N2 - Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles ER -