algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
This page is to record the reference:
From classical field theory to perturbative quantum field theory
Progress in Mathematical Physics,
Birkhaeuser (2019)
which is an introductory textbook on perturbative quantum field theory in its mathematically precise formulation known as perturbative algebraic quantum field theory, based on causal perturbation theory.
The book amplifies the axiomatization of retarded products over the (equivalent) time-ordered products and includes a special focus on master Ward identities.
Günter Scharf, Finite Quantum Electrodynamics – The Causal Approach, Springer (1995)
Günter Scharf, Quantum Gauge Theories – A True Ghost Story, Wiley (2001)
Kasia Rejzner: Perturbative Algebraic Quantum Field Theory, Springer (2016) [doi:10.1007/978-3-319-25901-7]
Urs Schreiber: Geometry of Physics – Perturbative Quantum Field Theory, lecture notes for a course Mathematical Quantum Field Theory, Hamburg University (2017) [pdf, PhysicsForums version]
Michael Dütsch, From classical field theory to perturbative quantum field theory, Birkhäuser (2018) [doi:10.1007/978-3-030-04738-2]
Last revised on September 27, 2025 at 20:11:02. See the history of this page for a list of all contributions to it.