Schreiber 65-409: Mathematical Quantum Field Theory

Content

This course is an introduction to the mathematically rigorous formulation of perturbative quantum field theory called perturbative AQFT.

Prerequisites

Basic background in differential geometry, Riemannian geometry and distribution theory will be assumed or briefly recalled.

Not necessary is background in operator algebra nor quantum mechanics nor informal quantum field theory, though of course this may help.

Coordinates

• Wed 16:15 - 17:45 in H3

and

• Fr 16:15 - 17.45 in H6

begin: Oct 20

Script

A detailed script is available, either as one consecutive webpage on the $n$Lab:

• geometry of physics – perturbative quantum field theory

or chapter-wise published on PhysicsForums-Insights:

• A first idea of Quantum Field Theory

References

• Ian Anderson: The variational bicomplex (Utah State University 1989)

• 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)

• Michael Dütsch, From classical field theory to perturbative quantum field theory (Birkhaeuser 2019)

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