Quantum field theory
Srednicki, Quantum field theory
Schwartz, Quantum field theory and the standard model
Weinberg, The quantum theory of fields, vols 1 & 2
Itzikson and Zuber, Quantum field theory
Fradkin, Quantum field theory: an integrated approach
Folland, Quantum field theory: a tourist guide for mathematicians
Talagrand, What is a quantum field theory ?
Algebraic and axiomatic QFT
Wightman and Streater, PCT, spin and statistics and all that
Haag, Local quantum physics
Araki, Mathematical theory of quantum fields
Brunetti et al, Advances in algebraic quantum field theory
Relevant mathematics
- functional analysis, operator theory and PDEs
- distribution theory
- measure and probability theory
- representations of Lie groups and Lie algebras
- some combinatorics
- some representation theory of associative algebras.
Special subjects