I have started reading PCT, Spin and Statistics, and All That. Are there any more recent texts that I should be looking at instead?
Thanks! Got it on order.DrDu said:R. Haag, Local quantum physics, is a classic.
dextercioby said:There are usually 3 texts: Haag's is the most recent and emphasizes the algebraic C*/W* approach. The natural follow-up to <PCT, Spin and Statistics, and All That> is Bogolubov's et al. text of 1975: https://www.amazon.com/dp/B000IM4HLS/?tag=pfamazon01-20 which is hard to get, but may be available in a good library.
Modern axiomatic quantum field theory is a mathematical framework used to describe the behavior of quantum fields, which are the fundamental building blocks of our universe. It combines the principles of quantum mechanics and special relativity to describe the interactions between particles and fields.
This theory is intended for beginners in the field of quantum field theory who have a basic understanding of quantum mechanics and special relativity. It can also be useful for advanced students and researchers looking to deepen their understanding of the subject.
The main concepts covered in modern axiomatic quantum field theory include the quantization of fields, the role of symmetries in quantum field theory, and the concept of renormalization. It also delves into the mathematical foundations of quantum field theory, such as the operator formalism and path integrals.
Modern axiomatic quantum field theory differs from other approaches in that it focuses on the mathematical foundations of the theory rather than specific physical applications. It also places a strong emphasis on the rigorous formulation of quantum field theory, using axioms and mathematical structures to describe the theory.
Some recommended texts for beginners in modern axiomatic quantum field theory include "Quantum Field Theory for the Gifted Amateur" by Tom Lancaster and Stephen J. Blundell, "Quantum Field Theory: A Modern Perspective" by V. P. Nair, and "Quantum Field Theory: A Tourist Guide for Mathematicians" by Gerald B. Folland.