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Results for the global approach to quantum field theory
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9 votes

Geometry of Yang-Mills theory

Hands down, the best reference book to learn about gauge theories is DeWitt's The Global Approach to Quantum Field Theory. … In this book you can find the most general formulation of both classical and quantum field theories, and a thorough discussion of essentially every related subtopic. …
4 votes
1 answer
469 views

A moment of cohomology$.$

Ref.1), the momentum operator is defined up to a time-independent closed form. … DeWitt - The global approach to quantum field theory, chapter 11. …
AccidentalFourierTransform's user avatar
10 votes
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Modern treatment of effective QFT in curved spacetime

Objectively speaking, the best book on QFT in curved spacetime is DeWitt's The Global Approach to Quantum Field Theory (2003). … In this book you will find a very thorough and up-to-date discussion of AQFT and its applications to, among others, quantum field theory in a curved background. …
97 votes

What is a complete book for introductory quantum field theory?

Mark Srednicki, Quantum Field Theory. … The philosophy of the book is great, and the level of detail and rigour is always adequate. Very good book altogether. DeWitt B.S., The global approach to quantum field theory. …
3 votes
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How is Schwinger's quantum action principle related to least action?

As the variational principle is completely equivalent to the functional integral, the physical interpretation is the same: the amplitude for any given field configuration is a phase, determined by the … . - The global approach to quantum field theory Vol.1. …
AccidentalFourierTransform's user avatar
14 votes
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Conserved charges and generators

We use a notation adapted to classical field theory rather than point-particle mechanics, but the former includes the latter as a special sub-case so we are losing no generality. … References Bryce DeWitt, The Global Approach to Quantum Field Theory. …
AccidentalFourierTransform's user avatar
12 votes
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Gauge invariance is just a redundancy. Why is massive abelian gauge field renormalizable but...

In general how to prove that massive abelian gauge field is renormalizable but massive non-abelian gauge field nonrenormalizable? … DeWitt's The Global Approach to QFT, Vol.1. …
AccidentalFourierTransform's user avatar
9 votes

Faddeev-Popov Gauge-Fixing in Electromagnetism

, and the propagator is well-defined; the quantum-mechanical theory is safe and healthy. … References DeWitt, The global approach to quantum field theory, chapters 2-6. …
AccidentalFourierTransform's user avatar
13 votes
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How to calculate an axial anomaly in 1+1 dimensions?

If the integration measure $\mathrm d\psi\,\mathrm d\bar\psi$ were invariant as well, we would conclude that the current is also conserved in the quantum theory. … Weinberg S. - Quantum theory of fields, Vol.2, chapter 22. Peskin, Schroeder - An introduction To Quantum Field Theory, chapter 19. …
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