0:01 Peskin & Schroeder - An Introduction to Quantum Field Theory 0:44 Schwartz - Quantum Field Theory and the Standard Model 1:43 Talagrand - What Is a Quantum Field Theory? 2:45 Tong - Lectures on Quantum Field Theory (available online U of Cambridge website) 2:50 Srednicki - Quantum Field Theory
Probably Complex Analysis and Fourier Transforms are the most important... alongside calculus of variations that comes with classical field theory... although it is hard to say. The biggest prerequisites are Physics. Namely you want to have some background in Classical Mechanics (Field Theory), Special Relativity, Quantum Mechanics, and Electromagnetism. To read Talagrands book, however, you just need an undergrad math background (familiarity with introductory real analysis, algebra, point set topology, complex analysis).
i highly recommend R.Klauber Student friendly Quantum field theory. This book is the best for qft, i have ever seen in my life. 1) qft for quantum electrodynamics 2) Standard Model (electroweak,strong interaction)
I am absolutely not an expert of TQFTs but I am a homotopy theorist who has been trying to learn more about them recently. But I think a lot of people like Frobenius Algebras and 2-d Topological Quantum Field Theories by Kock. The parts I've read are nice. I have also started reading some of Monoidal Categories and Topological Field Theory by Turaev and Virelizier. It's great if you're like me and love category theory and if you want to see what people mean when they talk about things like fusion categories.
0:01 Peskin & Schroeder - An Introduction to Quantum Field Theory
0:44 Schwartz - Quantum Field Theory and the Standard Model
1:43 Talagrand - What Is a Quantum Field Theory?
2:45 Tong - Lectures on Quantum Field Theory (available online U of Cambridge website)
2:50 Srednicki - Quantum Field Theory
Michel Talagrand is a top-class mathematician and the 2024 Abel Prize winner!
You’re killing it with these book reviews
I personally studied through Peskin the fact that solution sheet exists really helped.
Great video! What are the math prerequisites for quantum field theory? Thanks 🙏🙏🙏
Probably Complex Analysis and Fourier Transforms are the most important... alongside calculus of variations that comes with classical field theory... although it is hard to say. The biggest prerequisites are Physics. Namely you want to have some background in Classical Mechanics (Field Theory), Special Relativity, Quantum Mechanics, and Electromagnetism.
To read Talagrands book, however, you just need an undergrad math background (familiarity with introductory real analysis, algebra, point set topology, complex analysis).
@@oceansofmath Group/representation theory is also quite important
@@oceansofmath thanks! Mathematically it doesn't seem so demanding... Why is it considered such a difficult subject, in your opinion?
There have been several formalizations of the path integral, check out the book "Mathematical Feynman Path Integrals and their Applications"
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i highly recommend R.Klauber Student friendly Quantum field theory. This book is the best for qft, i have ever seen in my life.
1) qft for quantum
electrodynamics
2) Standard Model (electroweak,strong interaction)
Can you a video of what is inside the Talagrand book
There is a pdf of the table of contents online. I might make a video later this week.
Do you know anything about Topological Quantum Field Theory? I mean the mathematical Theory, any suggestions ?
I am absolutely not an expert of TQFTs but I am a homotopy theorist who has been trying to learn more about them recently. But I think a lot of people like Frobenius Algebras and 2-d Topological Quantum Field Theories by Kock. The parts I've read are nice. I have also started reading some of Monoidal Categories and Topological Field Theory by Turaev and Virelizier. It's great if you're like me and love category theory and if you want to see what people mean when they talk about things like fusion categories.
Very nice sir.
⌚️ this im gonna trigger an old bell....Bohmian field theory
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