Quantum Field Theory: Project Topic Ideas

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The discussion centers on project topic ideas for a course in Quantum Field Theory (QFT). Suggestions include exploring QFT in curved space and higher spins, though it's emphasized that a solid understanding of QFT in flat Minkowski space is essential before tackling more complex topics. One recommended project is to investigate asymptotic freedom in Quantum Chromodynamics (QCD) at the one-loop level, which involves the renormalization group. The background field gauge is highlighted as a useful approach, simplifying calculations by focusing on self-energy diagrams. Overall, the conversation underscores the importance of selecting a topic that aligns with the student's current understanding and available time.
shereen1
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Dear All
I am currently taking " Introduction to Quantum field theory", And I have to do a project by the end of the course. I have searched and i find : QFT in curved space, QFT for higher spins... But i need other suggestion of topics I can do as a project. Thank you
 
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I'd not say that QFT in curved space is "introductory". First one should get a good understanding of QFT in (flat) Minkowski space. Also to give ideas, one should know about the expected level of the project and how much effort you want/have to put into it.
 
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vanhees71 said:
I'd not say that QFT in curved space is "introductory". First one should get a good understanding of QFT in (flat) Minkowski space. Also to give ideas, one should know about the expected level of the project and how much effort you want/have to put into it.
Thank you.
In fact it is not so introductory. And i am studying it deeply and in details using Weinberg. I have 1 month to finish it. I just need a good and interesting topic to work on.
Thank you for your reply.
 
Ok, then a nice topic is perhaps to understand asymptotic freedom of QCD at the one-loop level. You need the renormalization group. A very clever idea is to learn about the "background field gauge", which makes the problem easier in the sense that you need to calculate "only" self-energy diagrams, because in this gauge you have straight-forward Ward-Takahashi identities rather than the more complicated (and more genereal) Slavnov-Taylor identities. It's in Weinberg Vol. II, but maybe the original articles by Abbott are also a good starting point.

http://inspirehep.net/search?ln=en&...e background field&of=hb&sf=earliestdate&so=d
 
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