Quantum Field Theory: Project Topic Ideas

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SUMMARY

The discussion centers on project topic ideas for the course "Introduction to Quantum Field Theory" (QFT). Key suggestions include exploring QFT in curved space and asymptotic freedom of Quantum Chromodynamics (QCD) at the one-loop level. A focus on the renormalization group and the background field gauge is recommended for simplifying calculations. The discussion emphasizes the importance of a solid understanding of QFT in flat Minkowski space before tackling more complex topics.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT) in flat Minkowski space
  • Familiarity with Quantum Chromodynamics (QCD)
  • Knowledge of the renormalization group techniques
  • Experience with background field gauge methods
NEXT STEPS
  • Research the concept of asymptotic freedom in QCD
  • Study the renormalization group and its applications in QFT
  • Learn about background field gauge and its advantages in calculations
  • Explore original articles by Abbott on background field gauge techniques
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on Quantum Field Theory and Quantum Chromodynamics, will benefit from this discussion.

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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