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i am really interested in the mathematical foundations of quantum field theory and i want to write my master thesis on some topic of this subject.

However, i did a little research and found that there is a vast amount of information about the topic and i really do not know where to begin studying it.

I would like for someone to give me a starting point for an introduction to the mathematical foundations of QFT as well as "hot" research topics about the subject.

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Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

closed as primarily opinion-based by AccidentalFourierTransform, G. Smith, Qmechanic May 9 at 16:54

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ I don't understand how this question is « primarily opinion-based », isn't epistemology allowed in here? $\endgroup$ – Exocytosis May 9 at 17:24
  • $\begingroup$ Starting point and hot topics will be opinions. $\endgroup$ – Mitchell Porter May 9 at 17:59
  • $\begingroup$ Sounds like a legitimate question to me. How else should the OP have phrased the question so it is not "primarily opinion based" (a qualification which is an opinion BTW) and still elicits some useful answers? $\endgroup$ – Abdelmalek Abdesselam May 9 at 18:51
  • $\begingroup$ well how should i rephrase the question? $\endgroup$ – Vasilis Vergioglou May 10 at 9:00