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Which are some best sources to learn Algebraic Quantum Field Theory (AQFT)?

I am a beginner and I am currently following Haag's Local Quantum Physics and feel like I need some more notes or some extra supplementary book or something like that.

Which are some other best books?

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  • $\begingroup$ This question doesn't belong to the server because this server is about physics, not about the history of physics or physics' echoes in the mass culture. What's important from a physics viewpoint is that algebraic quantum field theory was a wrong attempt to understand the underlying logic of quantum field theories. It's been deprecated and no credible physicist is using its axioms today. The question above tries to hide this "detail" which is not good. $\endgroup$ – Luboš Motl Jun 15 '17 at 5:06
  • $\begingroup$ No, it doesn't. String theory is the current state-of-the-art foundation of theoretical physics. You're encouraged to compare e.g. scientific papers with the phrase "string theory" and with "algebraic quantum field theory" and their impact or number of citations: scholar.google.cz/… and scholar.google.cz/… $\endgroup$ – Luboš Motl Jun 15 '17 at 5:08
  • $\begingroup$ Perhaps you want something witteny, arxiv.org/abs/1004.0616 $\endgroup$ – Boltzee Jun 15 '17 at 5:34
  • $\begingroup$ It is half-Witteny but surely not one of the 50% of more influential Witten's papers scholar.google.cz/… Witten indeed co-wrote papers on AQFT but it's his hobby and doesn't directly overlap with the work that he does with the other particle physicists and string theorists. Just try to be a bit reasonable. The Longo-Witten paper has 20 cits, Witten's top numerous papers have over 2,000, and his AdS/CFT has close to 10,000 by Google Scholar. $\endgroup$ – Luboš Motl Jun 17 '17 at 7:27
  • $\begingroup$ You surely agree it's unreasonable to say that Witten-Longo is on par with Witten's work on string theory, don't you? $\endgroup$ – Luboš Motl Jun 17 '17 at 7:32
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First, be sure that you are handling the second edition of Haag's book!

I can also suggest H.Araki's book Mathematical Theory of Quantum Fields which is a bit more mathematically detailed than Haag's book, but covers a smaller area.

The very recent Advances in Algebraic Quantum Field Theory including the contributions of many authors (including myself). Some chapters are quite introductory and could be of help for you.

As a general source, have a look at this page Local Quantum Physics Crossroads: Bibliography. It contains several books on the subject of local quantum theories, including AQFT.

See also this page of the AQFT group of Hamburg AQFTlecturenotes especially the last lecture notes by K.Fredenhagen. Klaus adopted those lecture notes in his courses before retiring.

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  • $\begingroup$ can you suggest me some books to prepare myself for the mathematics for the purpose $\endgroup$ – Boltzee Jan 4 '16 at 18:19
  • $\begingroup$ Bratteli-Robinson's textbook for instance. But my suggestion is to prepare mathematics and physics simultaneously, the latter should be the guide for the former. The risk is to get lost in mathematics since this area is really huge. $\endgroup$ – Valter Moretti Jan 4 '16 at 18:25
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    $\begingroup$ It is with great sadness that I announce the passing of our distinguished colleague Rudolf Haag. He died on January 5th 2016 at the age of ninety-three. He worked to the very end on his more recent prime topic, the foundations of quantum physics. His death is a tremendous loss for our scientific community. $\endgroup$ – Valter Moretti Jan 8 '16 at 7:11

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