Timeline for Reading list recommendation for a hep-ph student to start studying QFT at a more mathematically rigorous level?
Current License: CC BY-SA 4.0
19 events
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| Jul 18, 2021 at 14:00 | history | bounty ended | rfloc | ||
| Jul 14, 2021 at 10:55 | comment | added | Qi Tianluo | @AbdelmalekAbdesselam Thank you! I think your explanation of the workflow of the different subfields of QFT is really helpful. And in fact, it is my bad word choice, I did aim to mean what you say about constructive QFT. | |
| Jul 13, 2021 at 19:20 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
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| Jul 13, 2021 at 17:33 | comment | added | Qi Tianluo | @AbdelmalekAbdesselam Thanks! | |
| Jul 13, 2021 at 17:22 | comment | added | Abdelmalek Abdesselam | @QiTianluo: Thank you for your questions. There is quite a bit to unpack so I will edit my answer to address these new points. | |
| Jul 13, 2021 at 15:50 | comment | added | Qi Tianluo | @AbdelmalekAbdesselam 3) So I have a very naive understanding. I think that Axiomatic QFT is trying to provide some axioms which put QFT on the rigorous mathematical ground, much like how we formulate topological space and group, by starting from some axioms that need not be proved. And constructive QFT is trying to propose actual QFT models which satisfy those axioms. Is that correct? | |
| Jul 13, 2021 at 15:49 | comment | added | Qi Tianluo | @AbdelmalekAbdesselam Thank you for your answer! After reading your answer, I've got some questions, hope you won't find them stupid: 1) “this narrows the pick to a proof of construction of a QFT model using renormalization group methods”, does this mean that all other method than rigorous renormalization group method have failed currently to construct a sensible QFT satisfying Wightman’s axioms (or its equivalent)? 2) I understand that Jaffe and Glimm are the pioneering figures in the field of Constructive QFT, shouldn’t I start with some classical work at first? | |
| Jul 13, 2021 at 15:33 | comment | added | Abdelmalek Abdesselam | @MG: Could you avoid speaking in riddles and innuendos and say what you want to say. | |
| Jul 13, 2021 at 15:31 | comment | added | M.G. | @AbdelmalekAbdesselam: it wasn't me who said "fading away before our eyes every day". Regardless, don't virtual particles have many implications and observable consequences? I think your interpretation of my comment was oversimplistic. | |
| Jul 13, 2021 at 15:14 | comment | added | Abdelmalek Abdesselam | @M.G.: So you are saying that all the work done say in axiomatic, constructive QFT, etc. does not exist? counts for nothing? Wow. | |
| Jul 13, 2021 at 15:01 | comment | added | M.G. | What I take from მამუკა ჯიბლაძე's comment is that mathematical formalisms for QFT are virtual particles themselves :) | |
| Jul 12, 2021 at 16:03 | comment | added | Abdelmalek Abdesselam | Ok thanks for clarifying because I could not tell at all from your first comment. Indeed, picking a model is not easy, a bit like the opening move in a game of chess. That's why I provided guidance by proposing a couple specific models. | |
| Jul 12, 2021 at 16:00 | comment | added | მამუკა ჯიბლაძე | Fair enough. I guess I wanted to say that the first step, about picking one of the models, is the most difficult one, requiring most guidance. | |
| Jul 12, 2021 at 15:28 | comment | added | Abdelmalek Abdesselam | Quite poetic, but what useful/actionable piece of information am I, or anybody else, supposed to get from a comment like that? | |
| Jul 12, 2021 at 14:58 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
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| Jul 12, 2021 at 5:44 | comment | added | მამუკა ჯიბლაძე | Maybe, being a bit late, it is at the same time a bit early: dozens of novel promising and exciting mathematical formalisms for QFT keep appearing, flourishing, and fading away before our eyes every day. | |
| Jul 12, 2021 at 0:01 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
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| Jul 11, 2021 at 23:27 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
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| Jul 11, 2021 at 23:05 | history | answered | Abdelmalek Abdesselam | CC BY-SA 4.0 |