Timeline for Approach to learning constructive QFT
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Mar 24, 2023 at 20:34 | comment | added | CBBAM | @AbdelmalekAbdesselam Thank you, I will start with their paper. | |
| Mar 24, 2023 at 20:25 | comment | added | Abdelmalek Abdesselam | @CBBAM: My advice is to forget about prerequisites, more functional analysis, probability, differential geometry, basics such as Wightman/Schwinger functions, etc., etc. This is all a distraction from CQFT. Instead, follow the link to the other MO post I mentioned, and read for example Guiliani-Mastropietro-Rychkov. Reading must be done in a focused tenacious way. If you don't know something they talk about, do a minimal "reverse tree exploration" in the literature, to learn about just that notion and then go back to their paper, and repeat. | |
| Mar 24, 2023 at 19:52 | comment | added | CBBAM | @user1504 I will take your advice. I was able to get through Folland's book and develop somewhat of an intuition for the subject, but the books written by and for physicists have been a different story. Thanks again for all your help. | |
| Mar 24, 2023 at 19:49 | comment | added | CBBAM | @AbdelmalekAbdesselam Also, in terms of math prerequisites, I have been having a hard time focusing on what to prepare for as CQFT seems to use a bit of everything. Do you have any suggestions on what I should focus on (e.g. more functional analysis, probability, differential geometry...etc)? | |
| Mar 24, 2023 at 19:49 | comment | added | CBBAM | @AbdelmalekAbdesselam Thank you, based on your comment and your linked post it seems I should start studying CQFT immediately and not just focus on the physics. Are there any beginner friendly resources you recommend that introduces some of the basics such as Wightman/Schwinger functions, the various axioms, their uses ...etc? | |
| Mar 24, 2023 at 19:48 | comment | added | user1504 | @CBBAM yes, Not just particle physics textbooks, but also the various QFT for Mathematicians books like Ticciati, Folland, and Talgrand that mirror them. | |
| Mar 24, 2023 at 19:39 | comment | added | CBBAM | I have always been a bit intimidated by statistical physics due to my lack of background in the subject, but your post has inspired me to give it a try. I have also been interested in learning about how lattice regularization is carried out but could not find an introduction for a novice such as myself, so those last two links are great! Thanks again! | |
| Mar 24, 2023 at 19:37 | comment | added | CBBAM | Thank you for this wonderful and elaborate answer! Since I originally made this post I went through parts of Griffiths' E&M book (skipping anything that was purely computational) and I have a better understanding of field theory now, though at an elementary level. I have also skipped around more of Peskin & Schroeder, but as you mentioned I have found this difficult as someone with only a math background. When you speak of avoiding particle physics, do you mean avoiding P&S-like books altogether? | |
| Mar 24, 2023 at 19:29 | vote | accept | CBBAM | ||
| Mar 24, 2023 at 19:08 | history | edited | user1504 | CC BY-SA 4.0 |
grammar annoyances, couple additional sentences.
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| Mar 24, 2023 at 16:34 | comment | added | user1504 | Yep. It's worth saying explicitly: Reading CQFT will also help the physics literature make sense. | |
| Mar 24, 2023 at 16:09 | comment | added | Abdelmalek Abdesselam | I agree with this answer. I would also address the key issue of when to read all this. The OP seems to want to read things before getting into research papers in constructive QFT, in order to "get intuition about the subject". This would be a fatal mistake. One should read these references at the same time or even after, and not delay starting to get into constructive QFT proper. I gave specific suggestions in this related MO post mathoverflow.net/questions/397143/… | |
| Mar 24, 2023 at 7:20 | history | edited | user1504 | CC BY-SA 4.0 |
added 26 characters in body
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| Mar 24, 2023 at 7:11 | history | edited | user1504 | CC BY-SA 4.0 |
added 12 characters in body
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| Mar 24, 2023 at 6:30 | history | edited | user1504 | CC BY-SA 4.0 |
more links
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| Mar 24, 2023 at 6:24 | history | answered | user1504 | CC BY-SA 4.0 |