Timeline for Statement of Millenium Problem: Yang-Mills Theory and Mass Gap
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jan 1, 2022 at 11:28 | comment | added | Eric Arnéo Vespira Kengne | Thanks very much @user1504. | |
| Dec 6, 2010 at 23:56 | comment | added | user1504 | The main reference for this stuff is Glimm & Jaffe's book. Get the 2nd edition if you can; a lot of important material appears in the Appendix there. You'll probably also like Battle's 'Wavelets & Renormalization', if you can find it. Rivasseau's writings are also very much worth reading. I'm not sure what you mean by "strongest results" in this context. Maybe Balaban's construction of finite-volume 4d Yang-Mills measure on gauge invariant observables... | |
| Dec 6, 2010 at 23:54 | comment | added | user1504 | The theory of renormalization tells you how the lattice actions for different lattices should be related to one another; in particular, it tells you which interactions become stronger and which become weaker as you change the lattice spacing. | |
| Dec 6, 2010 at 22:56 | comment | added | timur | Thanks a lot! This is exactly the kind of description I was looking for without explicitly noticing it myself. With MO and the internet the world seems to have became one big math department. A couple of questions: Where does the renormalizability come in this picture? Can you give one reference on one of the simplest nontrivial cases (e.g., two-dimensional QFT) where this programme has been successfully carried out, and one reference on one of the strongest known results in this direction? | |
| Sep 6, 2010 at 8:43 | vote | accept | Florian | ||
| Sep 1, 2010 at 21:25 | history | answered | user1504 | CC BY-SA 2.5 |