Timeline for Stable graphs: Feynman diagrams and Deligne-Mumford space
Current License: CC BY-SA 2.5
7 events
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| Apr 28, 2010 at 20:24 | comment | added | Kelly Davis | @A.J. I did not say all point-particle QFT are obtainable as limits of string theories, and hope I didn't imply such is the case. Also, yes, any perturbative expansion in $\hbar$ can be organized using stable graphs. However, the problem with saying "any perturbative...stable graphs" and only this to a mathematician is that they then have no idea why this is the case, the fountainhead of this question. The example I gave from string theory, I think we both agree, motivates why stable graphs play a role. | |
| Apr 26, 2010 at 18:17 | comment | added | user1504 | Kelly, IIRC, not all QFTs are obtainable as limits of string theories. However, any perturbative expansion in $\hbar$ can be organized using stable graphs. (This is a quibble, of course. The string case did inspire the QFT construction.) | |
| Apr 24, 2010 at 9:35 | history | edited | Kelly Davis | CC BY-SA 2.5 |
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| Apr 23, 2010 at 17:42 | comment | added | Kelly Davis | I don't mean to be contrary, but I am not sure you understand the string theory case very well. One can think of point particle theory as string theory in the limit of infinite string tension. This fact, along with my comment above, should give the relation you seek. | |
| Apr 23, 2010 at 8:39 | comment | added | Kevin H. Lin | Yep, I'm reading Costello's book. Yes, I am familiar with the string theory/Gromov-Witten theory story you describe. But I am more wondering about QFTs outside of string theory/GW theory. | |
| Apr 23, 2010 at 7:24 | history | edited | Kelly Davis | CC BY-SA 2.5 |
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| Apr 23, 2010 at 7:08 | history | answered | Kelly Davis | CC BY-SA 2.5 |