Timeline for Divergent path integral
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 3, 2016 at 18:35 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Aug 24, 2016 at 5:44 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 3, 2016 at 6:42 | answer | added | Souvik | timeline score: 1 | |
| Mar 3, 2014 at 23:40 | comment | added | user28355 | @AlexNelson I understand that. However, what does it mean physically for a divergent path integral? | |
| Mar 3, 2014 at 15:35 | comment | added | Alex Nelson | Presumably, it's any interaction $V(\phi)~\mathcal{O}(\phi^3)$. I'm at work, and cannot answer (perhaps @Qmechanic or someone else will give a coherent/non-tweet-lengthed response). Basically, you consider $\int\exp(S_{0}[\phi]+\int V(\phi)\,\mathrm{d}^{n}x)\, D\phi = \int\sum_{k=0}(\int V(\phi)\,\mathrm{d}^{n}x)^{k}\exp(S_{0}[\phi])\,D\phi$ then truncate the series after a couple terms, otherwise it diverges and you get infinities. | |
| Mar 3, 2014 at 12:42 | comment | added | Qmechanic♦ | Comment to the question (v3): What is the potential $V$? | |
| Mar 3, 2014 at 12:41 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
added 55 characters in body; edited tags
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| Mar 3, 2014 at 3:20 | history | edited | user28355 | CC BY-SA 3.0 |
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| Mar 3, 2014 at 1:50 | comment | added | Alex Nelson | The reason I ask about the action is: (a) you could be dealing with a "trivial infinity" from the volume of a gauge orbit; (b) it could be a legitimate infinity [e.g., the action could be unbounded from below after Wick rotating], where you would need to use Lattice approximations or effective field theory; (c) sometimes it could be "ghosts of departed quantities" when taking the continuum limit of finite differences. Can't tell which unless we see the action... | |
| Mar 2, 2014 at 0:16 | comment | added | Alex Nelson | What's the action? | |
| Mar 1, 2014 at 23:43 | history | asked | user28355 | CC BY-SA 3.0 |