Timeline for Reference request for $\phi^{4}_{d}$ theory - where to begin?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Aug 24, 2022 at 1:04 | history | bounty ended | CommunityBot | ||
| S Aug 24, 2022 at 1:04 | history | notice removed | CommunityBot | ||
| Aug 17, 2022 at 8:22 | comment | added | gmvh | People would generally call it the anharmonic oscillator rather than $d=1$ $\phi^4$ theory. At least at the level of mathematical physics, arXiv:0812.3517 seems to be a relevant construction. | |
| Aug 17, 2022 at 3:15 | comment | added | MathMath | @gmvh I see the point. I know the construction of Feynman path integrals using Wiener measures, but don't remember ever seeing the construction of $\phi^{4}$ measures in this context. Do you know any good reference on this matter? | |
| Aug 16, 2022 at 18:42 | comment | added | gmvh | What Buzz is pointing out is that you seem unaware that $d=1$ QFT is simply Quantum Mechanics, for which there is a lot of rather rigorous formalism ... | |
| Aug 16, 2022 at 14:05 | vote | accept | MathMath | ||
| Aug 16, 2022 at 13:06 | answer | added | Carlo Beenakker | timeline score: 7 | |
| S Aug 15, 2022 at 23:07 | history | bounty started | MathMath | ||
| S Aug 15, 2022 at 23:07 | history | notice added | MathMath | Draw attention | |
| Aug 14, 2022 at 13:52 | comment | added | MathMath | @Buzz I meant that I have never seen a rigirous discusson about $d=1$. | |
| Aug 13, 2022 at 23:11 | comment | added | Buzz | I think the real answer is that you should learn more about quantum mechanics and quantum field theory as general subjects. (The fact that you have never seen $\phi^{4}$ theory in $d=1$ indicates that you do not have much grounding in the physics.) If you are having trouble making the connections between apparently different formalisms used in different sources, that is probably because they assume a certain level of understanding of the physics that motivates the mathematics. | |
| Aug 13, 2022 at 23:02 | history | asked | MathMath | CC BY-SA 4.0 |