Timeline for QFT-style vs. (NR)QM-style [closed]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Aug 10, 2022 at 21:30 | history | edited | Davius | CC BY-SA 4.0 |
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| Aug 7, 2022 at 3:24 | history | left closed in review |
Miyase Michael Seifert ZeroTheHero |
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| Aug 6, 2022 at 18:27 | comment | added | hft | So.... What textbook are you referring to? | |
| Aug 6, 2022 at 14:24 | review | Reopen votes | |||
| Aug 7, 2022 at 3:24 | |||||
| Aug 6, 2022 at 14:24 | history | edited | Davius | CC BY-SA 4.0 |
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| Aug 6, 2022 at 6:02 | comment | added | GiorgioP-DoomsdayClockIsAt-90 | @hft Wikipedia is a great resource. But not as authoritative as a good textbook on infinite-dimensional vector spaces. The issue is similar to claiming that a tensor space is not a special case of vector space. | |
| Aug 6, 2022 at 1:27 | history | closed |
Níckolas Alves hft Cosmas Zachos |
Needs more focus | |
| Aug 6, 2022 at 1:11 | comment | added | hft | @FreeAssange Mkay whatever you say. Not sure if you clicked on the link to wikipedia: "Informally, a Fock space is the sum of a set of Hilbert spaces..." | |
| Aug 6, 2022 at 0:23 | comment | added | FreeAssange | @hft A Fock space is a special case of a Hilbert space. While the precise structure of the Hilbert space of interacting field theories is an open question, we know that it is not a Fock space. So, in fact, it is more accurate to refer to the Hilbert space of a QFT rather than to its Fock space (which would only make sense for a free QFT). | |
| Aug 6, 2022 at 0:10 | history | edited | Davius | CC BY-SA 4.0 |
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| Aug 6, 2022 at 0:06 | review | Close votes | |||
| Aug 6, 2022 at 1:32 | |||||
| Aug 6, 2022 at 0:05 | comment | added | hft | "Why did we never ask..." Who is "we"? Why do you assume we didn't ask such questions? | |
| Aug 6, 2022 at 0:04 | comment | added | hft | @Davius You often don't use a Hilbert Space in QFT, you use a Fock Space (for states with changing particle number). en.wikipedia.org/wiki/Fock_space | |
| Aug 6, 2022 at 0:02 | comment | added | Gold | The Hilbert space of a relativistic QFT must by definition carry a unitary representation of the universal cover of the Poincaré group - that is a constraint of relativistic symmetry. The issue is that finding such a Hilbert space and the corresponding representation in a complete interacting theory is a very intricate open problem. Nevertheless, in free theories the problem is tractable, and when discussing the scattering problem such construction can still be used asymptotically. For a very good description of this see Weinberg's QFT textbook, volume 1, chapters 2 and 3. | |
| Aug 5, 2022 at 23:43 | history | asked | Davius | CC BY-SA 4.0 |