Timeline for Functor category of quantum field theories?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28, 2021 at 22:47 | vote | accept | riemanntensor | ||
| Oct 28, 2021 at 15:47 | answer | added | Theo Johnson-Freyd | timeline score: 8 | |
| Oct 28, 2021 at 8:44 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
|
| Oct 27, 2021 at 20:18 | comment | added | domenico fiorenza | That is, if $V_\Sigma$ is the vector space (space of states) associated with the $(n-1)$-manifold $\Sigma$ by the first QFT and $W_\Sigma$ the one associated by the second QFT, you have a linear morphism $\varphi_\Sigma\colon V_\Sigma\to W_\Sigma$. If $M$ is an $n$-manifold with $\partial M =\Sigma$ then we have a vector (a state) $v_M\in V_M$ and a vector $w_M\in W_\Sigma$, and one has $\varphi_\Sigma(v_M)=w_M$; the morphism $\varphi_{\Sigma_1\sqcup \Sigma_2}$ is naturally identified with $\varphi_{\Sigma_1}\otimes \varphi_{\Sigma_2}$, etc. | |
| Oct 27, 2021 at 19:10 | comment | added | Fernando Muro | Naively, if your QFTs are monoidal functors you can take monoidal natural transformations between them. | |
| Oct 27, 2021 at 18:54 | comment | added | riemanntensor | The specific case of QFTs is what I'm interested in. I am aware that QFTs form a higher category, but I am unable to even understand what the 1-morphisms in the category of QFTs look like. | |
| Oct 27, 2021 at 18:44 | comment | added | Fernando Muro | Is your trouble with natural transformations between monoidal functors in general or with the specific case of QFTs? Beware that you actually have a higher category of those. | |
| S Oct 27, 2021 at 18:03 | review | First questions | |||
| Oct 27, 2021 at 18:04 | |||||
| S Oct 27, 2021 at 18:03 | history | asked | riemanntensor | CC BY-SA 4.0 |