Timeline for How do we reproduce QFT's predictions about local field observables, in the low energy limit of predictions of string theory?
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| Oct 26 at 16:59 | comment | added | Ryder Rude | Please add these details in the answer: In QFT, I prepare a field in a state $\rho$, I evolve it for a time $t$ to get $\rho (t)$, I perform a measurement of a local observable $A$, and I get an expected value prediction of $Tr (\rho (t) A)$. 1. What is the string theoretic description of this experiment , and 2. Why is prediction of the string theory close to the QFT's prediction about this experiment? | |
| Oct 26 at 16:57 | comment | added | Simp | I have added my comment. Here is a good summery for the duality between Chern Simons theory and the A-model. arxiv.org/abs/hep-th/0406005 | |
| Oct 26 at 16:50 | comment | added | Simp | Yes simply quantize the SFT action. This is better understood for closed than for open strings. Additionally, there is a string theory (open A-model) that is dual to large N perturbative Chern-Simons theory. You can show the exact duality with cubic string field theory. Here you can calculate expectation values of operators in CS theory directly from the string amplitudes. Large N dualities in general are well understood examples. | |
| Oct 26 at 16:37 | comment | added | Ryder Rude | Your former approach shows that classical field theory's predictions can emerge from string theory. So this approach does not reproduce QFT unless we later quantise the action (which would be a purely mathematical procedure instead of a map between predictions of string theory and QFT). In the latter approach using string field theory, are we able to map predictions of QFT to predictions of string field theory? | |
| Oct 26 at 16:29 | history | edited | Simp | CC BY-SA 4.0 |
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| Oct 26 at 16:24 | history | answered | Simp | CC BY-SA 4.0 |