Timeline for State of rigorous effective quantum field theories
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 24, 2021 at 22:33 | vote | accept | Pedro | ||
| Jun 24, 2021 at 20:18 | answer | added | Igor Khavkine | timeline score: 8 | |
| Jun 24, 2021 at 15:23 | comment | added | Timothy Chow | Related: Mathematical foundations of Quantum Field Theory and Mathematics of path integral: state of the art. | |
| Jun 24, 2021 at 14:36 | comment | added | Pedro | @CarloBeenakker The question is about the former, a mathematically well-defined but still perturbative version of these computations. Perhaps if convergence isn't known my question is to what extent can they be made well-defined rigorously. | |
| Jun 24, 2021 at 14:34 | comment | added | Pedro | @IgorKhavkine I have looked at several questions here but they all seem to be concerned with the construction of rigorous QFTs à la Wightman axioms etc., and not effective field theories. | |
| Jun 24, 2021 at 11:39 | comment | added | Carlo Beenakker | you mention a problem like a calculation of the "electron magnetic dipole moment" --- this quantity is only known as a perturbation series in the fine structure constant; are you interested in a "rigorous" calculation of the coefficients in this expansion, or do you wish a nonperturbative calculation? The latter does not exist, rigorous or not. | |
| Jun 24, 2021 at 9:37 | comment | added | Igor Khavkine | Have you considered searching this site for the keywords 'rigorous' and 'QFT'? | |
| Jun 24, 2021 at 8:52 | history | edited | YCor |
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| Jun 24, 2021 at 4:52 | comment | added | user1092847 | As far as I'm aware, Costello's approach is fundamentally perturbative: i.e. the planck constant is considered to be a formal parameter, and issues of convergence are not treated. So it can't be used to construct an "actual" QFT in the sense of the usual axiomatizations. | |
| Jun 24, 2021 at 1:52 | history | asked | Pedro | CC BY-SA 4.0 |