Timeline for Making sense of $1+1$ massless bosonic free field as a "distribution" rather than tempered
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Dec 21, 2022 at 12:09 | vote | accept | Isaac | ||
Dec 21, 2022 at 12:09 | comment | added | Isaac | I see. I guess the IR cutoff (or behavior at infinity) is somehow related to the average to $0$, which is the crucial property.. Thank you for your answer. | |
Dec 21, 2022 at 9:51 | comment | added | Martin Hairer | Makes no difference, the problem isn't the behaviour of the test functions at infinity, but whether they average to $0$ or not. | |
Dec 21, 2022 at 3:57 | comment | added | Isaac | Thank you for your answer. I would like to make it a "normal" distribution, not necessarily tempered. Then the issue is whether or not the 2D GFF makes sense directly when testing against compactly supported smooth functions only. More concretely, I am concerned about the integral at the bottom of my question. Could you please help me evaluate it? | |
Dec 20, 2022 at 22:56 | history | answered | Martin Hairer | CC BY-SA 4.0 |