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S Feb 1, 2022 at 21:02 history bounty ended CommunityBot
S Feb 1, 2022 at 21:02 history notice removed CommunityBot
Jan 25, 2022 at 5:41 history edited user1504 CC BY-SA 4.0
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Jan 25, 2022 at 5:41 comment added user1504 @TomMrowka Thanks for the feedback. I've made edits that hopefully prune this question to an answerable one. I've deleted (and hopefully will re-ask in a new question) some aspects of the original question that relate to renormalization flow.
Jan 25, 2022 at 1:48 comment added Tom Mrowka Can you clarify your questions? What do you mean by a "correspondence between the finite $t$ solutions? The proof of existence and uniqueness for solutions with sufficiently regular ($H^{1/2}$ in this dimension) initial conditions for this modified flow should follow easily from a standard implicit function theorem argument for the a heat flow (as you say the added term is lower order) once gauge fixing is accounted for (via say deTurck's trick or other methods). Although flat connections are fixed points for the flow it's not clear to me that they are the only critical points.
S Jan 24, 2022 at 19:30 history bounty started user1504
S Jan 24, 2022 at 19:30 history notice added user1504 Draw attention
Jan 24, 2022 at 19:28 history edited user1504 CC BY-SA 4.0
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Jan 15, 2022 at 1:41 history asked user1504 CC BY-SA 4.0