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I have been reading around that when performing the analytic continuation to Euclidean space ([itex]t\to-i\tau[/itex]) one also has to continue the gauge field ([itex]A_t\to iA_4[/itex]) in order to keep the gauge group compact.

I already knew that the gauge field had to be continued as well but I didn't know anything about keeping the gauge group compact. Can someone explain it to me?

Thanks!

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# A Euclidean signature and compact gauge group

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