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my question is about Euclidean correlators (say a 2-pt function to be specific) in presence of non-zero chemical potential.

The question in particular is: is it still true that the Minkowski time ordered 2-pt function can be simply obtained from the Euclidean one by analytic continuation? Is this property spoiled by the presence of a chemical potential?

My confusion is mostly due to the fact that, if I'm not mistaken, a real chemical potential in Minkowski should be analytically continued to an imaginary one in Euclidean signature and I don't know if this is a problem or not.

Thanks!

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# Euclidean correlators for finite chemical potential

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