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I have to understand how this integral is evaluated (it is taken from Fetter - Quantum theory of many particle systems)(14.24):

http://dl.dropbox.com/u/158338/fis/fetter.pdf" [Broken]

in particular, i don't know how the log brach cuts are defined..

as far as I know, log branch cuts can be define as the regions at fixed log argument.. (i.e. -inf to 0 for [-pi;pi[).

Gnuplot says that the "natural" branch cut ([-pi;pi[) is the discontiunous line in this pic:

http://dl.dropbox.com/u/158338/fis/arg-rminus.png" [Broken]

ideas?

thanks!

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# Complex analysis - electron screening

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