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Performing integration over field variable

  1. May 19, 2015 #1
    I have this exercise, where I am to integrate out the fluctuations in the order parameter δρ, but I don't really know how to do this. The integral is over r and imaginary time. Should I try to complete the square, so the correlation term between δρ and Θ drops out? In that case which shift of variables should I make?
     

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  3. May 24, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. May 25, 2015 #3

    nrqed

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    Yes, just complete the square. The shift of variable will simply be [itex] \delta \rho \rightarrow \delta \rho - i \partial_r \theta /g [/itex].
     
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