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Generalized Wick's theorem

  1. Jun 12, 2007 #1
    I have the following contour integral form of Wick's theorem (C indicating contraction):

    [tex]C[A(z):BC:(w)]=\frac{1}{2 \pi i} \int _w \frac{dx}{x-w} C[A(z)B(x)]C(w) + B(x)C[A(z)C(w)][/tex]

    Does anybody know how to evaluate contractions like C[:AB:(z)C(w)]?
  2. jcsd
  3. May 31, 2009 #2
    Yes, it is outlined in Di Francesco's book "Conformal Field Theory" page 189: I'll give you a link to google books since there is a free preview of that chapter :

    http://books.google.nl/books?id=keUrdME5rhIC&pg=PA188&lpg=PA188&dq=generalized+wick%27s+theorem&source=bl&ots=v17L24bx_5&sig=G66_NRXqe6fanAU6LJ_g_7bZ1io&hl=nl&ei=ZsIOSuWqONW2jAeDxsyeBg&sa=X&oi=book_result&ct=result&resnum=7#PPA189,M1 [Broken]

    I imagine you found this in a takehome exercise sheet for a String theory course in the Netherlands (it was a takehome midterm exam at UvA)

    i also know this is a very late reply but ... oh well :D
    Last edited by a moderator: Apr 24, 2017 at 2:02 PM
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