How Does Generalized Wick's Theorem Evaluate Multi-Operator Contractions?

[da_willem]

I have the following contour integral form of Wick's theorem (C indicating contraction):

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)]

Does anybody know how to evaluate contractions like C[:AB:(z)C(w)]?

 

[Super_Leunam]

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=keU...X&oi=book_result&ct=result&resnum=7#PPA189,M1

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