On Certain Two Dimensional Integrals that Appear In Conformal Field Theory

Abstract

In a first part, we generalize a theorem for an holomorphic $\times$ anti-holomorphic integrand, in the case of 2 dimensional Fourier transform. In the second part, we derive p-uple conformal integrals the integrand of which are linear combination of holomorphic times holomorphic generalized hypergeometric functions. The specific case $p=3$ is relevant to determine the triple Pomeron vertex in QCD.

latex txt.tex, 3 files, 39 pages [SPhT-T00/034], submitted to Comm. Math. Phys

References in corpus (1)

• Conformal Invariance and the exact solution of BFKL equations

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