On Certain Two Dimensional Integrals that Appear In Conformal Field Theory

Details On Certain Two Dimensional Integrals that Appear In Conformal Field Theory On Certain Two Dimensional Integrals that Appear In Conformal Field Theory

2000-03-20

arxiv.org/abs/math-ph/0003019v1

J.Math.Phys. 44 (2003) 2293-2319

Physics

Mathematical Physics

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

Scientific paper

10.1063/1.1536020

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.

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