English

On Certain Two Dimensional Integrals that Appear In Conformal Field Theory

Mathematical Physics 2009-10-31 v1 math.MP

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=3p=3 is relevant to determine the triple Pomeron vertex in QCD.

Keywords

Cite

@article{arxiv.math-ph/0003019,
  title  = {On Certain Two Dimensional Integrals that Appear In Conformal Field Theory},
  author = {J. S. Geronimo and H. Navelet},
  journal= {arXiv preprint arXiv:math-ph/0003019},
  year   = {2009}
}

Comments

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