High Energy Theorems at Large-N

Details High Energy Theorems at Large-N High Energy Theorems at Large-N

1999-09-30

arxiv.org/abs/hep-ph/9909571v1

J.Phys.G27:727-754,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages TeX and mtexsis.tex, 10 figures (uses epsf)

Scientific paper

10.1088/0954-3899/27/4/301

Sum rules for products of two, three and four QCD currents are derived using chiral symmetry at infinite momentum in the large-N limit. These exact relations among meson decay constants, axialvector couplings and masses determine the asymptotic behavior of an infinite number of QCD correlators. The familiar spectral function sum rules for products of two QCD currents are among the relations derived. With this precise knowledge of asymptotic behavior, an infinite number of large-N QCD correlators can be constructed using dispersion relations. A detailed derivation is given of the exact large-N pion vector form factor and forward pion-pion scattering amplitudes.

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