High Energy Theorems at Large-N
arXiv:hep-ph/9909571 · doi:10.1088/0954-3899/27/4/301
Abstract
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.
34 pages TeX and mtexsis.tex, 10 figures (uses epsf)
References in corpus (7)
- Effective Field Theory Description of the Pion Form Factor
- Matching Long and Short Distances in Large-Nc QCD
- Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories
- The Extended Chiral Quark Model and QCD
- Effective theories with maximal analyticity
- Low Energy Constants from High Energy Theorems
- Chiral Multiplets of Large-N Ground State Baryons