Gauge Theory High-Energy Behavior from J-Plane Unitarity

Abstract

In a non-abelian gauge theory the $t$-channel multiparticle unitarity equations continued in the complex j-plane can be systematically expanded around $j=1$. The combination of Ward identity constraints with unitarity is sufficient to produce directly many results obtained by Regge limit leading-log and next-to-leading log momentum space calculations. The $O(g^2)$ BFKL kernel is completely determined. $O(g^4)$ contributions to the kernel are also determined, including the leading contribution of a new partial-wave amplitude - previously identified as a separate forward component with a holomorphically factorizable spectrum. For this amplitude the only scale ambiguity is the overall normalization and it is anticipated to be a new conformally invariant kernel. The results suggest that all conformally invariant reggeon interactions are determined by $t$-channel unitarity.

55 pages in latex, 32 ps-figs

References in corpus (6)

• Effective Action for Multi-Regge Processes in QCD
• Symmetry Properties of the Effective Action for High-Energy Scattering in QCD
• The $O(g^4)$ Lipatov Kernels
• Properties of the Scale Invariant $O(g^4)$ Lipatov Kernel
• The Spectrum of the O(g^4) scale-invariant Lipatov Kernel
• Scale Invariant $O(g^4)$ Lipatov Kernels at Non-Zero Momentum Transfer

Cited by in corpus (6)

• The Evolution of Unpolarized Singlet Structure Functions at Small x
• k-Factorization and Small-x Anomalous Dimensions
• k-Factorization and Impact Factors at Next-to-leading Level
• On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space
• Scale Invariant $O(g^4)$ Lipatov Kernels at Non-Zero Momentum Transfer
• NLO Conformal Symmetry in the Regge Limit of QCD