A functional RG approach for the BFKL Pomeron

Abstract

In this paper we encode the perturbative BFKL leading logarithmic resummation, relevant for the Regge limit behavior of QCD scattering amplitudes, in the IR-regulated effective action which satisfies exact functional renormalization group equations. This is obtained using a truncation with a specific infinite set of non local vertices describing the multi-Regge kinematics (MRK). The goal is to use this framework to study, in the high energy limit and at larger transverse distances the transition to a much simpler effective local reggeon field theory, whose critical properties were recently investigated in the same framework. We perform a numerical analysis of the spectrum of the BFKL Pomeron deformed by the introduction of a Wilsonian infrared regulator to understand the properties of the leading poles (states) contributing to the high energy scattering.

46 pages, 27 figures, latex (one figure added, a reference corrected)

References in corpus (6)

• Exact evolution equation for the effective potential
• The high energy behavior of QCD: The effective action and the triple-Pomeron-vertex
• Could reggeon field theory be an effective theory for QCD in the Regge limit?
• Pomeron - Odderon interactions in a reggeon field theory
• Decoupling of the leading contribution in the discrete BFKL Analysis of High-Precision HERA Data
• BFKL pomeron with massive gluons and running coupling

Cited by in corpus (4)

• The nonperturbative functional renormalization group and its applications
• The Odderon in QCD with running coupling
• An approach to the leading Regge pole
• The odderon and BKP states in the Quantum Chromodynamics