Hadron-gluon interactions, pomerons, and infinite component wave equations
Abstract
This document is a work regarding Hadron phenomenology and contains
two major components. The first part of this work is a presentation of a
field theoretical model describing gluon interactions with color neutral fields
whose aim is to describe the interactions of Hadrons through scattering in the
Regge region of QCD . This model yields Hadron structure in the infra-red
sector of QCD, which is ultimately used to describe a Pomeron exchange where
a Regge intercept of the Pomeron Regge trajectory is obtained. One of the
main results of this work is that the Hadron structure provides a significant
contribution to such an interaction, and that this structure is primarily a result
of t-channel exchanges of Reggeized gluons. The second part of this work is
devoted to the construction of a relativistic infinite component wave equation
describing the propagation of a free field carrying infinite components of angular
momentum, or spin. The motivation for such a construction is to ultimately
describe Hadron interactions giving rise excitations along Regge trajectories.
One consequence of this equations is that it accommodate fields whose physical
states differ by two units of angular momentum, namely 4J = 2, fitting
an observed Regge sequence.
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