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1989•Journal of Physics G Nuclear and Particle PhysicsRequires access

The pomeron trajectory in a quasiperturbative model of quarks and gluons

Douglas A. Ross

Open publisher page 18 citations

Abstract

A previously proposed model of quarks and gluons, with nonperturbative gluon propagators, is extended to include gluon self-interactions. An approximate expression for the amplitude for colour octet exchange is obtained by summing a dominant subset of diagrams. This amplitude is then used to obtain an integral equation for the pomeron amplitude whose solution gives an isolated pole for its Mellin transform. The position of this pole is qualitatively consistent with the observed pomeron trajectory.

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What this paper is about

A previously proposed model of quarks and gluons, with nonperturbative gluon propagators, is extended to include gluon self-interactions. An approximate expression for the amplitude for colour octet exchange is obtained by summing a dominant subset of diagrams. This amplitude is then used to obtain an integral equation for the pomeron amplitude whose solution gives an isolated pole for its Mellin transform. The position of this pole is qualitatively consistent with the observed pomeron trajectory.

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Available abstract

A previously proposed model of quarks and gluons, with nonperturbative gluon propagators, is extended to include gluon self-interactions. An approximate expression for the amplitude for colour octet exchange is obtained by summing a dominant subset of diagrams. This amplitude is then used to obtain an integral equation for the pomeron amplitude whose solution gives an isolated pole for its Mellin transform. The position of this pole is qualitatively consistent with the observed pomeron trajectory.

Key concepts: Pomeron, Gluon, Physics, Particle physics, Propagator, Amplitude, Quark, Trajectory

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