The Triple-Regge Triangle Anomaly

TL;DR

This paper demonstrates the presence of the triangle anomaly as an infrared divergence in a six-reggeon interaction vertex derived from a complex non-planar Feynman diagram, using a multi-regge asymptotic dispersion relation.

Contribution

It introduces a method to identify and analyze the triangle anomaly within the triple-regge limit of quark scattering, highlighting conditions for anomaly cancellation.

Findings

Triangle anomaly appears as an infrared divergence in the six-reggeon vertex.

A dispersion relation formalism isolates anomaly contributions.

Conditions for anomaly cancellation are discussed.

Abstract

It is shown that the triangle anomaly is present, as an infra-red divergence, in the six-reggeon triple-regge interaction vertex obtained from a maximally non-planar Feynman diagram in the full triple-regge limit of three-to-three quark scattering. A multi-regge asymptotic dispersion relation formalism can be used to isolate all anomaly contributions and to discuss when and how there is a cancelation.