  In this paper we explore the transport properties of three-component Fermi
gases confined to one spatial dimension, interacting via a three-body
interaction, in the high temperature limit. At the classical level, the
three-body interaction is scale invariant in one dimension. However, upon
quantization, an anomaly appears which breaks the scale invariance. This is
very similar to the physics of two-component fermions in two spatial
dimensions, where the two-body interaction is also anomalous. Previous studies
have already hinted that the physics of these two systems are intimately
related. Here we expand upon those studies by examining the thermodynamic
properties of this anomalous one dimensional system in the high temperature
limit. We show there is an exact mapping between the traditional two-body
anomalous interaction in two dimensions, to that of three-body interaction in
one dimension. This result is valid in the high temperature limit, where the
thermodynamics can be understood in terms of few-body correlations.
