Possible interpretation on the origin of four-fermion interaction

TL;DR

This paper proposes a theoretical interpretation for the origin of four-fermion interactions in effective field theories, linking it to gluon condensates in quantum chromodynamics, inspired by Bose-Einstein condensate phenomena.

Contribution

It introduces a novel perspective by incorporating gluon condensate effects into the gluon propagator to derive four-fermion interactions from first principles.

Findings

Four-fermion interactions can originate from gluon condensates in QCD.

The approach links effective field theories to fundamental QCD dynamics.

Gluon condensate effects lead to contact interactions in a hypothetical condensed gluon state.

Abstract

We present a possible interpretation on the origin of the four-fermion interaction used in effective field theories. Inspired by the sharp momentum peak seen in Bose-Einstein condensate state, we incorporate the special gluon condensate effect into the gluon propagator. We then find that, if one considers hypothetic situation with the condensed gluon, the four-fermion contact interaction can arise from the first principle theory of quantum chromodynamics.