Four-Fermion Interaction in the Low-Energy Approximation of Quantum Chromodynamics

TL;DR

This paper derives a four-fermion interaction model from low-energy quantum chromodynamics using the self-consistent field method, revealing additional vector and pseudovector current interactions beyond trivial and chiral terms.

Contribution

It introduces a novel low-energy effective Lagrangian for QCD that includes vector and pseudovector current interactions, derived via the self-consistent field approach.

Findings

Derived a comprehensive four-fermion interaction model for low-energy QCD

Identified additional vector and pseudovector current interactions

Provided a new effective Lagrangian for theoretical analysis

Abstract

A model with the four-fermion interaction is derived using the self-consistent field method in the low-energy limit of quantum chromodynamics. The resulting Lagrangian contains not only the trivial and chiral terms but also the interaction of the vector and pseudovector currents.