Relativistic Covariance of Light-Front Few-Body Systems in Hadron Physics

TL;DR

This paper investigates the relativistic covariance of light-front formulations in hadron physics, focusing on vector-meson decay constants and addressing zero-mode issues within a covariant fermion field theory model.

Contribution

It introduces a method to identify zero-mode operators and achieve light-front covariant decay constants in a manifestly covariant framework.

Findings

Zero-mode contributions are crucial for light-front covariance.

A systematic approach to identify zero-mode operators is proposed.

The method ensures consistent calculation of decay constants in light-front dynamics.

Abstract

We study the light-front covariance of a vector-meson decay constant using a manifestly covariant fermion field theory model in $(3+1)$ dimensions. The light-front zero-mode issues are analyzed in terms of polarization vectors and method of identifying the zero-mode operator and of obtaining the light-front covariant decay constant is discussed.