Different methods for including retardation in hadronic interactions

TL;DR

This paper investigates how retardation effects influence hadronic quark interactions by comparing classical electrodynamics-based models with quantum calculations, highlighting their physical similarities.

Contribution

It introduces a method to incorporate retardation in hadronic interactions and compares classical and quantum approaches to validate the model.

Findings

Classical electrodynamics approach aligns with quantum Feynman diagram results.

Retardation effects significantly impact hadronic interaction modeling.

The study provides a foundation for constructing quantum operators for retardation.

Abstract

A study of the retardation contributions to the hadronic quark interaction is performed in the coordinate space elaborating a classical electrodynamics procedure. The possibility of constructing a corresponding quantum operator is critically analyzed also performing some numerical matrix element calculations. A comparison of the model with the Feynman diagram calculation at tree level is studied, showing a substantial physical correspondence of the two models.