Point-form quantum field theory and meson form factors

TL;DR

This paper reviews point-form quantum field theory, a relativistic quantization method on Lorentz-invariant surfaces, and demonstrates its application in calculating the electromagnetic form factor of a confined quark-antiquark pair, like the pion.

Contribution

It introduces point-form quantum field theory and applies it to compute meson form factors within a relativistic quantum mechanics framework.

Findings

Successful calculation of pion electromagnetic form factor

Illustration of point-form QFT in a practical meson model

Potential for broader applications in relativistic hadron physics

Abstract

We shortly review point-form quantum field theory, i.e. the canonical quantization of a relativistic field theory on a Lorentz-invariant surface of the form $x_\mu x^\mu = \tau^2$. As an example of how point-form quantum field theory may enter the framework of relativistic quantum mechanics we discuss the calculation of the electromagnetic form factor of a confined quark-antiquark pair (e.g. the pion).