# Wigner distributions for an electron

## TL;DR

This paper explores the Wigner distributions of a physical electron, revealing its multidimensional internal structure and spin correlations, by modeling it as a composite of a bare electron and photon.

## Contribution

It provides the first detailed calculation of Wigner distributions and GTMDs for a physical electron considering various polarization states.

## Key findings

- Wigner distributions are mapped in transverse momentum and impact parameter planes.
- Spin-spin correlations between bare and physical electron are analyzed.
- Leading twist GTMDs for the electron are evaluated.

## Abstract

We study the Wigner distributions for a physical electron, which reveal the multidimensional images of the electron. The physical electron is considered as a composite system of a bare electron and photon. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized electron are presented in transverse momentum plane as well as in impact parameter plane. The spin-spin correlations between the bare electron and the physical electron are discussed. We also evaluate all the leading twist generalized transverse momentum distributions (GTMDs) for electron.