Light-Front Partons and Dimensional Reduction in Relativistic Field Theory

TL;DR

This paper explores how light-front partons lead to dimensional reduction in relativistic field theories, connecting lower and higher-dimensional models and discussing Lorentz symmetry and membrane analogies.

Contribution

It provides a simple framework for understanding the emergence of light-front partons and their role in relating different dimensional theories in relativistic field contexts.

Findings

Dimensional reduction relates 2+1 and 3+1 theories.

Proper treatment of parton configurations reconstructs full relativistic theory.

Connection between light-front partons and relativistic membranes.

Abstract

We present a simple discussion of the appearance of light-front partons in local field theory.The description in terms of partons provides a dimensional reduction which relates a 2+1 with a 3+1 dimensional theory for example. The possibility for existence of Lorentz symmetry and a connection to the relativistic membrane is described. It is shown how the reconstruction of the full relativistic field theory is possible with a proper treatment of the parton configuration space. Compared with the case of identical particles this involves keeping configurations where the partons are at the same points.