Relation between instant and light-front formulations of quantum field theory

Abstract

Dirac showed that relativity implied three different forms of quantum mechanics (instant, point, and light-front) depending on how boosts and translation generators account for interactions. However, it is non-trivial to prove that these representations are equivalent in quantum field theory. Here, the author demonstrates using non-perturbative techniques that equivalent representations between instant-form and light-front dynamics can be constructed, based on assumptions of a local quantum field theory.

Topics & Concepts