Subtleties in the Light-Cone Representation

TL;DR

This paper reviews the subtle issues involved in the light-cone representation of quantum field theories, emphasizing the role of zero modes and their impact on high-energy phenomena, using the Schwinger model as a case study.

Contribution

It highlights the necessity of additional formalism, including zero modes, for accurate light-cone and equal-time representation isomorphism, especially in high-energy contexts.

Findings

Zero modes are crucial for accurate light-cone representation.

Additional formalism improves understanding of high-energy phenomena.

Schwinger model illustrates these subtleties effectively.

Abstract

To produce an isomorphism between the light-cone and equal-time representations some additional formalism beyond that originally proposed for the light-cone representation may sometimes be required. The additional formalism usually involves zero modes and is most likely to affect delicate, high energy aspects of the solution such as condensates. In this talk I will review some of the information which has been obtained in the past few years on these issues with particular emphasis on the Schwinger model as an example.