Mass dependence of wightman function and light front singularity

TL;DR

This paper investigates the mass dependence of the Wightman function for a scalar field in light front formulation, introducing a new Fourier representation to resolve inconsistencies and interpret light front singularities as high momentum effects.

Contribution

It presents a novel Fourier representation for scalar fields that resolves longstanding inconsistencies in the light front formulation and offers a new interpretation of light front singularities.

Findings

Resolved the mass dependence inconsistency in light front Wightman functions

Introduced a new Fourier representation for scalar fields

Interpreted light front singularities as high momentum phenomena

Abstract

The Wightman function for a massive free scalar field is studied within the light front formulation, while a special attention is paid to its mass dependence. The long lasting inconsistency is successfully solved by means of the novel Fourier representation for scalar fields. The new interpretation of the light front singularities as the high momentum phenomena is presented and adequate regularizations are implemented.