Lightfront Formalism versus Holography&Chiral Scanning

TL;DR

This paper introduces a new holographic approach to quantum field theory that overcomes limitations of lightfront quantization, demonstrating its effectiveness in 1+1 models and proposing a method for higher dimensions.

Contribution

It proposes a novel holographic framework that avoids the restrictions of lightfront quantization, applicable to factorizable models and extendable to higher dimensions.

Findings

Holographic images retain ultraviolet properties of models.

The approach works for d=1+1 models without UV problems.

Higher dimensions require scanning with multiple lightfronts.

Abstract

The limitations of the approach based on using fields restricted to the lightfront (Lightfront Quantization or p$\to \infty $ Frame Approach) which drive quantum fields towards canonical and ultimately free fields are well known. Here we propose a new concept which does not suffer from this limitation. It is based on a procedure which cannot be directly formulated in terms of pointlike fields but requires ``holographic'' manipulations of the algebras generated by those fields. We illustrate the new concepts in the setting of factorizable d=1+1 models and show that the known fact of absence of ultraviolet problems in those models (in the presence of higher than canonical dimensions) also passes to their holographic images. In higher spacetime dimensions d\TEXTsymbol{>}1+1 the holographic image lacks the transversal localizability; however this can be remedied by doing holography on d-2 additional lightfronts which share one lightray (Scanning by d-1 chiral conformal theories).