English

Lightfront Formalism versus Holography&Chiral Scanning

High Energy Physics - Theory 2017-08-23 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics math.MP

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).

Keywords

Cite

@article{arxiv.hep-th/0108203,
  title  = {Lightfront Formalism versus Holography&Chiral Scanning},
  author = {Bert Schroer},
  journal= {arXiv preprint arXiv:hep-th/0108203},
  year   = {2017}
}

Comments

17 pages TCILatex, misprints in formulas of appendix corrected

R2 v1 2026-07-22T15:06:07.846Z