English

Poincare Invariant Algebra From Instant to Light-Front Quantization

High Energy Physics - Phenomenology 2009-11-07 v1

Abstract

We present the Poincare algebra interpolating between instant and light-front time quantizations. The angular momentum operators satisfying SU(2) algebra are constructed in an arbitrary interpolation angle and shown to be identical to the ordinary angular momentum and Leutwyler-Stern angular momentum in the instant and light-front quantization limits, respectively. The exchange of the dynamical role between the transverse angular mometum and the boost operators is manifest in our newly constructed algebra.

Cite

@article{arxiv.hep-ph/0105193,
  title  = {Poincare Invariant Algebra From Instant to Light-Front Quantization},
  author = {Chueng-Ryong Ji and Chad Mitchell},
  journal= {arXiv preprint arXiv:hep-ph/0105193},
  year   = {2009}
}

Comments

21 pages, 3 figures, 1 table

R2 v1 2026-07-22T13:34:01.411Z