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Title: Poincare invariant algebra from instant to light-front quantization

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.

Authors:
;
Publication Date:
Sponsoring Org.:
(US)
OSTI Identifier:
40277428
DOE Contract Number:  
FG02-96ER40947
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 64; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.64.085013; Othernumber: PRVDAQ000064000008085013000001; 076118PRD; PBD: 15 Oct 2001; Journal ID: ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; ANGULAR MOMENTUM; ANGULAR MOMENTUM OPERATORS; INTERPOLATION; QUANTIZATION

Citation Formats

Ji, Chueng-Ryong, and Mitchell, Chad. Poincare invariant algebra from instant to light-front quantization. United States: N. p., 2001. Web. doi:10.1103/PhysRevD.64.085013.
Ji, Chueng-Ryong, & Mitchell, Chad. Poincare invariant algebra from instant to light-front quantization. United States. https://doi.org/10.1103/PhysRevD.64.085013
Ji, Chueng-Ryong, and Mitchell, Chad. 2001. "Poincare invariant algebra from instant to light-front quantization". United States. https://doi.org/10.1103/PhysRevD.64.085013.
@article{osti_40277428,
title = {Poincare invariant algebra from instant to light-front quantization},
author = {Ji, Chueng-Ryong and Mitchell, Chad},
abstractNote = {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.},
doi = {10.1103/PhysRevD.64.085013},
url = {https://www.osti.gov/biblio/40277428}, journal = {Physical Review D},
issn = {0556-2821},
number = 8,
volume = 64,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2001},
month = {Mon Oct 15 00:00:00 EDT 2001}
}