Light-front quantization is the same as instant-time quantization
Abstract
Commutation or anticommutation relations quantized at equal instant time and commutation or anticommutation relations quantized at equal light-front time cannot be transformed into each other. While they would thus appear to describe different theories, we show that this is not in fact the case. In instant-time quantization unequal instant-time commutation or anticommutation relations for free scalar, fermion, or gauge boson fields are c-numbers. We show that when these unequal instant-time commutation or anticommutation relations are evaluated at equal light-front time they are identical to the equal light-front time commutation or anticommutation relations. Light-front quantization and instant-time quantization are thus the same and thus describe the same physics.
Keywords
Cite
@article{arxiv.2001.04603,
title = {Light-front quantization is the same as instant-time quantization},
author = {Philip D. Mannheim},
journal= {arXiv preprint arXiv:2001.04603},
year = {2020}
}
Comments
7 pages. Prepared for proceedings of "Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions". This is the conference version of arXiv:1909.03548 [hep-ph], with which it thus has substantial overlap