Structure of light front vacuum sector diagrams
Abstract
We study the structure of scalar field light front quantization vacuum graphs. In instant time quantization both non-vacuum and vacuum graphs can equivalently be described by either the off-shell four-dimensional Feynman diagram approach or the on-shell three-dimensional Fock space approach, with this being the case since the relevant Feynman diagrams are given entirely by pole terms. This is also the case for light front quantization non-vacuum graphs. However this is the not the case for light front vacuum sector diagrams, since then there are also circle at infinity contributions to Feynman diagrams. These non-pole contributions cause vacuum diagrams to be nonzero and to not be given by a light-front Hamiltonian Fock space analysis. The three-dimensional approach thus fails in the light front vacuum sector. In consequence, the closely related infinite momentum frame approach also fails in the light front vacuum sector.
Keywords
Cite
@article{arxiv.1904.05253,
title = {Structure of light front vacuum sector diagrams},
author = {Philip D. Mannheim and Peter Lowdon and Stanley J. Brodsky},
journal= {arXiv preprint arXiv:1904.05253},
year = {2019}
}
Comments
12 pages,