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arXiv · 1904.05253

Structure of light front vacuum sector diagrams

Philip D. Mannheim·Peter Lowdon·Stanley J. Brodsky
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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.

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Philip D. Mannheim, Peter Lowdon, Stanley J. Brodsky. 2019-04-10. Structure of light front vacuum sector diagrams. https://doi.org/10.1016/j.physletb.2019.134916

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