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Title: 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 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 light-front 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.

Authors:
; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1560703
Alternate Identifier(s):
OSTI ID: 1576514
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 797 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Mannheim, Philip D., Lowdon, Peter, and Brodsky, Stanley J. Structure of light-front vacuum sector diagrams. Netherlands: N. p., 2019. Web. https://doi.org/10.1016/j.physletb.2019.134916.
Mannheim, Philip D., Lowdon, Peter, & Brodsky, Stanley J. Structure of light-front vacuum sector diagrams. Netherlands. https://doi.org/10.1016/j.physletb.2019.134916
Mannheim, Philip D., Lowdon, Peter, and Brodsky, Stanley J. Tue . "Structure of light-front vacuum sector diagrams". Netherlands. https://doi.org/10.1016/j.physletb.2019.134916.
@article{osti_1560703,
title = {Structure of light-front vacuum sector diagrams},
author = {Mannheim, Philip D. and Lowdon, Peter and Brodsky, Stanley J.},
abstractNote = {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 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 light-front 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.},
doi = {10.1016/j.physletb.2019.134916},
journal = {Physics Letters B},
number = C,
volume = 797,
place = {Netherlands},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2019.134916

Citation Metrics:
Cited by: 3 works
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Figures / Tables:

Fig. 1 Fig. 1: Disconnected and connected 〈Ω |φ(0)φ(0)| Ω〉.

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Works referenced in this record:

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.