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. doi: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 = {Tue Oct 01 00:00:00 EDT 2019},
month = {Tue Oct 01 00:00:00 EDT 2019}
}
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https://doi.org/10.1016/j.physletb.2019.134916
https://doi.org/10.1016/j.physletb.2019.134916
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Cited by: 9 works
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Fig. 1: Disconnected and connected 〈Ω |φ(0)φ(0)| Ω〉.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.