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 = {2019},
month = {10}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2019.134916
https://doi.org/10.1016/j.physletb.2019.134916
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
Fig. 1: Disconnected and connected 〈Ω |φ(0)φ(0)| Ω〉.
All figures and tables
(2 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
No-Ghost Theorem for the Fourth-Order Derivative Pais-Uhlenbeck Oscillator Model
journal, March 2008
- Bender, Carl M.; Mannheim, Philip D.
- Physical Review Letters, Vol. 100, Issue 11
Localisation in worldline pair production and lightfront zero-modes
journal, September 2014
- Ilderton, Anton
- Journal of High Energy Physics, Vol. 2014, Issue 9
Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame
journal, December 1973
- Brodsky, Stanley J.; Roskies, Ralph; Suaya, Roberto
- Physical Review D, Vol. 8, Issue 12
Light-cone quantization for massless fields
journal, June 1988
- McCartor, G.
- Zeitschrift für Physik C Particles and Fields, Vol. 41, Issue 2
Light-front formulation of the standard model
journal, August 2002
- Srivastava, Prem P.; Brodsky, Stanley J.
- Physical Review D, Vol. 66, Issue 4
Chiral condensate and short-time evolution of (1+1)-dimensional QCD on the light cone
journal, May 2002
- Burkardt, Matthias; Lenz, Frieder; Thies, Michael
- Physical Review D, Vol. 65, Issue 12
Exclusive processes in perturbative quantum chromodynamics
journal, November 1980
- Lepage, G. Peter; Brodsky, Stanley J.
- Physical Review D, Vol. 22, Issue 9
Light-front view of the axial anomaly
journal, May 1996
- Ji, Chueng-Ryong; Rey, Soo-Jong
- Physical Review D, Vol. 53, Issue 10
Quantum chromodynamics and other field theories on the light cone
journal, August 1998
- Brodsky, S.
- Physics Reports, Vol. 301, Issue 4-6
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979
- Peter Lepage, G.; Brodsky, Stanley J.
- Physics Letters B, Vol. 87, Issue 4
Light-front quantum chromodynamics
journal, June 2014
- Bakker, B. L. G.; Bassetto, A.; Brodsky, S. J.
- Nuclear Physics B - Proceedings Supplements, Vol. 251-252
Quantum field theory off null planes
journal, February 1971
- Neville, R. A.; Rohrlich, F.
- Il Nuovo Cimento A, Vol. 1, Issue 4
Relativistic dynamics on a null plane
journal, May 1978
- Leutwyler, H.; Stern, J.
- Annals of Physics, Vol. 112, Issue 1
Quantum Field Theories in the Infinite-Momentum Frame. IV. Scattering Matrix of Vector and Dirac Fields and Perturbation Theory
journal, March 1973
- Yan, Tung-Mow
- Physical Review D, Vol. 7, Issue 6
Chiral magnetism (or magnetohadrochironics)
journal, January 1974
- Casher, Aharon; Susskind, Leonard
- Physical Review D, Vol. 9, Issue 2
Restoring the equivalence between the light-front and manifestly covariant formalisms
journal, October 2005
- Bakker, Bernard L. G.; DeWitt, Martin A.; Ji, Chueng-Ryong
- Physical Review D, Vol. 72, Issue 7
Forms of Relativistic Dynamics
journal, July 1949
- Dirac, P. A. M.
- Reviews of Modern Physics, Vol. 21, Issue 3
Condensates in quantum chromodynamics and the cosmological constant
journal, December 2010
- Brodsky, Stanley J.; Shrock, Robert
- Proceedings of the National Academy of Sciences, Vol. 108, Issue 1
Feynman Rules and Quantum Electrodynamics at Infinite Momentum
journal, April 1969
- Chang, Shau-Jin; Ma, Shang-Keng
- Physical Review, Vol. 180, Issue 5
Dynamics at Infinite Momentum
journal, October 1966
- Weinberg, Steven
- Physical Review, Vol. 150, Issue 4
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.