Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules
Abstract
A general nonperturbative model for the entire Compton amplitude which incorporates Bjorken scaling, gauge invariance, and Regge behavior is presented. We show that a covariantly regularized model based on the infinite-momentum-frame techniques of Drell, Levy, and Yan is equivalent to the manifestly covariant nonperturbative parton model of Landshoff, Polkinghorne, and Short. We also demonstrate that a general consequence of composite theories of hadrons with field-theoretic constituents which incorporates the above properties is the existence of a constant energy-independent and q2-independent term in T1(ν, q2) (a "Kronecker delta" δJ0 term) and a J = 0 fixed pole in T2(ν, q2). Sum rules for general Compton amplitudes are derived and a discussion of mass renormalization for electromagnetic self-energy corrections of hadrons is presented. We demonstrate that such sum rules are always finite, even in the presence of Regge behavior, when subtraction terms in the underlying parton-proton u-channel dispersion relation are taken into account. Here, analytic continuation in α is thus justified.
- Authors:
-
- Stanford Univ., Stanford, CA (United States)
- Stanford Univ., Stanford, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Stanford Univ., Stanford, CA (United States); Daresbury Nuclear Physics Lab. (England)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1442850
- Report Number(s):
- SLAC-PUB-1243
Journal ID: ISSN 0556-2821; PRVDAQ; TRN: US1900936
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 8; Journal Issue: 10; Journal ID: ISSN 0556-2821
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Brodsky, Stanley J., Close, Francis E., and Gunion, J. F. Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules. United States: N. p., 1973.
Web. doi:10.1103/PhysRevD.8.3678.
Brodsky, Stanley J., Close, Francis E., & Gunion, J. F. Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules. United States. https://doi.org/10.1103/PhysRevD.8.3678
Brodsky, Stanley J., Close, Francis E., and Gunion, J. F. Thu .
"Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules". United States. https://doi.org/10.1103/PhysRevD.8.3678. https://www.osti.gov/servlets/purl/1442850.
@article{osti_1442850,
title = {Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules},
author = {Brodsky, Stanley J. and Close, Francis E. and Gunion, J. F.},
abstractNote = {A general nonperturbative model for the entire Compton amplitude which incorporates Bjorken scaling, gauge invariance, and Regge behavior is presented. We show that a covariantly regularized model based on the infinite-momentum-frame techniques of Drell, Levy, and Yan is equivalent to the manifestly covariant nonperturbative parton model of Landshoff, Polkinghorne, and Short. We also demonstrate that a general consequence of composite theories of hadrons with field-theoretic constituents which incorporates the above properties is the existence of a constant energy-independent and q2-independent term in T1(ν, q2) (a "Kronecker delta" δJ0 term) and a J = 0 fixed pole in T2(ν, q2). Sum rules for general Compton amplitudes are derived and a discussion of mass renormalization for electromagnetic self-energy corrections of hadrons is presented. We demonstrate that such sum rules are always finite, even in the presence of Regge behavior, when subtraction terms in the underlying parton-proton u-channel dispersion relation are taken into account. Here, analytic continuation in α is thus justified.},
doi = {10.1103/PhysRevD.8.3678},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 8,
place = {United States},
year = {1973},
month = {11}
}
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Works referenced in this record:
Fixed Poles in Compton Scattering - Light-Cone Approach
journal, June 1972
- Bander, Myron
- Physical Review D, Vol. 5, Issue 12
Large-Angle Scattering and the Interchange Force
journal, July 1973
- Gunion, J. F.; Brodsky, S. J.; Blankenbecler, R.
- Physical Review D, Vol. 8, Issue 1
Fixed Poles in Virtual Compton Amplitudes
journal, April 1970
- Cheng, T. P.; Tung, Wu-Ki
- Physical Review Letters, Vol. 24, Issue 15
Deep-Inelastic Scattering and Static Properties of the Baryons in the Quark-Gluon Model
journal, July 1973
- Broadhurst, D. J.; Gunion, J. F.; Jaffe, R. L.
- Physical Review D, Vol. 8, Issue 2
Partons, Electromagnetic Mass Shifts, and the Approach to Scaling
journal, May 1972
- Weisberger, William I.
- Physical Review D, Vol. 5, Issue 10
Quantum electrodynamics and renormalization theory in the infinite momentum frame
journal, October 1972
- Brodsky, S. J.; Roskies, R.
- Physics Letters B, Vol. 41, Issue 4
Multiphoton Exchange Amplitudes at Infinite Energy
journal, December 1969
- Chang, Shau-Jin; Ma, Shang-keng
- Physical Review, Vol. 188, Issue 5
Scaling Properties and the Bound-State Nature of the Physical Nucleon
journal, April 1972
- Drell, S. D.; Lee, T. D.
- Physical Review D, Vol. 5, Issue 7
A non perturbative parton model of current interactions
journal, May 1971
- Landshoff, P. V.; Polkinghorne, J. C.; Short, R. D.
- Nuclear Physics B, Vol. 28, 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
Phenomenology of Photon Processes, Vector Dominance, and Crucial Tests for Parton Models
journal, July 1972
- Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F.
- Physical Review D, Vol. 6, Issue 1
Partons and their applications at high energies
journal, August 1971
- Drell, Sidney D.; Yan, Tung-Mow
- Annals of Physics, Vol. 66, Issue 2
Feynman Rules and Quantum Electrodynamics at Infinite Momentum
journal, April 1969
- Chang, Shau-Jin; Ma, Shang-Keng
- Physical Review, Vol. 180, Issue 5
Composite theory of large angle scattering and new tests of parton concepts
journal, May 1972
- Gunion, J. F.; Brodsky, S. J.; Blankenbecler, R.
- Physics Letters B, Vol. 39, Issue 5
Deep-Inelastic Scattering, the Subtraction of Divergent Sum Rules, and Chiral-Symmetry Breaking in the Gluon Model
journal, April 1973
- Jaffe, R. L.; Llewellyn Smith, C. H.
- Physical Review D, Vol. 7, Issue 8
Fixed-Pole Analysis of the Deuteron Compton Amplitude
journal, July 1973
- Gunion, J.; Suaya, R.
- Physical Review D, Vol. 8, Issue 1
Fixed-mass sum rules in a non-perturbative parton-model framework
journal, April 1973
- Hughes, R. P.; Osborn, H.
- Nuclear Physics B, Vol. 54, Issue 2
Renormalization and Analysis of the Cottingham Formula and the Consistency of SU(3) and Electromagnetic Mass Shifts in Parton Models
journal, July 1973
- Gunion, J. F.
- Physical Review D, Vol. 8, Issue 2
Singularities of Scattering Amplitudes on Unphysical Sheets and Their Interpretation
journal, July 1961
- Blankenbecler, R.; Goldberger, M. L.; MacDowell, S. W.
- Physical Review, Vol. 123, Issue 2
Forward Compton Scattering
journal, March 1970
- Damashek, Marc; Gilman, Frederick J.
- Physical Review D, Vol. 1, Issue 5
Evaluation of the Fixed Pole in Neutron Compton Scattering
journal, September 1972
- Dominguez, C. A.; Gunion, J. F.; Suaya, R.
- Physical Review D, Vol. 6, Issue 5
Compton Scattering and Fixed Poles in Parton Field-Theoretic Models
journal, March 1972
- Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F.
- Physical Review D, Vol. 5, Issue 6
Fixed Poles in Compton Amplitudes, and the Pomeranchukon Coupling
journal, April 1972
- Landshoff, P. V.; Polkinghorne, J. C.
- Physical Review D, Vol. 5, Issue 8
Dynamical Model of Hadrons with Fermion Quarks
journal, December 1972
- Drell, S. D.; Johnson, K.
- Physical Review D, Vol. 6, Issue 11
Can Quarks Be Kept Inside Hadrons?
journal, August 1972
- Johnson, K.
- Physical Review D, Vol. 6, Issue 4
Two Asymptotic Sum Rules for Electroproduction and Photoproduction
journal, May 1970
- Cornwall, John M.; Corrigan, Dennis; Norton, Richard E.
- Physical Review Letters, Vol. 24, Issue 20
Forward compton scattering sum rules and J=0 singularities
journal, March 1970
- Dominguez, C. A.; Ferro Fontan, C.; Suaya, R.
- Physics Letters B, Vol. 31, Issue 6
Dynamics at Infinite Momentum
journal, October 1966
- Weinberg, Steven
- Physical Review, Vol. 150, Issue 4
Scaling, Fixed Poles, and Electroproduction Sum Rules
journal, January 1971
- Cornwall, John M.; Corrigan, Dennis; Norton, Richard E.
- Physical Review D, Vol. 3, Issue 2
Works referencing / citing this record:
To What Extent is Gluon Confinement an Empirical Fact?
journal, December 2012
- Delgado, R. L.; Hidalgo-Duque, Carlos; Llanes-Estrada, Felipe J.
- Few-Body Systems, Vol. 54, Issue 11
The spin structure of the nucleon
journal, June 2019
- Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
- Reports on Progress in Physics, Vol. 82, Issue 7
Two-photon exchange contribution to elastic electron-nucleonscattering at large momentum transfer
journal, July 2005
- Afanasev, Andrei V.; Brodsky, Stanley J.; Carlson, Carl E.
- Physical Review D, Vol. 72, Issue 1
Flexible parametrization of generalized parton distributions from deeply virtual Compton scattering observables
journal, August 2011
- Goldstein, Gary R.; Hernandez, J. Osvaldo Gonzalez; Liuti, Simonetta
- Physical Review D, Vol. 84, Issue 3
Exclusive Electroproduction of Lepton Pairs as a Probe of Nucleon Structure
journal, January 2003
- Belitsky, A. V.; Müller, D.
- Physical Review Letters, Vol. 90, Issue 2
The hadronic properties of the photon in high-energy interactions
journal, April 1978
- Bauer, T. H.; Spital, R. D.; Yennie, D. R.
- Reviews of Modern Physics, Vol. 50, Issue 2
GPD phenomenology and DVCS fitting: Entering the high-precision era
journal, June 2016
- Kumerički, Krešimir; Liuti, Simonetta; Moutarde, Hervé
- The European Physical Journal A, Vol. 52, Issue 6
The spin structure of the nucleon
journal, January 2005
- Kabuss, Eva-Maria
- Czechoslovak Journal of Physics, Vol. 55, Issue S1
The spin structure of the nucleon
journal, January 1994
- Bass, S. D.; Thomas, A. W.
- Progress in Particle and Nuclear Physics, Vol. 33
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course
conference, April 2017
- Frois, B.; Hughes, V. W.; de Groot, N.
- International School of Nucleon Structure, The Spin Structure of the Nucleon
Exclusive electroproduction of lepton pairs as a probe of nucleon structure
text, January 2002
- Belitsky, A. V.; Müller, D.
- arXiv