GaugeInvariant Scaling Model of Current Interactions with Regge Behavior and Finite FixedPole 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 infinitemomentumframe 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 fieldtheoretic constituents which incorporates the above properties is the existence of a constant energyindependent and q^{2}independent term in T_{1}(ν, q^{2}) (a "Kronecker delta" δ_{J0} term) and a J = 0 fixed pole in T_{2}(ν, q^{2}). Sum rules for general Compton amplitudes are derived and a discussion of mass renormalization for electromagnetic selfenergy 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 partonproton uchannel 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 Laboratory (SLAC), Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1442850
 Report Number(s):
 SLACPUB1243
Journal ID: ISSN 05562821; PRVDAQ; TRN: US1900936
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 8; Journal Issue: 10; Journal ID: ISSN 05562821
 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. GaugeInvariant Scaling Model of Current Interactions with Regge Behavior and Finite FixedPole Sum Rules. United States: N. p., 1973.
Web. doi:10.1103/PhysRevD.8.3678.
Brodsky, Stanley J., Close, Francis E., & Gunion, J. F. GaugeInvariant Scaling Model of Current Interactions with Regge Behavior and Finite FixedPole Sum Rules. United States. https://doi.org/10.1103/PhysRevD.8.3678
Brodsky, Stanley J., Close, Francis E., and Gunion, J. F. Thu .
"GaugeInvariant Scaling Model of Current Interactions with Regge Behavior and Finite FixedPole Sum Rules". United States. https://doi.org/10.1103/PhysRevD.8.3678. https://www.osti.gov/servlets/purl/1442850.
@article{osti_1442850,
title = {GaugeInvariant Scaling Model of Current Interactions with Regge Behavior and Finite FixedPole 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 infinitemomentumframe 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 fieldtheoretic constituents which incorporates the above properties is the existence of a constant energyindependent and q2independent 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 selfenergy 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 partonproton uchannel 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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