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Title: 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 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 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:
 [1];  [2];  [3]
  1. Stanford Univ., Stanford, CA (United States)
  2. Stanford Univ., Stanford, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  3. 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. doi: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. doi: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}
}

Journal Article:
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