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 q²-independent term in T₁(ν, q²) (a "Kronecker delta" δ_J0 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:

Brodsky, Stanley J. ^[1]; Close, Francis E. ^[2]; Gunion, J. F. ^[3]

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+ Show Author Affiliations

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:

1973-11-15

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