Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules
Journal Article
·
· Physical Review. D, Particles Fields
BS>A general nonperturbative model for the entire Compton amplitude which incoporates 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 wrth field-theoretic constituents which incorporates the above properties is thc existence of a constant energy-independent and qi-independent term in q/sup 2/) (a Kronecker delta'' delta /sub JO/ term) and a J = O fixed pole in T/sub 2/( nu , q/sup 2/). Sum rules for general Compton amplitudes are derived an d a discussion of mass renormalization for electromagnetic self-energy correction of hadrons is presented. We demonstrate that such sum rules are always finite, even in the presence of Regge behavior, when subtraction temns in the underlying parton-proton u-channel dispersion relation are taken into account. Analytical continuation in alpha is thus justified.
- Research Organization:
- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-022505
- OSTI ID:
- 4321751
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 8; ISSN PRVDAQ; ISSN 0556-2821
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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