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• W2022210752 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 ${T}_{1}(ensuremath{nu}, {q}^{2})$ (a Kronecker delta ${ensuremath{delta}}_{J0}$ term) and a $J=0$ fixed pole in ${T}_{2}(ensuremath{nu}, {q}^{2})$. 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. Analytic continuation in $ensuremath{alpha}$ is thus justified." @default.
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• W2022210752 date "1973-11-15" @default.
• W2022210752 modified "2023-09-23" @default.
• W2022210752 title "Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules" @default.
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• W2022210752 doi "https://doi.org/10.1103/physrevd.8.3678" @default.
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