The Gerasimov-Drell-Hearn sum rule and the infinite-momentum limit
classification
✦ hep-ph
keywords
gerasimov-drell-hearninfinite-momentumlimitrulealgebraanomalousapproachattention
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We study the current-algebra approach to the Gerasimov-Drell-Hearn sum rule, paying particular attention to the infinite-momentum limit. Employing the order-alpha^2 Weinberg-Salam model of weak interactions as a testing ground, we find that the legitimacy of the infinite-momentum limit is intimately connected with the validity of the naive equal-times algebra of electric charge densities. Our results considerably reduce the reliability of a recently proposed modification of the Gerasimov-Drell-Hearn sum rule, originating from an anomalous charge-density algebra.
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