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Particles and Fields
Eur. Phys. J. C 1, 585-592

The Gerasimov-Drell-Hearn sum rule
and the infinite-momentum limit

R. Pantförder - H. Rollnik - W. Pfeil

Physikalisches Institut der Universität Bonn, Nußallee 12, D-53115 Bonn, Germany
(e-mail: pantfoer@thew01.physik.uni-bonn.de)

Received: 25 March 1997

We study the current-algebra approach to the Gerasimov-Drell-Hearn sum rule, paying particular attention to the infinite-momentum limit. Employing the ${\cal O}(\alpha^2)$ 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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