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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 1 Issue 3/4 (1998) pp 585-592
theoretical physics:
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
Abstract. 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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Online publication: February 5, 1998
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