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

  • R. Pantförder
  • H. Rollnik
  • W. Pfeil
Theoretical physics

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.

Keywords

Charge Density Electric Charge Weak Interaction Testing Ground Electric Charge Density 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • R. Pantförder
    • 1
  • H. Rollnik
    • 1
  • W. Pfeil
    • 1
  1. 1. Physikalisches Institut der Universität Bonn, Nußallee 12, D-53115 Bonn, Germany (e-mail: pantfoer@thew01.physik.uni-bonn.de) DE

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