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Theory of an interacting string and dual-resonance model

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  • M. Ademollo 1,2
  • A. D’Adda 2,3
  • R. D’Auria 2,3
  • E. Napolitano 2,3
  • S. Sciuto 2,3
  • P. Di Vecchia 4
  • F. Gliozzi 4
  • R. Musto 2,5
  • F. Nicodemi 2,5
  • Istituto di Fisica Teorica dell’Università, Firenze
  • Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy
  • Istituto di Fisica Teorica dell’Università, Torino
  • CERN, Geneva
  • Istituto di Fisica Teorica dell’Università, Napoli

In this paper we study the problem of an interacting string. In the case of an open string the interaction is introduced by adding in the Lagrangian an additional term which describes the interaction of the string with an external «photonlike» field. The interaction is acting only at the ends of the string to keep the invariance of the Lagrangian under reparametrization. The equation of motion of the string is exactly solved in the case of a monochromatic external field. All the spectrum properties already known in the case of a free string are left unchanged by the interaction. In addition we show that the probability of emission ofn «photons» off the string reproduces the dual amplitude of the conventional model with «photons» as external particles. In the case of a closed string the interaction is obtained by introducing in the free Lagrangian a four-dimensional metric tensorg ?? (x) associated with a curved space as in the theory of general relativity. Also in this case the equation of motion of the string in an external «gravitational» field are exactly solved for a monochromatic «graviton» field. All the main features of the Shapiro-Virasoro model are then reproduced starting from this description of a closed string.

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Il Nuovo Cimento A Series 11

Springer (journals)
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  • String theory
Catégories Science-Metrix
  • 1 - natural sciences ; 2 - physics & astronomy ; 3 - nuclear & particles physics
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - physique ; 4 - generalites
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