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Dispersion relations in string theory

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Abstract

We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the gravitonmultiplet in the Type II superstring. In particular we obtain explicit double and single dispersion relations, formulas for all the successive branch cuts extending out to +∞, as well as for the decay rate of a massive string state of arbitrary mass2N into two string states of lower mass. We compare our results with the box diagram in a superposition of φ3-like field theories. The stringy effects are traced to a convergence problem in this superposition.

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References

  1. K. Aoki, E. D'Hoker, and D. H. Phong, Nucl. Phys.B 342 (1990) 149.

    Google Scholar 

  2. M.B. Green and J. Schwarz, Phys. Lett.109B (1982) 444.

    Google Scholar 

  3. M.B. Green, J. Schwarz, and E. Witten,Superstring Theory, Cambridge University Press, 1987.

  4. E. D'Hoker and D.H. Phong, Rev.Mod. Physics60 (1988) 917.

    Google Scholar 

  5. E. D'Hoker and D.H. Phong, Phys. Rev. Lett.70 (1993) 3692.

    Google Scholar 

  6. G. Chew,The Analytic S-matrix, W. A. Benjamin (1966).

  7. R.J. Eden, P.V. Landshoff, D.I.Olive, and J.C. Polkinghorne,The Analytic S-Matrix, Cambridge University Press (1966).

  8. M.B. Green, J.H. Schwarz, and L. Brink, Nucl. Phys.B 198 (1982) 474.

    Google Scholar 

  9. K. Amano, Nucl. Phys.B 328 (1989) 510.

    Google Scholar 

  10. J. Montag and W.I. Weisberger, Nucl. Phys.B363 (1991) 527.

    Google Scholar 

  11. S. Mandelstam, Phys. Rev.112 (1958) 1344;115 (1959) 1741.

    Google Scholar 

  12. C. B. Chiu and S. Matsuda, Nucl. Phys.B 134 (1978) 463; V. A. Miranski, V. P. Shelest, B. V. Struminsky, and G. M. Zinovjev, Phys. Lett.B43 (1973) 73.

    Google Scholar 

  13. K. Amano and A. Tsuchiya, Phys. Rev.D 39 (1989) 565; B. Sundborg, Nucl. Phys.B328 (1989) 415; D. Mitchell, N. Turok, R. Wilkinson, and P. Jetzer, Nucl. Phys.B315 (1989) 1; N. Marcus, Phys. Lett.B219 (1989) 265; A. Berera, Report No. LBL-32248 (1992).

    Google Scholar 

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Authors
  1. Eric D'Hoker
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  2. D. H. Phong
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98. No. 3, pp. 442–455, March, 1994.

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D'Hoker, E., Phong, D.H. Dispersion relations in string theory. Theor Math Phys 98, 306–316 (1994). https://doi.org/10.1007/BF01102207

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  • DOI: https://doi.org/10.1007/BF01102207

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