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Mass splittings and the finiteness problem of mass shifts in the type-II superstring at one-loop order

Kaoru Amano and Akihiko Tsuchiya

  • Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo, 152 Japan

Phys. Rev. D 39, 565 – Published 15 January, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.565

Abstract

The on-shell two-point amplitudes in the type-II superstring are constructed for some states in the NS-NS (where NS denotes Neveu-Schwarz) sector in the old covariant formalism. The result indicates that the second and higher mass levels split at one-loop corrections. Also it is noted that the integral representations do not readily give on-shell amplitudes and there is some difficulty in demonstrating the finiteness of the two-point amplitudes despite their on-shell modular invariance.

References (7)

  1. S. Weinberg, in Proceedings of the Oregon Meeting, Annual Meeting of the Division of Particles and Fields of the APS, Eugene, Oregon, 1985, edited by R. C. Hwa (World Scientific, Singapore, 1986), p. 850; see also N. Seiberg, Phys. Lett. B 187, 56 (1987); A. Sen, Nucl. Phys. B304, 403 (1988).
  2. O. Foda, Phys. Lett. B 191, 75 (1987).
  3. H. Yamamoto, Prog. Theor. Phys. 79, 189 (1988).
  4. See, for example, S. Yahikozawa, Nucl. Phys. B291, 369 (1987).
  5. M. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, England, 1987), Vols. 1 and 2.
  6. Weinberg, in Proceedings of the Oregon Meeting (Ref. 1). The factorization in Sec. IV is not rigorous enough by the standard required in Sec. V for the definition of two-point amplitudes.
  7. For example, Superstring Theory (Ref. 5), Sec. 9.2.

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