Mass renormalization in string theory: special states
- 190 Downloads
String theory gives a well defined procedure for computing the S-matrix of BPS or a class of massless states, but similar calculation for general massive states is plagued with difficulties due to mass renormalization effect. In this paper we describe a procedure for computing the renormalized masses and S-matrix elements in bosonic string theory for a special class of massive states which do not mix with unphysical states under renormalization. Even though this requires working with off-shell amplitudes which are ambiguous, we show that the renormalized masses and S-matrix elements are free from these ambiguities. We also argue that the masses and S-matrix elements for general external states can be found by examining the locations of the poles and the residues of the S-matrix of special states. Finally we discuss generalizations to heterotic and superstring theories.
KeywordsSuperstrings and Heterotic Strings Bosonic Strings
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- S. Weinberg, Radiative corrections in string theory, in The Oregon Meeting, Proceedings of the Annual Meeting of the Division of Particles and Fields of the APS, Eugene, Oregon, 1985, R.C. Hwa ed., World Scientific, Singapore (1986).Google Scholar
- C.J.H. Lee, BRST anomalies and mass renormalization with anomalous U(1) gauge symmetries in string theory, UMI-92-24830 (1992) [INSPIRE].