One-Loop Closed String 5-PARTICLE Fermion Amplitudes in the Covariant Formulation
Abstract
The closed superstring 2 fermion - 3 boson and 4 fermion - 1 boson scattering amplitudes at one loop level are calculated in the covariant formulation. We use the method of Atick and Sen and find that it can be applied to 5 particles without any major difficulties. The amplitudes are shown to have the correct factorization properties at kinematic poles, yielding as residues of these poles the well-known 4-particle amplitudes. The analysis shows, for the first time at the one-loop level, a verification of the supersymmetry properties of the vertices. We also discuss the symmetry properties of the amplitudes as a check of their correctness. The calculation requires some new theta-function identities and Fierz transformations in ten dimensions which we also prove and discuss.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1989
- Bibcode:
- 1989PhDT.......187L
- Keywords:
-
- FIVE-PARTICLE FERMION;
- FERMION;
- Physics: Elementary Particles and High Energy