Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-14
Nucl.Phys.B784:22-35,2007
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 1 figure
Scientific paper
10.1016/j.nuclphysb.2007.06.005
We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta ((m/R),(1/2)nR), we obtain infinite linear relations among high energy scattering amplitudes of different string states. For some kinematic regimes, we discover that linear relations with N_{R}=N_{L} break down and, simultaneously, the amplitudes enhance to power-law behavior instead of the usual expoential fall-off behavior at high energies. It is the space-time T-duality symmetry that plays a role here. This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also reminiscent of our previous work on the power-law behavior of high energy string/domain-wall scatterings.
Lee Jen-Chi
Yang Yi
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