Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations
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In contrast to the common wisdom, we discover that, instead of the exponential fall-off of the form factors with Regge-pole structure, the high-energy scattering amplitudes of string scattered from Domain-wall behave as power-law with Regge-pole structure. This is to be compared with the well-known power-law form factors without Regge-pole structure of the D-instanton scatterings. This discovery makes Domain-wall scatterings an unique example of a hybrid of string and field theory scatterings. The calculation is done for bosonic string scatterings of arbitrary massive string states from D-24 brane. Moreover, we discover that the usual linear relations of high-energy string scattering amplitudes at each fixed mass level break down for the Domain-wall scatterings. This result gives a strong evidence that the existence of the infinite linear relations, or stringy symmetries, of high-energy string scattering amplitudes is responsible for the softer, exponential fall-off high-energy string scatterings than the power-law field theory scatterings.
10 pages, no figure. v2: some minor corrections,refs added. v3: added Eq.(15), Ref[18] and many paragraphs in the Introduction.v4:Ref added
10 pages, no figure. v2: some minor corrections,refs added. v3: added Eq.(15), Ref[18] and many paragraphs in the Introduction.v4:Ref added