String Theory and The Velo-Zwanziger Problem

Details String Theory and The Velo-Zwanziger Problem String Theory and The Velo-Zwanziger Problem

2010-11-29

arxiv.org/abs/1011.6411v2

Nucl.Phys.B846:250-282,2011

Physics

High Energy Physics

High Energy Physics - Theory

45 pages; to appear in Nuclear Physics B; references added, minor typos corrected

Scientific paper

10.1016/j.nuclphysb.2011.01.007

We examine the behavior of the leading Regge trajectory of the open bosonic string in a uniform electromagnetic background and present a consistent set of Fierz-Pauli conditions for these symmetric tensors that generalizes the Argyres-Nappi spin-2 result. These equations indicate that String Theory does bypass the Velo-Zwanziger problem, i.e. the loss of causality experienced by a massive high-spin field minimally coupled to electromagnetism. Moreover, we provide some evidence that only the first Regge trajectory can be described in isolation and show that the open-string spectrum is free of ghosts in weak constant backgrounds. Finally, we comment on the roles of the critical dimension and of the gyromagnetic ratio.

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