Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?

Details Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes? Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?

2003-10-14

arxiv.org/abs/hep-th/0310123v4

JHEP 0405 (2004) 053

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, references added, more solutions added, reference added

Scientific paper

10.1088/1126-6708/2004/05/053

We find Lorentzian solutions of spacetime noncommutative gauge theories that are localized exponentially in space and time. Together with time translational invariance of the theories, we argue that perurbative S matrix formulation of such theories is problematic in the sense that the S matrix based on free in and out states misses the spacetime localized degrees. We show that, in 3+1 dimensions, the problem disappears for the cases where the noncommutativity becomes purely spatial by an appropriate Lorentz transformation or the noncommutativity is lightlike with its electric and magnetic parts orthogonal to each other.

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