Causality in Covariant String Field Theory

Details Causality in Covariant String Field Theory Causality in Covariant String Field Theory

1996-08-20

arxiv.org/abs/hep-th/9608128v1

Phys.Lett. B394 (1997) 307-314

Physics

High Energy Physics

High Energy Physics - Theory

11 pages + 1 eps figure, LaTeX

Scientific paper

10.1016/S0370-2693(97)00016-6

Causality is studied in the covariant formulation of free string field theory (SFT). We find that, though the string field in the covariant formulation is a functional of the ghost coordinates as well as the space-time coordinate and the latter contains the time-like oscillators with negative norm, the condition for the commutator of two open string fields to vanish is simply given by $\int_0^\pi d\sigma\left(\Delta X^\mu(\sigma)\right)^2 >0$, which is the same condition as in the light-cone gauge SFT. For closed SFT, the corresponding condition is given in a form which is manifestly invariant under the rigid shifts of the $\sigma$ parameters of the two string fields.

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