One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit

Abstract

Perturbative spectra and related factorization properties of one-loop open string amplitudes in the presence of a constant external background B are analysed in detail. While the pattern of the closed string spectrum, obtained after a careful study of the properly symmetrized amplitudes, turns out to be unaffected by the presence of B, a series of double open-string poles, which would be absent when B is turned off, can couple owing to a partial symmetry loss. These features are studied first in a bosonic setting and then generalized in the more satisfactory superstring context. When the background is of an ``electric'' type, a classical perturbative instability is produced beyond a critical value of the electric field. In the Seiberg-Witten limit this instability is the origin of the unphysical tachyonic cut occurring in the non-planar amplitudes of the corresponding noncommutative field theories.

27 pages, 3 figures, LaTeX JHEP style; references added

References in corpus (4)

• Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory
• Unitarity of noncommutative field theories from string theory
• Exact Answers to Approximate Questions: Noncommutative Dipoles, Open Wilson Lines, and UV-IR Duality
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$

Cited by in corpus (1)

• D-branes in overcritical electric fields