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arxiv: hep-th/0005040 · v1 · submitted 2000-05-04 · ✦ hep-th

Strings in Background Electric Field, Space/Time Noncommutativity and A New Noncritical String Theory

classification ✦ hep-th
keywords fieldtheorycriticalelectricbackgroundlimitnoncommutativenoncommutativity
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Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense. We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime. However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime.

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