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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages

Scientific paper

10.1088/1126-6708/2000/06/021

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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