Tachyon Potential in a Magnetic Field with Anomalous Dimensi(5)

Products defined in the context of noncommutative gauge theory allow for an interpolation between exact results on tachyon potentials at zero and large background B-fields. Techniques for computations of effective actions are transposed from the framework

wherethehigher-degreedeformedk-aryoperatorscontribute:

1 1 k= dτ1...dτkexp{iπaij(2τij (τij))}(2sin(πτij))2tij.

001≤i<j≤k

Wesymbolicallydenotetheresultby

Z(T)=dx

k+1

(k+1)!

k!X µ1...X µk µ1... µkFµν(x).

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