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Non-orientable string one-loop corrections in the presence of a B field

L. Bonora·M. Salizzoni
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Abstract

We discuss the problem of noncommutative SO(N) gauge field theories from the string one-loop point of view. To this end we propose an expression for the string propagator on the boundary of the Moebius strip in the presence of a constant B field. We discuss in detail the problems related to its derivation. Then we use it to compute the one-loop corrections to two-, three- and four-gluon amplitudes in an open string theory with orthogonal Chan-Paton factors. We show that these corrections in the field theory limit in 4D are compatible with the one-loop corrections of a renormalizable noncommutative SO(N) gauge field theory.

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L. Bonora, M. Salizzoni. 2001-10-30. Non-orientable string one-loop corrections in the presence of a B field. https://arxiv.org/abs/hep-th/0105307

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