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

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

2001-05-30

arxiv.org/abs/hep-th/0105307v4

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 1 figure; New version

Scientific paper

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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