Open string with a background B field as the first order mechanics, noncommutativity, and soldering formalism

@article{Deriglazov2007OpenSW,
  title={Open string with a background B field as the first order mechanics, noncommutativity, and soldering formalism},
  author={A. Deriglazov and C. Neves and W. Oliveira and E. Abreu and C. Wotzasek and C. Filgueiras},
  journal={Physical Review D},
  year={2007},
  volume={76},
  pages={064007}
}
To study noncommutativity properties of the open string with constant B field, we construct a mechanical action that reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization procedure for constrained systems in a direct and unambiguous way. The mechanical action turns out to be the first order system without taking the strong field limit B{yields}{infinity}. In particular, it is true for the zero mode of the string coordinate, which… Expand
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