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arXiv · hep-th/0108103

A Note on Noncommutative String theory and its low energy limit

Shesansu Sekhar Pal
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Abstract

The noncommutative string theory is described by embedding open string theory in a constant second rank antisymmetric $B_{μν}$ field and the noncommutative gauge theory is defined by a deformed $\star$ product. As a check, study of various scattering amplitudes in both noncommutative string and noncommutative gauge theory confirm that in the $α^{'}\to 0$ limit, the noncommutative string theoretic amplitude goes over to the noncommutative gauge theoretic amplitude, and the couplings are related as $g_{YM}=G_0\sqrt{\frac{1}{2α^{'}}}$. Furthermore we show that in this limit there will not be any correction to the gauge theoretic action because of absence of massive modes. We get sin/cos factors in the scattering amplitudes depending on the odd/even number of external photons.

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Shesansu Sekhar Pal. 2001-08-14. A Note on Noncommutative String theory and its low energy limit. https://doi.org/10.1142/s0217751x03014162

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