Journal of Physical Studies 23(1), Article 1103 [7 pages] (2019) DOI: https://doi.org/10.30970/jps.23.1103 STRING THEORY IN THE NAMBU--GOTO FORMALISM AND NONCOMMUTATIVITY N. Mansour1, E. Diaf2, M. B. Sedra1 1SIMO-Lab, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco 2Department of Physics, OLMAN-RL Pluridisciplinary Faculty of Nador, University Mohammed First, Oujda B.P N 300, Selouane, 27000 Nador, Morocco e-mail:nmansour@live.fr, eldiaf@gmail.com mysedra@yahoo.fr

In this paper, we studied the string theory in its original form of Nambu-Goto. We found that the calculation of the variation of the Nambu-Goto action with respect to the metric of the word sheet leads to a nonlinear action which is not strictly equivalent to the Polyakov action. Then the equation of motion corresponding to this action is nonlinear. This was the reason why we decided to solve the nonlinear Nambu-Goto equation of motion directly. This has been done for a string interacting with a constant, antisymmetric tensor field B in the Nambu-Goto formulation, and we derive the noncommutativity among the string end points coordinates.

PACS number(s): 11.25.Yb; 11.25.-w; 11.25.Hf; 02.40.Gh; 11.25.Uv

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