Classical Open String Models in 4-Dim Minkowski Spacetime

Details Classical Open String Models in 4-Dim Minkowski Spacetime Classical Open String Models in 4-Dim Minkowski Spacetime

1994-01-06

arxiv.org/abs/hep-th/9401014v4

Phys.Rev.D50:2769-2778,1994

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX, preprint TPJU-28-93 (the previous version was truncated by ftp...)

Scientific paper

10.1103/PhysRevD.50.2769

Classical bosonic open string models in fourdimensional Minkowski spacetime are discussed. A special attention is paid to the choice of edge conditions, which can follow consistently from the action principle. We consider lagrangians that can depend on second order derivatives of worldsheet coordinates. A revised interpretation of the variational problem for such theories is given. We derive a general form of a boundary term that can be added to the open string action to control edge conditions and modify conservation laws. An extended boundary problem for minimal surfaces is examined. Following the treatment of this model in the geometric approach, we obtain that classical open string states correspond to solutions of a complex Liouville equation. In contrast to the Nambu-Goto case, the Liouville potential is finite and constant at worldsheet boundaries. The phase part of the potential defines topological sectors of solutions.

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