String world surfaces in spaces with compact factor-manifolds |
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Authors: | G S Sharov A E Milovidov |
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Institution: | 1.Tver State University,Tver,Russia |
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Abstract: | The closed string with point-like masses as the string hadron model is considered in the D-dimensional space M = R1,3 ×TD - 4 \mathcal{M} = {R^{1,3}} \times {T^{D - 4}} , which is the direct product of the Minkowski space and the compact manifold T
D−4 = S
1 × ⋯ × S
1 ((D − 4)-dimensional torus). Exact solutions of dynamical equations are obtained; in a particular case of rotational states, they
describe a uniform rotation of the system. These rotational states are classified, their physical properties are studied,
and Regge trajectories are determined. Central and linear rotational states are tested for stability with respect to small
disturbances. It is shown that the central rotational states are not stable if the central mass is less than some threshold
value. |
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Keywords: | |
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