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Generalization of the relativistic string model and the topological structure of its classical solutions

✍ Scribed by A. A. Zheltukhin

Publisher
Springer
Year
1981
Tongue
English
Weight
199 KB
Volume
5
Category
Article
ISSN
0377-9017

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✦ Synopsis

A generalization of the Nambu relativistic string action taking into account the topological invariant ffRx/g dr do is proposed. It is shown that this generalization solves the problem of infinite boundary conditions for the Nambu string in the Regge-Lund-Omnes geometric approach. The presence of a hidden topological structure of the string action extremums, realized on the static solutions of the generalized model, is shown. The energy spectrum of the polarized string connected with this topological structure is found to be hydrogen-like.

OΒ°tOo~XA(']" , O) =0, X A = (X 0, X 1 ..... xd--1), (0[ =7", (7) (2) but it alters the boundary conditions, and in the conformal gauge ~?x' = 0 0? 2 = -x '2 --=E (r, o)

πŸ“œ SIMILAR VOLUMES

Generalization of the relativistic strin
Generalization of the relativistic string model in the geometrical approach
✍ B. M. Barbashov; V. V. Nesterenko; A. M. Chervjakov πŸ“‚ Article πŸ“… 1979 πŸ› Springer 🌐 English βš– 237 KB

We present a model of a one-dimensional extended relativistic object, whose motion is defined by the requirement that its time track in Minkowski space is a surface of the constant mean curvature H. The world surface of the relativistic string is a particular case of such surfaces, namely, a minimal