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The Nambu-Goto action as the one of the quantized space-time excitation

Serge B. Afanas'ev
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Abstract

The concept of the quantized space-time of the formless finite fundamental elements is suggested. This space-time can be defined as a set of continual space-time coverings by simply connected non-overlapping regions of any form and arbitrary sizes with some probability measure. The functional integrating method and the space-time action problem are analyzed. A string in this space-time is considered as an excitation of a number of fundamental elements forming one-dimensional curve. It is possible to direct the way for the volume term of the space-time action to yield the Nambu-Goto action with this consideration.

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Serge B. Afanas'ev. 2000-01-22. The Nambu-Goto action as the one of the quantized space-time excitation. https://arxiv.org/abs/hep-ph/0001228

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