Summary
A relativistic string model is proposed, whose mass spectrum is built up by a denumerable set of 3-dimensional isotropic oscillators. This model has no covariance problem and its nonrelativistic limit describes a string with constant mass distribution and constant linear tension. However, this string has a pole-dipole structure, as shown by its energy-momentum tensor,i.e. it has no extension.
Riassunto
Si propone un modello di corda vibrante relativistica, il cui spettro di massa è costruito mediante un insieme numerabile di oscillatori tridimensionali isotropi. Tale modello non ha problemi di covarianza ed il suo limite non relativistico descrive una corda vibrante con distribuzione di massa e tensione lineare costanti. Comunque tale corda è priva di estensione, cioè ha una struttura di polo-dipolo come appare dal tensore energia-impulso.
Резюме
Предлагается модель релятивистской струны, массовый спектр которой строится с помощью конечной системы трехмерных изотропных осцилляторов. Эта модель не имеет проблемы ковариантности и ее нерелятивистский предел описывает струну с постоянным массовым распределением и постоянным линейным натяжением. Однако, эта струна имеет «полюс-дипольную» структуру, как следует из тензора энергии-импульса, т.е. отсутствует растяжение.
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Barducci, A., Lusanna, L. A pole-dipole relativistic string model. Nuov Cim B 53, 59–80 (1979). https://doi.org/10.1007/BF02739302
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DOI: https://doi.org/10.1007/BF02739302