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A simple physical interpretation of the critical dimension of space- time in dual models
The energy due to zero point fluctuations of the dual string is calculated and shown to be divergent. It is made finite by introducing a cut-off. The result is non-covariant but invariant under reparametrization, so one has to modify the classical Lagrangian so as to get a covariant result. It is th...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
1973
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(73)90048-8 http://cds.cern.ch/record/880654 |
| _version_ | 1780908166775570432 |
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| author | Brink, L Nielsen, H B |
| author_facet | Brink, L Nielsen, H B |
| author_sort | Brink, L |
| collection | CERN |
| description | The energy due to zero point fluctuations of the dual string is calculated and shown to be divergent. It is made finite by introducing a cut-off. The result is non-covariant but invariant under reparametrization, so one has to modify the classical Lagrangian so as to get a covariant result. It is then shown that this leads to the well-known relation relating the mass squared of the lowest state to the number of dimensions of space-time. This result is independent of the cut-off and shows clearly the physical significance of the critical dimensions of space-time. Similar considerations for the Neveu-Schwarz model are also discussed. (6 refs). |
| id | cern-880654 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1973 |
| record_format | invenio |
| spelling | cern-8806542019-09-30T06:29:59Zdoi:10.1016/0370-2693(73)90048-8http://cds.cern.ch/record/880654engBrink, LNielsen, H BA simple physical interpretation of the critical dimension of space- time in dual modelsParticle Physics - PhenomenologyThe energy due to zero point fluctuations of the dual string is calculated and shown to be divergent. It is made finite by introducing a cut-off. The result is non-covariant but invariant under reparametrization, so one has to modify the classical Lagrangian so as to get a covariant result. It is then shown that this leads to the well-known relation relating the mass squared of the lowest state to the number of dimensions of space-time. This result is independent of the cut-off and shows clearly the physical significance of the critical dimensions of space-time. Similar considerations for the Neveu-Schwarz model are also discussed. (6 refs).CERN-TH-1662oai:cds.cern.ch:8806541973 |
| spellingShingle | Particle Physics - Phenomenology Brink, L Nielsen, H B A simple physical interpretation of the critical dimension of space- time in dual models |
| title | A simple physical interpretation of the critical dimension of space- time in dual models |
| title_full | A simple physical interpretation of the critical dimension of space- time in dual models |
| title_fullStr | A simple physical interpretation of the critical dimension of space- time in dual models |
| title_full_unstemmed | A simple physical interpretation of the critical dimension of space- time in dual models |
| title_short | A simple physical interpretation of the critical dimension of space- time in dual models |
| title_sort | simple physical interpretation of the critical dimension of space- time in dual models |
| topic | Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1016/0370-2693(73)90048-8 http://cds.cern.ch/record/880654 |
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