Gauged O(n) spin models in one dimension
We consider a gauged O(n) spin model, n>~2, in one dimension which contains both the pure O(n) and RPn−1 spin models and which interpolates between them. Various formulations of this theory are given, one of which shows that it belongs to a general set of models for which it has been suggested th...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 June 1999
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| In: |
Physical review. D, Particles, fields, gravitation, and cosmology
Year: 1999, Volume: 60, Issue: 3, Pages: 1-4 |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.60.037503 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.60.037503 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.60.037503 
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| Author Notes: | M. Hasenbusch, R.R. Horgan |
| Summary: | We consider a gauged O(n) spin model, n>~2, in one dimension which contains both the pure O(n) and RPn−1 spin models and which interpolates between them. Various formulations of this theory are given, one of which shows that it belongs to a general set of models for which it has been suggested that, for n>2, three distinct universality classes exist and that RPn−1 and O(n) belong to different classes. We show that our model is equivalent to the non-interacting sum of an O(n) model and the Ising model which allows a simple derivation of the complete mass spectrum that scales in the continuum limit. We demonstrate that there are only two universality classes, one of which contains the O(n) and RPn−1 models and the other which has a tunable parameter, but which is degenerate in the sense that it arises from the direct sum of the O(n) and Ising models. |
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| Item Description: | Gesehen am 08.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.60.037503 |