Summary
We have studied a class of Lagrangian models in 2+1D involving solitonlike fields. We have verified that these fields, together with the gauge phase factor operators, realize the ’t Hooft algebra.
Riassunto
Si è studiata una classe di modelli lagrangiani in 2+1 dimensioni che contengono campi con proprietà simili a quelle dei solitoni topologici. Si è verificato che questi campi, assieme agli operatori fattori di fase di gauge, realizzano l’algebra di ’t Hooft.
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A subtle question is whether in our model there exist topological solitons besides the «elementary solitons». This problem is not present in ref.(6), since there the functional integration over theϕ-fields is restricted to the trivial topological sector.
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Bonora, L., Pasti, P., Tonin, M. et al. Extended higgs models and ’t hooft algebra. Nuov Cim A 54, 507–522 (1979). https://doi.org/10.1007/BF02899856
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DOI: https://doi.org/10.1007/BF02899856