Non relativistic limit of integrable QFT and Lieb–Liniger models
In this paper we study a suitable limit of integrable QFT with the aim to identify continuous non-relativistic integrable models with local interactions. This limit amounts to sending to infinity the speed of light c but simultaneously adjusting the coupling constant g of the quantum field theories...
| Main Authors: | , , |
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| Format: | Journal article |
| Sprog: | English |
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IOP Publishing
2016
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| _version_ | 1826263439838806016 |
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| author | Bastianello, A De Luca, A Mussardo, G |
| author_facet | Bastianello, A De Luca, A Mussardo, G |
| author_sort | Bastianello, A |
| collection | OXFORD |
| description | In this paper we study a suitable limit of integrable QFT with the aim to identify continuous non-relativistic integrable models with local interactions. This limit amounts to sending to infinity the speed of light c but simultaneously adjusting the coupling constant g of the quantum field theories in such a way to keep finite the energies of the various excitations. The QFT considered here are Toda Field Theories and the O(N) non-linear sigma model. In both cases the resulting non-relativistic integrable models consist only of Lieb-Liniger models, which are fully decoupled for the Toda theories while symmetrically coupled for the O(N) model. These examples provide explicit evidence of the universality and ubiquity of the Lieb-Liniger models and, at the same time, suggest that these models may exhaust the list of possible non-relativistic integrable theories of bosonic particles with local interactions. |
| first_indexed | 2024-03-06T19:51:47Z |
| format | Journal article |
| id | oxford-uuid:2434f5ed-c7d6-4aa9-8bd1-42b703d45448 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:51:47Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:2434f5ed-c7d6-4aa9-8bd1-42b703d454482022-03-26T11:48:41ZNon relativistic limit of integrable QFT and Lieb–Liniger modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2434f5ed-c7d6-4aa9-8bd1-42b703d45448EnglishSymplectic Elements at OxfordIOP Publishing2016Bastianello, ADe Luca, AMussardo, GIn this paper we study a suitable limit of integrable QFT with the aim to identify continuous non-relativistic integrable models with local interactions. This limit amounts to sending to infinity the speed of light c but simultaneously adjusting the coupling constant g of the quantum field theories in such a way to keep finite the energies of the various excitations. The QFT considered here are Toda Field Theories and the O(N) non-linear sigma model. In both cases the resulting non-relativistic integrable models consist only of Lieb-Liniger models, which are fully decoupled for the Toda theories while symmetrically coupled for the O(N) model. These examples provide explicit evidence of the universality and ubiquity of the Lieb-Liniger models and, at the same time, suggest that these models may exhaust the list of possible non-relativistic integrable theories of bosonic particles with local interactions. |
| spellingShingle | Bastianello, A De Luca, A Mussardo, G Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title | Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title_full | Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title_fullStr | Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title_full_unstemmed | Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title_short | Non relativistic limit of integrable QFT and Lieb–Liniger models |
| title_sort | non relativistic limit of integrable qft and lieb liniger models |
| work_keys_str_mv | AT bastianelloa nonrelativisticlimitofintegrableqftandlieblinigermodels AT delucaa nonrelativisticlimitofintegrableqftandlieblinigermodels AT mussardog nonrelativisticlimitofintegrableqftandlieblinigermodels |