Exact thermodynamics and transport in the classical Sine-Gordon model
We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a well-known integrable model. We found that existing results in the literature based on the soliton-gas picture did not correctly take into account light, but extended, solitons and thus led to incorrect resul...
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| Format: | Article |
| Language: | English |
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SciPost
2023-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.4.140 |
| _version_ | 1797665754900856832 |
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| author | Rebekka Koch, Alvise Bastianello |
| author_facet | Rebekka Koch, Alvise Bastianello |
| author_sort | Rebekka Koch, Alvise Bastianello |
| collection | DOAJ |
| description | We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a well-known integrable model. We found that existing results in the literature based on the soliton-gas picture did not correctly take into account light, but extended, solitons and thus led to incorrect results. This issue is regularized upon requantization: we derive the correct thermodynamics by taking the semiclassical limit of the quantum model. Our results are then extended to transport settings by means of Generalized Hydrodynamics. |
| first_indexed | 2024-03-11T19:48:27Z |
| format | Article |
| id | doaj.art-5f8ccda1a7184fb8a60514242e18b8fa |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-11T19:48:27Z |
| publishDate | 2023-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-5f8ccda1a7184fb8a60514242e18b8fa2023-10-05T15:03:24ZengSciPostSciPost Physics2542-46532023-10-0115414010.21468/SciPostPhys.15.4.140Exact thermodynamics and transport in the classical Sine-Gordon modelRebekka Koch, Alvise BastianelloWe revisit the exact thermodynamic description of the classical sine-Gordon field theory, a well-known integrable model. We found that existing results in the literature based on the soliton-gas picture did not correctly take into account light, but extended, solitons and thus led to incorrect results. This issue is regularized upon requantization: we derive the correct thermodynamics by taking the semiclassical limit of the quantum model. Our results are then extended to transport settings by means of Generalized Hydrodynamics.https://scipost.org/SciPostPhys.15.4.140 |
| spellingShingle | Rebekka Koch, Alvise Bastianello Exact thermodynamics and transport in the classical Sine-Gordon model SciPost Physics |
| title | Exact thermodynamics and transport in the classical Sine-Gordon model |
| title_full | Exact thermodynamics and transport in the classical Sine-Gordon model |
| title_fullStr | Exact thermodynamics and transport in the classical Sine-Gordon model |
| title_full_unstemmed | Exact thermodynamics and transport in the classical Sine-Gordon model |
| title_short | Exact thermodynamics and transport in the classical Sine-Gordon model |
| title_sort | exact thermodynamics and transport in the classical sine gordon model |
| url | https://scipost.org/SciPostPhys.15.4.140 |
| work_keys_str_mv | AT rebekkakochalvisebastianello exactthermodynamicsandtransportintheclassicalsinegordonmodel |