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 |
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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 |