Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories
Abstract In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ operator. By making use of the Thermodynami...
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| Language: | English |
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2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)090 |
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| author | Riccardo Travaglino Michele Mazzoni Olalla A. Castro-Alvaredo |
| author_facet | Riccardo Travaglino Michele Mazzoni Olalla A. Castro-Alvaredo |
| author_sort | Riccardo Travaglino |
| collection | DOAJ |
| description | Abstract In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ operator. By making use of the Thermodynamic Bethe Ansatz approach and of the theory of Generalised Hydrodynamics, we study the non-equilibrium steady state averages of conserved densities and currents in a partitioning protocol. We show that, in particular limits, averages can be evaluated exactly in terms of quantities known from the unperturbed theory. In the massless limit we recover known results for the energy and momentum currents and generalise those to any higher spin conserved quantities. We extend some of our results to perturbations of the generalised T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ type. For the massive free fermion theory, we find an analytic expression for the effective inverse temperature after at T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ perturbation in terms of the bare inverse temperature by making use of Lambert’s W function. |
| format | Article |
| id | doaj-art-dcb4473b26ce461d95f7ee73efbc56d8 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-dcb4473b26ce461d95f7ee73efbc56d82024-11-24T12:08:07ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813310.1007/JHEP08(2024)090Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theoriesRiccardo Travaglino0Michele Mazzoni1Olalla A. Castro-Alvaredo2SISSADepartment of Mathematics, City, University of LondonDepartment of Mathematics, City, University of LondonAbstract In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ operator. By making use of the Thermodynamic Bethe Ansatz approach and of the theory of Generalised Hydrodynamics, we study the non-equilibrium steady state averages of conserved densities and currents in a partitioning protocol. We show that, in particular limits, averages can be evaluated exactly in terms of quantities known from the unperturbed theory. In the massless limit we recover known results for the energy and momentum currents and generalise those to any higher spin conserved quantities. We extend some of our results to perturbations of the generalised T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ type. For the massive free fermion theory, we find an analytic expression for the effective inverse temperature after at T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ perturbation in terms of the bare inverse temperature by making use of Lambert’s W function.https://doi.org/10.1007/JHEP08(2024)090Bethe AnsatzField Theory HydrodynamicsIntegrable Field Theories |
| spellingShingle | Riccardo Travaglino Michele Mazzoni Olalla A. Castro-Alvaredo Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories Journal of High Energy Physics Bethe Ansatz Field Theory Hydrodynamics Integrable Field Theories |
| title | Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories |
| title_full | Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories |
| title_fullStr | Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories |
| title_full_unstemmed | Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories |
| title_short | Generalised hydrodynamics of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ -deformed integrable quantum field theories |
| title_sort | generalised hydrodynamics of t t ¯ textrm t overline textrm t deformed integrable quantum field theories |
| topic | Bethe Ansatz Field Theory Hydrodynamics Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP08(2024)090 |
| work_keys_str_mv | AT riccardotravaglino generalisedhydrodynamicsoftttextrmtoverlinetextrmtdeformedintegrablequantumfieldtheories AT michelemazzoni generalisedhydrodynamicsoftttextrmtoverlinetextrmtdeformedintegrablequantumfieldtheories AT olallaacastroalvaredo generalisedhydrodynamicsoftttextrmtoverlinetextrmtdeformedintegrablequantumfieldtheories |