Correlation functions in theories with Lifshitz scaling
The 2+1 dimensional quantum Lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit Lifshitz scaling. When the dynamical critical exponent equals the number of spatial dimensions, equal time correlation functions of scaling operators in the generalised qua...
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ftopinvisindi:oai:opinvisindi.is:20.500.11815/325 2024-09-15T18:14:19+00:00 Correlation functions in theories with Lifshitz scaling Keränen, Ville Sybesma, Watse Szepietowski, Phillip Thorlacius, Larus Raunvísindastofnun (HÍ) Science Institute (UI) Verkfræði- og náttúruvísindasvið (HÍ) School of Engineering and Natural Sciences (UI) Háskóli Íslands University of Iceland 2017-05 33 https://hdl.handle.net/20.500.11815/325 https://doi.org/10.1007/JHEP05(2017)033 en eng Springer Nature Journal of High Energy Physics;2017(5) Keränen, V., Sybesma, W., Szepietowski, P., & Thorlacius, L. (2017). Correlation functions in theories with Lifshitz scaling. Journal of High Energy Physics, 2017(5), 33. doi:10.1007/jhep05(2017)033 1126-6708 1029-8479 (eISSN) https://hdl.handle.net/20.500.11815/325 Journal of High Energy Physics doi:10.1007/JHEP05(2017)033 info:eu-repo/semantics/openAccess AdS-CFT correspondence Conformal field theory Holography Condensed matter physics Skammtafræði Svarthol (stjörnufræði) info:eu-repo/semantics/article 2017 ftopinvisindi https://doi.org/20.500.11815/32510.1007/JHEP05(2017)033 2024-07-09T03:01:56Z The 2+1 dimensional quantum Lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit Lifshitz scaling. When the dynamical critical exponent equals the number of spatial dimensions, equal time correlation functions of scaling operators in the generalised quantum Lifshitz model are given by a d-dimensional higher-derivative conformal field theory. Autocorrelation functions in the generalised quantum Lifshitz model in any number of dimensions can on the other hand be expressed in terms of autocorrelation functions of a two-dimensional conformal field theory. This also holds for autocorrelation functions in a strongly coupled Lifshitz field theory with a holographic dual of Einstein-Maxwell-dilaton type. The map to a two-dimensional conformal field theory extends to autocorrelation functions in thermal states and out-of-equilbrium states preserving symmetry under spatial translations and rotations in both types of Lifshitz models. Furthermore, the spectrum of quasinormal modes of scalar field perturbations in Lifshitz black hole backgrounds can be obtained analytically at low spatial momenta and exhibits a linear dispersion relation at z = d. At high momentum, the mode spectrum can be obtained in a WKB approximation and displays very different behaviour compared to holographic duals of conformal field theories. This has implications for thermalisation in strongly coupled Lifshitz field theories with z > 1. Icelandic Research Fund grant 163422-051 University of Iceland Research Fund Swedish Research Council 621-2014-5838 Netherlands Organisation for Scientific Research (NWO) under the VICI grant 680-47-603 Dutch Ministry of Education, Culture and Science (OCW) Peer Reviewed Article in Journal/Newspaper Iceland Opin vísindi (Iceland) Journal of High Energy Physics 2017 5 |
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Open Polar |
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Opin vísindi (Iceland) |
op_collection_id |
ftopinvisindi |
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English |
topic |
AdS-CFT correspondence Conformal field theory Holography Condensed matter physics Skammtafræði Svarthol (stjörnufræði) |
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AdS-CFT correspondence Conformal field theory Holography Condensed matter physics Skammtafræði Svarthol (stjörnufræði) Keränen, Ville Sybesma, Watse Szepietowski, Phillip Thorlacius, Larus Correlation functions in theories with Lifshitz scaling |
topic_facet |
AdS-CFT correspondence Conformal field theory Holography Condensed matter physics Skammtafræði Svarthol (stjörnufræði) |
description |
The 2+1 dimensional quantum Lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit Lifshitz scaling. When the dynamical critical exponent equals the number of spatial dimensions, equal time correlation functions of scaling operators in the generalised quantum Lifshitz model are given by a d-dimensional higher-derivative conformal field theory. Autocorrelation functions in the generalised quantum Lifshitz model in any number of dimensions can on the other hand be expressed in terms of autocorrelation functions of a two-dimensional conformal field theory. This also holds for autocorrelation functions in a strongly coupled Lifshitz field theory with a holographic dual of Einstein-Maxwell-dilaton type. The map to a two-dimensional conformal field theory extends to autocorrelation functions in thermal states and out-of-equilbrium states preserving symmetry under spatial translations and rotations in both types of Lifshitz models. Furthermore, the spectrum of quasinormal modes of scalar field perturbations in Lifshitz black hole backgrounds can be obtained analytically at low spatial momenta and exhibits a linear dispersion relation at z = d. At high momentum, the mode spectrum can be obtained in a WKB approximation and displays very different behaviour compared to holographic duals of conformal field theories. This has implications for thermalisation in strongly coupled Lifshitz field theories with z > 1. Icelandic Research Fund grant 163422-051 University of Iceland Research Fund Swedish Research Council 621-2014-5838 Netherlands Organisation for Scientific Research (NWO) under the VICI grant 680-47-603 Dutch Ministry of Education, Culture and Science (OCW) Peer Reviewed |
author2 |
Raunvísindastofnun (HÍ) Science Institute (UI) Verkfræði- og náttúruvísindasvið (HÍ) School of Engineering and Natural Sciences (UI) Háskóli Íslands University of Iceland |
format |
Article in Journal/Newspaper |
author |
Keränen, Ville Sybesma, Watse Szepietowski, Phillip Thorlacius, Larus |
author_facet |
Keränen, Ville Sybesma, Watse Szepietowski, Phillip Thorlacius, Larus |
author_sort |
Keränen, Ville |
title |
Correlation functions in theories with Lifshitz scaling |
title_short |
Correlation functions in theories with Lifshitz scaling |
title_full |
Correlation functions in theories with Lifshitz scaling |
title_fullStr |
Correlation functions in theories with Lifshitz scaling |
title_full_unstemmed |
Correlation functions in theories with Lifshitz scaling |
title_sort |
correlation functions in theories with lifshitz scaling |
publisher |
Springer Nature |
publishDate |
2017 |
url |
https://hdl.handle.net/20.500.11815/325 https://doi.org/10.1007/JHEP05(2017)033 |
genre |
Iceland |
genre_facet |
Iceland |
op_relation |
Journal of High Energy Physics;2017(5) Keränen, V., Sybesma, W., Szepietowski, P., & Thorlacius, L. (2017). Correlation functions in theories with Lifshitz scaling. Journal of High Energy Physics, 2017(5), 33. doi:10.1007/jhep05(2017)033 1126-6708 1029-8479 (eISSN) https://hdl.handle.net/20.500.11815/325 Journal of High Energy Physics doi:10.1007/JHEP05(2017)033 |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/20.500.11815/32510.1007/JHEP05(2017)033 |
container_title |
Journal of High Energy Physics |
container_volume |
2017 |
container_issue |
5 |
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1810452093212819456 |