Carroll stories
Abstract We study various aspects of the Carroll limit in which the speed of light is sent to zero. A large part of this paper is devoted to the quantization of Carroll field theories. We show that these exhibit infinite degeneracies in the spectrum and may suffer from non-normalizable ground states...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)148 |
| _version_ | 1797371236825694208 |
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| author | Jan de Boer Jelle Hartong Niels A. Obers Watse Sybesma Stefan Vandoren |
| author_facet | Jan de Boer Jelle Hartong Niels A. Obers Watse Sybesma Stefan Vandoren |
| author_sort | Jan de Boer |
| collection | DOAJ |
| description | Abstract We study various aspects of the Carroll limit in which the speed of light is sent to zero. A large part of this paper is devoted to the quantization of Carroll field theories. We show that these exhibit infinite degeneracies in the spectrum and may suffer from non-normalizable ground states. As a consequence, partition functions of Carroll systems are ill-defined and do not lead to sensible thermodynamics. These seemingly pathological properties might actually be a virtue in the context of flat space holography. Better defined is the Carroll regime, in which we consider the leading order term in an expansion around vanishing speed of light without taking the strict Carroll limit. Such an expansion may lead to sensible notions of Carroll thermodynamics. An interesting example is a gas of massless particles with an imaginary chemical potential conjugate to the momentum. In the Carroll regime we show that the partition function of such a gas leads to an equation of state with w = −1. As a separate story, we study aspects of Carroll gravity and couplings to Carrollian energy-momentum tensors. We discuss many examples of solutions to Carroll gravity, including wormholes, Maxwell fields, solutions with a cosmological constant, and discuss the structure of geodesics in a Carroll geometry. The coupling of matter to Carroll gravity also allows us to derive energy-momentum tensors for hypothetical Carroll fluids from expanding relativistic fluids as well as directly from hydrostatic partition functions. |
| first_indexed | 2024-03-08T18:17:01Z |
| format | Article |
| id | doaj.art-ca0f5d7fa5914b1abe7047f5834c5121 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:17:01Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ca0f5d7fa5914b1abe7047f5834c51212023-12-31T12:08:06ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023915910.1007/JHEP09(2023)148Carroll storiesJan de Boer0Jelle Hartong1Niels A. Obers2Watse Sybesma3Stefan Vandoren4Institute for Theoretical Physics and Delta Institute for Theoretical Physics, University of AmsterdamSchool of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghNordita, KTH Royal Institute of Technology and Stockholm UniversityScience Institute, University of IcelandInstitute for Theoretical Physics, Utrecht UniversityAbstract We study various aspects of the Carroll limit in which the speed of light is sent to zero. A large part of this paper is devoted to the quantization of Carroll field theories. We show that these exhibit infinite degeneracies in the spectrum and may suffer from non-normalizable ground states. As a consequence, partition functions of Carroll systems are ill-defined and do not lead to sensible thermodynamics. These seemingly pathological properties might actually be a virtue in the context of flat space holography. Better defined is the Carroll regime, in which we consider the leading order term in an expansion around vanishing speed of light without taking the strict Carroll limit. Such an expansion may lead to sensible notions of Carroll thermodynamics. An interesting example is a gas of massless particles with an imaginary chemical potential conjugate to the momentum. In the Carroll regime we show that the partition function of such a gas leads to an equation of state with w = −1. As a separate story, we study aspects of Carroll gravity and couplings to Carrollian energy-momentum tensors. We discuss many examples of solutions to Carroll gravity, including wormholes, Maxwell fields, solutions with a cosmological constant, and discuss the structure of geodesics in a Carroll geometry. The coupling of matter to Carroll gravity also allows us to derive energy-momentum tensors for hypothetical Carroll fluids from expanding relativistic fluids as well as directly from hydrostatic partition functions.https://doi.org/10.1007/JHEP09(2023)148Space-Time SymmetriesField Theories in Lower DimensionsField Theory HydrodynamicsBlack Holes |
| spellingShingle | Jan de Boer Jelle Hartong Niels A. Obers Watse Sybesma Stefan Vandoren Carroll stories Journal of High Energy Physics Space-Time Symmetries Field Theories in Lower Dimensions Field Theory Hydrodynamics Black Holes |
| title | Carroll stories |
| title_full | Carroll stories |
| title_fullStr | Carroll stories |
| title_full_unstemmed | Carroll stories |
| title_short | Carroll stories |
| title_sort | carroll stories |
| topic | Space-Time Symmetries Field Theories in Lower Dimensions Field Theory Hydrodynamics Black Holes |
| url | https://doi.org/10.1007/JHEP09(2023)148 |
| work_keys_str_mv | AT jandeboer carrollstories AT jellehartong carrollstories AT nielsaobers carrollstories AT watsesybesma carrollstories AT stefanvandoren carrollstories |