Relativistic corrections to nonrelativistic effective field theories
In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a real, self-interacting scalar field, into an equivalent theory,...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/117048 https://orcid.org/0000-0003-3802-5206 https://orcid.org/0000-0002-5054-6744 |
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| author | Namjoo, Mohammad Hossein Guth, Alan Kaiser, David I |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Namjoo, Mohammad Hossein Guth, Alan Kaiser, David I |
| author_sort | Namjoo, Mohammad Hossein |
| collection | MIT |
| description | In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a real, self-interacting scalar field, into an equivalent theory, describing a complex scalar field that encodes at each time both the original field and its conjugate momentum. Our low-energy effective theory incorporates relativistic corrections to the kinetic energy as well as the backreaction of fast-oscillating terms on the behavior of the dominant, slowly varying component of the field. Possible applications of our new approach include axion dark matter, though the methods developed here should be applicable to the low-energy limits of other field theories as well. |
| first_indexed | 2024-09-23T12:39:47Z |
| format | Article |
| id | mit-1721.1/117048 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:39:47Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1170482022-09-28T09:17:53Z Relativistic corrections to nonrelativistic effective field theories Namjoo, Mohammad Hossein Guth, Alan Kaiser, David I Massachusetts Institute of Technology. Department of Physics Namjoo, Mohammad Hossein Guth, Alan Kaiser, David I In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a real, self-interacting scalar field, into an equivalent theory, describing a complex scalar field that encodes at each time both the original field and its conjugate momentum. Our low-energy effective theory incorporates relativistic corrections to the kinetic energy as well as the backreaction of fast-oscillating terms on the behavior of the dominant, slowly varying component of the field. Possible applications of our new approach include axion dark matter, though the methods developed here should be applicable to the low-energy limits of other field theories as well. United States. Department of Energy (Contract DE-SC0012567) 2018-07-23T18:32:11Z 2018-07-23T18:32:11Z 2018-07 2018-06 2018-07-20T18:00:17Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/117048 Namjoo, Mohammad Hossein et al. "Relativistic corrections to nonrelativistic effective field theories." Physical Review D 98, 1 (July 2018): 016011 https://orcid.org/0000-0003-3802-5206 https://orcid.org/0000-0002-5054-6744 en http://dx.doi.org/10.1103/PhysRevD.98.016011 Physical Review D Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 application/pdf American Physical Society American Physical Society |
| spellingShingle | Namjoo, Mohammad Hossein Guth, Alan Kaiser, David I Relativistic corrections to nonrelativistic effective field theories |
| title | Relativistic corrections to nonrelativistic effective field theories |
| title_full | Relativistic corrections to nonrelativistic effective field theories |
| title_fullStr | Relativistic corrections to nonrelativistic effective field theories |
| title_full_unstemmed | Relativistic corrections to nonrelativistic effective field theories |
| title_short | Relativistic corrections to nonrelativistic effective field theories |
| title_sort | relativistic corrections to nonrelativistic effective field theories |
| url | http://hdl.handle.net/1721.1/117048 https://orcid.org/0000-0003-3802-5206 https://orcid.org/0000-0002-5054-6744 |
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