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Relativistic corrections to nonrelativistic effective field theories

Author(s)
Namjoo, Mohammad Hossein; Guth, Alan; Kaiser, David I
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Abstract
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.
Date issued
2018-07
URI
http://hdl.handle.net/1721.1/117048
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review D
Publisher
American Physical Society
Citation
Namjoo, Mohammad Hossein et al. "Relativistic corrections to nonrelativistic effective field theories." Physical Review D 98, 1 (July 2018): 016011
Version: Final published version
ISSN
2470-0010
2470-0029

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