Relativistic corrections to nonrelativistic effective field theories
Name
PhysRevD.98.016011.pdf
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319.66 KB
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Author(s)
Namjoo, Mohammad Hossein
Guth, Alan
Kaiser, David I
Date Issued
July 2018
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.98.016011
