Relativistic corrections to nonrelativistic effective field theories
Abstract
In this study 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.
- Authors:
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1461028
- Alternate Identifier(s):
- OSTI ID: 1501441
- Grant/Contract Number:
- SC0012567
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Namjoo, Mohammad Hossein, Guth, Alan H., and Kaiser, David I. Relativistic corrections to nonrelativistic effective field theories. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.016011.
Namjoo, Mohammad Hossein, Guth, Alan H., & Kaiser, David I. Relativistic corrections to nonrelativistic effective field theories. United States. https://doi.org/10.1103/PhysRevD.98.016011
Namjoo, Mohammad Hossein, Guth, Alan H., and Kaiser, David I. Fri .
"Relativistic corrections to nonrelativistic effective field theories". United States. https://doi.org/10.1103/PhysRevD.98.016011.
@article{osti_1461028,
title = {Relativistic corrections to nonrelativistic effective field theories},
author = {Namjoo, Mohammad Hossein and Guth, Alan H. and Kaiser, David I.},
abstractNote = {In this study 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.},
doi = {10.1103/PhysRevD.98.016011},
journal = {Physical Review D},
number = 1,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}
https://doi.org/10.1103/PhysRevD.98.016011
Web of Science
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