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Title: 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. doi: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. doi: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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.016011

Citation Metrics:
Cited by: 7 works
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