Relativistic corrections to nonrelativistic effective field theories

Namjoo, Mohammad Hossein; Guth, Alan H.; Kaiser, David I.

doi:10.1103/PhysRevD.98.016011

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:: Namjoo, Mohammad Hossein; Guth, Alan H.; Kaiser, David I.

Publication Date:: 2018-07-20

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.

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                    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

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                    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.

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@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}

}

Copy to clipboard

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Works referenced in this record:

Axions and the strong $C P$ problem
journal, March 2010

Kim, Jihn E.; Carosi, Gianpaolo
Reviews of Modern Physics, Vol. 82, Issue 1
DOI: 10.1103/RevModPhys.82.557

Reduced effective lagrangians
journal, January 1995

Arzt, C.
Physics Letters B, Vol. 342, Issue 1-4
DOI: 10.1016/0370-2693(94)01419-D

Self-gravitating system made of axions
journal, February 2011

Barranco, J.; Bernal, A.
Physical Review D, Vol. 83, Issue 4
DOI: 10.1103/PhysRevD.83.043525

The not-so-harmless axion
journal, January 1983

Dine, Michael; Fischler, Willy
Physics Letters B, Vol. 120, Issue 1-3
DOI: 10.1016/0370-2693(83)90639-1

Dense Axion Stars
journal, September 2016

Braaten, Eric; Mohapatra, Abhishek; Zhang, Hong
Physical Review Letters, Vol. 117, Issue 12
DOI: 10.1103/PhysRevLett.117.121801

Cosmology of the invisible axion
journal, January 1983

Preskill, John; Wise, Mark B.; Wilczek, Frank
Physics Letters B, Vol. 120, Issue 1-3
DOI: 10.1016/0370-2693(83)90637-8

Superradiance: An essay on the theory of collective spontaneous emission
journal, December 1982

Gross, M.; Haroche, S.
Physics Reports, Vol. 93, Issue 5
DOI: 10.1016/0370-1573(82)90102-8

Effective Lagrangians with higher derivatives and equations of motion
journal, June 1994

Knetter, Carsten Grosse
Physical Review D, Vol. 49, Issue 12
DOI: 10.1103/PhysRevD.49.6709

On longevity of I-ball/oscillon
journal, March 2017

Mukaida, Kyohei; Takimoto, Masahiro; Yamada, Masaki
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)122

Oscillons after Inflation
journal, June 2012

Amin, Mustafa A.; Easther, Richard; Finkel, Hal
Physical Review Letters, Vol. 108, Issue 24
DOI: 10.1103/PhysRevLett.108.241302

Inflaton fragmentation and oscillon formation in three dimensions
journal, December 2010

Amin, Mustafa A.; Easther, Richard; Finkel, Hal
Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 12
DOI: 10.1088/1475-7516/2010/12/001

Effective-field theories for heavy quarkonium
journal, December 2005

Brambilla, Nora; Pineda, Antonio; Soto, Joan
Reviews of Modern Physics, Vol. 77, Issue 4
DOI: 10.1103/RevModPhys.77.1423

On the Masses of Nebulae and of Clusters of Nebulae
journal, July 1937

Zwicky, F.
The Astrophysical Journal, Vol. 86
DOI: 10.1086/143864

Axion miniclusters and Bose stars
journal, November 1993

Kolb, Edward W.; Tkachev, Igor I.
Physical Review Letters, Vol. 71, Issue 19
DOI: 10.1103/PhysRevLett.71.3051

Analysis of dark matter axion clumps with spherical symmetry
journal, January 2018

Schiappacasse, Enrico D.; Hertzberg, Mark P.
Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 01
DOI: 10.1088/1475-7516/2018/01/037

Problem of Strong $P$ and $T$ Invariance in the Presence of Instantons
journal, January 1978

Wilczek, F.
Physical Review Letters, Vol. 40, Issue 5
DOI: 10.1103/PhysRevLett.40.279

Do dark matter axions form a condensate with long-range correlation?
journal, November 2015

Guth, Alan H.; Hertzberg, Mark P.; Prescod-Weinstein, C.
Physical Review D, Vol. 92, Issue 10
DOI: 10.1103/PhysRevD.92.103513

On-shell effective field theory
journal, September 1991

Georgi, Howard
Nuclear Physics B, Vol. 361, Issue 2
DOI: 10.1016/0550-3213(91)90244-R

Emission of photons and relativistic axions from axion stars
journal, August 2017

Braaten, Eric; Mohapatra, Abhishek; Zhang, Hong
Physical Review D, Vol. 96, Issue 3
DOI: 10.1103/PhysRevD.96.031901

Dark matter
journal, May 2014

Peebles, P. James E.
Proceedings of the National Academy of Sciences, Vol. 112, Issue 40
DOI: 10.1073/pnas.1308786111

Pseudostable bubbles
journal, March 1994

Gleiser, Marcelo
Physical Review D, Vol. 49, Issue 6
DOI: 10.1103/PhysRevD.49.2978

A cosmological bound on the invisible axion
journal, January 1983

Abbott, L. F.; Sikivie, P.
Physics Letters B, Vol. 120, Issue 1-3
DOI: 10.1016/0370-2693(83)90638-X

Nonrelativistic effective field theory for axions
journal, October 2016

Braaten, Eric; Mohapatra, Abhishek; Zhang, Hong
Physical Review D, Vol. 94, Issue 7
DOI: 10.1103/PhysRevD.94.076004

Axion miniclusters
journal, April 1988

Hogan, C. J.; Rees, M. J.
Physics Letters B, Vol. 205, Issue 2-3
DOI: 10.1016/0370-2693(88)91655-3

Fine-tuned coupling between human parahippocampal ripples and sleep spindles: Ripple-spindle events in human sleep
journal, December 2010

Clemens, Zsófia; Mölle, Matthias; Erőss, Loránd
European Journal of Neuroscience, Vol. 33, Issue 3
DOI: 10.1111/j.1460-9568.2010.07505.x

Coordinated Interactions between Hippocampal Ripples and Cortical Spindles during Slow-Wave Sleep
journal, November 1998

Siapas, Athanassios G.; Wilson, Matthew A.
Neuron, Vol. 21, Issue 5
DOI: 10.1016/S0896-6273(00)80629-7

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results
journal, August 2011

Chavanis, Pierre-Henri; Delfini, Luca
Physical Review D, Vol. 84, Issue 4
DOI: 10.1103/PhysRevD.84.043532

Oscillons: Resonant configurations during bubble collapse
journal, August 1995

Copeland, E. J.; Gleiser, M.; Müller, H. -R.
Physical Review D, Vol. 52, Issue 4
DOI: 10.1103/PhysRevD.52.1920

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

Peccei, R. D.; Quinn, Helen R.
Physical Review Letters, Vol. 38, Issue 25
DOI: 10.1103/PhysRevLett.38.1440

A New Light Boson?
journal, January 1978

Weinberg, Steven
Physical Review Letters, Vol. 40, Issue 4
DOI: 10.1103/PhysRevLett.40.223

QCD heavy-quark potential to order $v^{2} :$ One loop matching conditions
journal, September 2000

Manohar, Aneesh V.; Stewart, Iain W.
Physical Review D, Vol. 62, Issue 7
DOI: 10.1103/PhysRevD.62.074015

Dilute and dense axion stars
journal, February 2018

Visinelli, Luca; Baum, Sebastian; Redondo, Javier
Physics Letters B, Vol. 777
DOI: 10.1016/j.physletb.2017.12.010

Nonrelativistic bound states in quantum field theory
journal, March 2001

Manohar, Aneesh V.; Stewart, Iain W.
Nuclear Physics B - Proceedings Supplements, Vol. 94, Issue 1-3
DOI: 10.1016/S0920-5632(01)00966-5

Exploring the string axiverse with precision black hole physics
journal, February 2011

Arvanitaki, Asimina; Dubovsky, Sergei
Physical Review D, Vol. 83, Issue 4
DOI: 10.1103/PhysRevD.83.044026

Works referencing / citing this record:

Classical nonrelativistic effective field theory and the role of gravitational interactions
journal, June 2019

Eby, Joshua; Mukaida, Kyohei; Takimoto, Masahiro
Physical Review D, Vol. 99, Issue 12
DOI: 10.1103/physrevd.99.123503

Axion Stars
journal, December 2019

Zhang, Hong
Symmetry, Vol. 12, Issue 1
DOI: 10.3390/sym12010025

Colloquium : The physics of axion stars
journal, October 2019

Braaten, Eric; Zhang, Hong
Reviews of Modern Physics, Vol. 91, Issue 4
DOI: 10.1103/revmodphys.91.041002

Field-theoretic approach to large-scale structure formation
journal, November 2019

Friedrich, Pavel; Prokopec, Tomislav
Physical Review D, Vol. 100, Issue 10
DOI: 10.1103/physrevd.100.103527

Classical nonrelativistic effective field theory and the role of gravitational interactions
journal, June 2019

Eby, Joshua; Mukaida, Kyohei; Takimoto, Masahiro
Physical Review D, Vol. 99, Issue 12
DOI: 10.1103/physrevd.99.123503

Stability of condensed fuzzy dark matter halos
journal, October 2018

Eby, Joshua; Leembruggen, Madelyn; Suranyi, Peter
Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 10
DOI: 10.1088/1475-7516/2018/10/058

Formation, gravitational clustering, and interactions of nonrelativistic solitons in an expanding universe
journal, September 2019

Amin, Mustafa A.; Mocz, Philip
Physical Review D, Vol. 100, Issue 6
DOI: 10.1103/physrevd.100.063507

Light majoron cold dark matter from topological defects and the formation of boson stars
journal, September 2019

Reig, Mario; Valle, José W. F.; Yamada, Masaki
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
DOI: 10.1088/1475-7516/2019/09/029

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Title: Relativistic corrections to nonrelativistic effective field theories

Abstract

Citation Formats

Axions and the strong C P problem journal, March 2010

Reduced effective lagrangians journal, January 1995

Self-gravitating system made of axions journal, February 2011

The not-so-harmless axion journal, January 1983

Dense Axion Stars journal, September 2016

Cosmology of the invisible axion journal, January 1983

Superradiance: An essay on the theory of collective spontaneous emission journal, December 1982

Effective Lagrangians with higher derivatives and equations of motion journal, June 1994

On longevity of I-ball/oscillon journal, March 2017

Oscillons after Inflation journal, June 2012

Inflaton fragmentation and oscillon formation in three dimensions journal, December 2010

Effective-field theories for heavy quarkonium journal, December 2005

On the Masses of Nebulae and of Clusters of Nebulae journal, July 1937

Axion miniclusters and Bose stars journal, November 1993

Analysis of dark matter axion clumps with spherical symmetry journal, January 2018

Problem of Strong P and T Invariance in the Presence of Instantons journal, January 1978

Do dark matter axions form a condensate with long-range correlation? journal, November 2015

On-shell effective field theory journal, September 1991

Emission of photons and relativistic axions from axion stars journal, August 2017

Dark matter journal, May 2014

Pseudostable bubbles journal, March 1994

A cosmological bound on the invisible axion journal, January 1983

Nonrelativistic effective field theory for axions journal, October 2016

Axion miniclusters journal, April 1988

Fine-tuned coupling between human parahippocampal ripples and sleep spindles: Ripple-spindle events in human sleep journal, December 2010

Coordinated Interactions between Hippocampal Ripples and Cortical Spindles during Slow-Wave Sleep journal, November 1998

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results journal, August 2011

Oscillons: Resonant configurations during bubble collapse journal, August 1995

CP Conservation in the Presence of Pseudoparticles journal, June 1977

A New Light Boson? journal, January 1978

QCD heavy-quark potential to order v 2 : One loop matching conditions journal, September 2000

Dilute and dense axion stars journal, February 2018

Nonrelativistic bound states in quantum field theory journal, March 2001

Exploring the string axiverse with precision black hole physics journal, February 2011

Classical nonrelativistic effective field theory and the role of gravitational interactions journal, June 2019

Axion Stars journal, December 2019

Colloquium : The physics of axion stars journal, October 2019

Field-theoretic approach to large-scale structure formation journal, November 2019

Classical nonrelativistic effective field theory and the role of gravitational interactions journal, June 2019

Stability of condensed fuzzy dark matter halos journal, October 2018

Formation, gravitational clustering, and interactions of nonrelativistic solitons in an expanding universe journal, September 2019

Light majoron cold dark matter from topological defects and the formation of boson stars journal, September 2019

Axions and the strong $C P$ problem
journal, March 2010

Reduced effective lagrangians
journal, January 1995

Self-gravitating system made of axions
journal, February 2011

The not-so-harmless axion
journal, January 1983

Dense Axion Stars
journal, September 2016

Cosmology of the invisible axion
journal, January 1983

Superradiance: An essay on the theory of collective spontaneous emission
journal, December 1982

Effective Lagrangians with higher derivatives and equations of motion
journal, June 1994

On longevity of I-ball/oscillon
journal, March 2017

Oscillons after Inflation
journal, June 2012

Inflaton fragmentation and oscillon formation in three dimensions
journal, December 2010

Effective-field theories for heavy quarkonium
journal, December 2005

On the Masses of Nebulae and of Clusters of Nebulae
journal, July 1937

Axion miniclusters and Bose stars
journal, November 1993

Analysis of dark matter axion clumps with spherical symmetry
journal, January 2018

Problem of Strong $P$ and $T$ Invariance in the Presence of Instantons
journal, January 1978

Do dark matter axions form a condensate with long-range correlation?
journal, November 2015

On-shell effective field theory
journal, September 1991

Emission of photons and relativistic axions from axion stars
journal, August 2017

Dark matter
journal, May 2014

Pseudostable bubbles
journal, March 1994

A cosmological bound on the invisible axion
journal, January 1983

Nonrelativistic effective field theory for axions
journal, October 2016

Axion miniclusters
journal, April 1988

Fine-tuned coupling between human parahippocampal ripples and sleep spindles: Ripple-spindle events in human sleep
journal, December 2010

Coordinated Interactions between Hippocampal Ripples and Cortical Spindles during Slow-Wave Sleep
journal, November 1998

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions. II. Numerical results
journal, August 2011

Oscillons: Resonant configurations during bubble collapse
journal, August 1995

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

A New Light Boson?
journal, January 1978

QCD heavy-quark potential to order $v^{2} :$ One loop matching conditions
journal, September 2000

Dilute and dense axion stars
journal, February 2018

Nonrelativistic bound states in quantum field theory
journal, March 2001

Exploring the string axiverse with precision black hole physics
journal, February 2011

Classical nonrelativistic effective field theory and the role of gravitational interactions
journal, June 2019

Axion Stars
journal, December 2019

Colloquium : The physics of axion stars
journal, October 2019

Field-theoretic approach to large-scale structure formation
journal, November 2019

Classical nonrelativistic effective field theory and the role of gravitational interactions
journal, June 2019

Stability of condensed fuzzy dark matter halos
journal, October 2018

Formation, gravitational clustering, and interactions of nonrelativistic solitons in an expanding universe
journal, September 2019

Light majoron cold dark matter from topological defects and the formation of boson stars
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