Classical nonrelativistic effective field theories for a real scalar field

Braaten, Eric; Mohapatra, Abhishek; Zhang, Hong

doi:10.1103/PhysRevD.98.096012

Title: Classical nonrelativistic effective field theories for a real scalar field

Abstract

A classical nonrelativistic effective field theory for a real Lorentz-scalar field $$\phi$$ is most conveniently formulated in terms of a complex scalar field $$\psi$$. There have been two derivations of effective Lagrangians for the complex field $$\psi$$ in which terms in the effective potential were determined to order $$(\psi^* \psi)^4$$. We point out an error in each of the effective Lagrangians. After correcting the errors, we demonstrate the equivalence of the two effective Lagrangians by verifying that they both reproduce $$T$$-matrix elements of the relativistic real scalar field theory and by also constructing a redefinition of the complex field $$\psi$$ that transforms terms in one effective Lagrangian into the corresponding terms of the other.

Authors:: Braaten, Eric; Mohapatra, Abhishek; Zhang, Hong

Publication Date:: Mon Nov 19 00:00:00 EST 2018

Research Org.:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:: 1482766

Alternate Identifier(s):: OSTI ID: 1602490

Grant/Contract Number:: SC0011726; PHY-1310862

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Axions; Effective field theory

Citation Formats


                    Braaten, Eric, Mohapatra, Abhishek, and Zhang, Hong. Classical nonrelativistic effective field theories for a real scalar field.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.096012.

Copy to clipboard


                    Braaten, Eric, Mohapatra, Abhishek, & Zhang, Hong. Classical nonrelativistic effective field theories for a real scalar field.  United States.  https://doi.org/10.1103/PhysRevD.98.096012

Copy to clipboard


                    Braaten, Eric, Mohapatra, Abhishek, and Zhang, Hong. Mon .  
"Classical nonrelativistic effective field theories for a real scalar field".  United States.  https://doi.org/10.1103/PhysRevD.98.096012.

Copy to clipboard


                    
@article{osti_1482766,

  title        = {Classical nonrelativistic effective field theories for a real scalar field},

  author       = {Braaten, Eric and Mohapatra, Abhishek and Zhang, Hong},

  abstractNote = {A classical nonrelativistic effective field theory for a real Lorentz-scalar field $\phi$ is most conveniently formulated in terms of a complex scalar field $\psi$. There have been two derivations of effective Lagrangians for the complex field $\psi$ in which terms in the effective potential were determined to order $(\psi^* \psi)^4$. We point out an error in each of the effective Lagrangians. After correcting the errors, we demonstrate the equivalence of the two effective Lagrangians by verifying that they both reproduce $T$-matrix elements of the relativistic real scalar field theory and by also constructing a redefinition of the complex field $\psi$ that transforms terms in one effective Lagrangian into the corresponding terms of the other.},

  doi          = {10.1103/PhysRevD.98.096012},

  journal      = {Physical Review. D.},

  number       = 9,

  volume       = 98,

  place        = {United States},

  year         = {Mon Nov 19 00:00:00 EST 2018},

  month        = {Mon Nov 19 00:00:00 EST 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.98.096012

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 23 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Systems of Self-Gravitating Particles in General Relativity and the Concept of an Equation of State
journal, November 1969

Ruffini, Remo; Bonazzola, Silvano
Physical Review, Vol. 187, Issue 5
DOI: 10.1103/PhysRev.187.1767

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

On the evolution of global strings in the early universe
journal, September 1987

Harari, Diego; Sikivie, P.
Physics Letters B, Vol. 195, Issue 3
DOI: 10.1016/0370-2693(87)90032-3

Erratum: Analysis of dark matter axion clumps with spherical symmetry
journal, March 2018

Schiappacasse, Enrico D.; Hertzberg, Mark P.
Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 03
DOI: 10.1088/1475-7516/2018/03/E01

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

Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states
journal, April 2018

Eby, Joshua; Suranyi, Peter; Wijewardhana, L. C. R.
Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
DOI: 10.1088/1475-7516/2018/04/038

Open effective field theories from deeply inelastic reactions
journal, September 2016

Braaten, Eric; Hammer, H. -W.; Lepage, G. Peter
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.056006

Cosmic axions from cosmic strings
journal, November 1986

Davis, R. L.
Physics Letters B, Vol. 180, Issue 3
DOI: 10.1016/0370-2693(86)90300-X

Axion stars in the infrared limit
journal, March 2015

Eby, Joshua; Suranyi, Peter; Vaz, Cenalo
Journal of High Energy Physics, Vol. 2015, Issue 3
DOI: 10.1007/JHEP03(2015)080

Pseudostable bubbles
journal, March 1994

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

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

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

Bose-Einstein Condensation of Dark Matter Axions
journal, September 2009

Sikivie, P.; Yang, Q.
Physical Review Letters, Vol. 103, Issue 11
DOI: 10.1103/PhysRevLett.103.111301

Relativistic corrections to nonrelativistic effective field theories
journal, July 2018

Namjoo, Mohammad Hossein; Guth, Alan H.; Kaiser, David I.
Physical Review D, Vol. 98, Issue 1
DOI: 10.1103/PhysRevD.98.016011

Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation
journal, May 2018

Deng, Jian; Schlichting, Soeren; Venugopalan, Raju
Physical Review A, Vol. 97, Issue 5
DOI: 10.1103/PhysRevA.97.053606

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

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

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

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

Cascade evolution of spherically symmetric pulsons in multivacuum field theory models
journal, May 1977

Bogolubsky, I. L.
Physics Letters A, Vol. 61, Issue 4
DOI: 10.1016/0375-9601(77)90138-4

Similar Records in DOE PAGES and OSTI.GOV collections:

Relativistic corrections to nonrelativistic effective field theories

Journal Article Namjoo, Mohammad Hossein ; Guth, Alan H. ; Kaiser, David I. - Physical Review D

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 axionmore »« less
Cited by 40
https://doi.org/10.1103/PhysRevD.98.016011
Phase transition patterns in relativistic and nonrelativistic multi-scalar-field models

Journal Article Pinto, Marcus Benghi ; Parreira, Julia E ; Ramos, Rudnei O - Physical Review. D, Particles Fields

We discuss the phenomena of symmetry nonrestoration and inverse symmetry breaking in the context of multi-scalar field theories at finite temperatures and present its consequences for the relativistic Higgs-Kibble multi-field sector as well as for a nonrelativistic model of hard core spheres. For relativistic scalar field models, it has been shown previously that temperature effects on the couplings do not alter, qualitatively, the phase transition pattern. Here, we show that for the nonrelativistic analogue of these models inverse symmetry breaking, as well as symmetry nonrestoration, cannot take place, at high temperatures, when the temperature dependence of the two-body couplings ismore »« less
https://doi.org/10.1103/PhysRevD.71.123519
Colloquium: The physics of axion stars

Journal Article Braaten, Eric ; Zhang, Hong - Reviews of Modern Physics

The particle that makes up the dark matter of the Universe could be an axion or axionlike particle. A collection of axions can condense into a bound Bose-Einstein condensate called an axion star. It is possible that a significant fraction of the axion dark matter is in the form of axion stars. This would make some efforts to identify the axion as the dark matter particle more challenging, but it would also open up new possibilities. Here, the basic properties of axion stars, which can be gravitationally bound or bound by self-interactions, are summarized. Axions are naturally described by amore »« less
https://doi.org/10.1103/revmodphys.91.041002

Full Text Available
Non-perturbative studies of scalar and scalar-fermion quantum field theories at zero and finite temperature using the Gaussian effective potential

Thesis/Dissertation Hajj, G A

The Gaussian effective potential (GEP), a non-perturbative approach to study quantum field theory, is applied to scalar and scalar-fermion models. We study the scalar {phi}{sup 6} field coupled to fermions through g{sub B}{phi}{psi}{psi} or g{sub B}{phi}{sup 2}{psi}{psi} in 2 and 3 space-time dimensions. In addition, we derive the finite temperature (T > 0) GEP from first principles and apply it to study these models at T > 0. Also the Autonomous {lambda}{phi}{sup 4}, coupled to fermions through a Yukawa term (g{sub B}{phi}{psi}{psi}), is examined in 4 dimensions at T > 0. In all these models, in order to obtain stablemore »« less
Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation

Journal Article Deng, Jian ; Schlichting, Soeren ; Venugopalan, Raju ; ... - Physical Review A

Here, we map the infrared dynamics of a relativistic single-component (N=1) interacting scalar field theory to that of nonrelativistic complex scalar fields. The Gross-Pitaevskii (GP) equation, describing the real-time dynamics of single-component ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of λΦ²/m² where λ, Φ, and m are the coupling constant, the scalar field, and the particle mass respectively. Our analytical studies are corroborated by numerical simulations of the spatial and momentum structure of overoccupied scalar fields in (2+1)-dimensions. Universal scaling of infrared modes, vortex-antivortex superfluid dynamics, and the off-equilibrium formation ofmore »« less
Cited by 18
https://doi.org/10.1103/PhysRevA.97.053606

Full Text Available

Similar Records

Title: Classical nonrelativistic effective field theories for a real scalar field

Abstract

Citation Formats

Systems of Self-Gravitating Particles in General Relativity and the Concept of an Equation of State journal, November 1969

Axions and the strong C P problem journal, March 2010

On the evolution of global strings in the early universe journal, September 1987

Erratum: Analysis of dark matter axion clumps with spherical symmetry journal, March 2018

The not-so-harmless axion journal, January 1983

Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states journal, April 2018

Open effective field theories from deeply inelastic reactions journal, September 2016

Cosmic axions from cosmic strings journal, November 1986

Axion stars in the infrared limit journal, March 2015

Pseudostable bubbles journal, March 1994

Cosmology of the invisible axion journal, January 1983

A cosmological bound on the invisible axion journal, January 1983

Nonrelativistic effective field theory for axions journal, October 2016

Bose-Einstein Condensation of Dark Matter Axions journal, September 2009

Relativistic corrections to nonrelativistic effective field theories journal, July 2018

Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation journal, May 2018

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

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

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

Dilute and dense axion stars journal, February 2018

Cascade evolution of spherically symmetric pulsons in multivacuum field theory models journal, May 1977

Systems of Self-Gravitating Particles in General Relativity and the Concept of an Equation of State
journal, November 1969

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

On the evolution of global strings in the early universe
journal, September 1987

Erratum: Analysis of dark matter axion clumps with spherical symmetry
journal, March 2018

The not-so-harmless axion
journal, January 1983

Expansion in higher harmonics of boson stars using a generalized Ruffini-Bonazzola approach. Part 1. Bound states
journal, April 2018

Open effective field theories from deeply inelastic reactions
journal, September 2016

Cosmic axions from cosmic strings
journal, November 1986

Axion stars in the infrared limit
journal, March 2015

Pseudostable bubbles
journal, March 1994

Cosmology of the invisible axion
journal, January 1983

A cosmological bound on the invisible axion
journal, January 1983

Nonrelativistic effective field theory for axions
journal, October 2016

Bose-Einstein Condensation of Dark Matter Axions
journal, September 2009

Relativistic corrections to nonrelativistic effective field theories
journal, July 2018

Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation
journal, May 2018

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

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

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

Dilute and dense axion stars
journal, February 2018

Cascade evolution of spherically symmetric pulsons in multivacuum field theory models
journal, May 1977