Symmetries for Galileons and DBI scalars on curved space

Goon, Garrett; Hinterbichler, Kurt; Trodden, Mark

doi:10.1088/1475-7516/2011/07/017

Title: Symmetries for Galileons and DBI scalars on curved space

Abstract

We introduced a general class of four-dimensional effective field theories which include curved space Galileons and DBI theories possessing nonlinear shift-like symmetries. These effective theories arise from purely gravitational actions and may prove relevant to the cosmology of both the early and late universe.

Authors:

Goon, Garrett ^[1]; Hinterbichler, Kurt ^[1]; Trodden, Mark ^[1]

Univ. of Pennsylvania, Philadelphia, PA (United States). Center for Particle Cosmology, Dept. of Physics and Astronomy

Publication Date:: Fri Jul 08 00:00:00 EDT 2011

Research Org.:: Univ. of Pennsylvania, Philadelphia, PA (United States)

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

OSTI Identifier:: 1196861

Grant/Contract Number:: FG02-95ER40893

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Cosmology and Astroparticle Physics

Additional Journal Information:: Journal Volume: 2011; Journal Issue: 07; Journal ID: ISSN 1475-7516

Publisher:: Institute of Physics (IOP)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; curved space Galileons and DBI theories

Citation Formats


                    Goon, Garrett, Hinterbichler, Kurt, and Trodden, Mark. Symmetries for Galileons and DBI scalars on curved space.  United States: N. p., 2011. 
Web.  doi:10.1088/1475-7516/2011/07/017.

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                    Goon, Garrett, Hinterbichler, Kurt, & Trodden, Mark. Symmetries for Galileons and DBI scalars on curved space.  United States.  https://doi.org/10.1088/1475-7516/2011/07/017

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                    Goon, Garrett, Hinterbichler, Kurt, and Trodden, Mark. Fri .  
"Symmetries for Galileons and DBI scalars on curved space".  United States.  https://doi.org/10.1088/1475-7516/2011/07/017.  https://www.osti.gov/servlets/purl/1196861.

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@article{osti_1196861,

  title        = {Symmetries for Galileons and DBI scalars on curved space},

  author       = {Goon, Garrett and Hinterbichler, Kurt and Trodden, Mark},

  abstractNote = {We introduced a general class of four-dimensional effective field theories which include curved space Galileons and DBI theories possessing nonlinear shift-like symmetries. These effective theories arise from purely gravitational actions and may prove relevant to the cosmology of both the early and late universe.},

  doi          = {10.1088/1475-7516/2011/07/017},

  journal      = {Journal of Cosmology and Astroparticle Physics},

  number       = 07,

  volume       = 2011,

  place        = {United States},

  year         = {Fri Jul 08 00:00:00 EDT 2011},

  month        = {Fri Jul 08 00:00:00 EDT 2011}

}

Copy to clipboard

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Symmetries for Galileons and DBI scalars on curved space

Journal Article Goon, Garrett ; Hinterbichler, Kurt ; Trodden, Mark - Journal of Cosmology and Astroparticle Physics

We introduce a general class of four-dimensional effective field theories which include curved space Galileons and DBI theories possessing nonlinear shift-like symmetries. These effective theories arise from purely gravitational actions for 3-branes probing higher dimensional spaces. In the simplest case of a Minkowski brane embedded in a higher dimensional Minkowski background, the resulting four-dimensional effective field theory is the Galileon one, with its associated Galilean symmetry and second order equations. However, much more general structures are possible. We construct the general theory and explicitly derive the examples obtained from embedding maximally symmetric branes in maximally symmetric ambient spaces. Among thesemore »« less
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The worldvolume actions of 3+1 dimensional bosonic branes embedded in a five-dimensional bulk space can lead to important effective field theories, such as the DBI conformal Galileons, and may, when the Null Energy Condition is violated, play an essential role in cosmological theories of the early universe. These include Galileon Genesis and “bouncing” cosmology, where a pre-Big Bang contracting phase bounces smoothly to the presently observed expanding universe. Perhaps the most natural arena for such branes to arise is within the context of superstring and M -theory vacua. Here, not only are branes required for the consistency of the theory,more »« less
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Effective theories of a scalar φ invariant under the internal galileon symmetry φ→φ+b{sub μ} x{sup μ} have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we introduce the notion of weakly broken galileon invariance, which characterizes the unique class of couplings of such theories to gravity that maximally retain their defining symmetry. The curved-space remnant of the galileon's quantum properties allows to construct (quasi) de Sitter backgrounds largely insensitive to loop corrections. We exploit this fact to build novel cosmological models with interesting phenomenology, relevant for both inflation and late-time acceleration of the universe.
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Weakly broken galileon symmetry

Journal Article Pirtskhalava, David ; Santoni, Luca ; Trincherini, Enrico ; ... - Journal of Cosmology and Astroparticle Physics

Effective theories of a scalar ϕ invariant under the internal galileon symmetryϕ→ϕ+b{sub μ}x{sup μ} have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we introduce the notion of weakly broken galileon invariance, which characterizes the unique class of couplings of such theories to gravity that maximally retain their defining symmetry. The curved-space remnant of the galileon’s quantum properties allows to construct (quasi) de Sitter backgrounds largely insensitive to loop corrections. We exploit this fact to build novel cosmological models with interesting phenomenology, relevant for both inflation and late-time acceleration of the universe.
https://doi.org/10.1088/1475-7516/2015/09/007

Similar Records

Title: Symmetries for Galileons and DBI scalars on curved space

Abstract

Citation Formats

4D gravity on a brane in 5D Minkowski space journal, July 2000

Strong interactions and stability in the DGP model journal, September 2003

Classical and Quantum Consistency of the DGP Model journal, June 2004

Galileon as a local modification of gravity journal, March 2009

Multifield Galileons and higher codimension branes journal, December 2010

Galileon inflation journal, January 2011

Screening bulk curvature in the presence of large brane tension journal, June 2011

Galilean genesis: an alternative to inflation journal, November 2010

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity journal, February 2011

Matter perturbations in Galileon cosmology journal, February 2011

Imperfect dark energy from kinetic gravity braiding journal, October 2010

Primordial non-Gaussianity from G inflation journal, May 2011

Cosmology of the selfaccelerating third order Galileon journal, December 2010

Galilean-Invariant Scalar Fields Can Strengthen Gravitational Lensing journal, May 2011

Self-accelerating universe in Galileon cosmology journal, December 2009

Primordial non-Gaussianity from the DBI Galileons journal, November 2010

Covariant Galileon journal, April 2009

Arbitrary p -form Galileons journal, September 2010

Bi-galileon theory I: motivation and formulation journal, December 2010

Multi-Galileons, solitons, and Derrick’s theorem journal, February 2011

Bi-galileon theory II: phenomenology journal, January 2011

Goldstone’s theorem and Hamiltonian of multi-Galileon modified gravity journal, March 2011

Cascading gravity and degravitation journal, February 2008

Cascading Gravity: Extending the Dvali-Gabadadze-Porrati Model to Higher Dimension journal, June 2008

Cascading cosmology journal, April 2010

DBI in the sky: Non-Gaussianity from inflation with a speed limit journal, December 2004

Dark energy properties in DBI theory journal, December 2009

Enhanced Brane Tunneling and Instanton Wrinkles journal, October 2007

Distinguishing k -defects from their canonical twins journal, November 2010

DBI global strings journal, July 2008

Generalized global defect solutions journal, August 2007

Dirac Born Infeld (DBI) cosmic strings journal, March 2009

Derrick’s theorem beyond a potential journal, May 2011

DBI and the Galileon reunited journal, May 2010

New Class of Effective Field Theories from Embedded Branes journal, June 2011

Ostrogradski formalism for higher-derivative scalar field theories journal, August 1998

Galileons from Lovelock actions journal, April 2011

The Einstein Tensor and Its Generalizations journal, March 1971

Action integrals and partition functions in quantum gravity journal, May 1977

Role of Conformal Three-Geometry in the Dynamics of Gravitation journal, April 1972

Higher-derivative gravity, surface terms, and string theory journal, July 1987

Counterterms in dimensionally continued AdS gravity journal, October 2007

Boundary terms, variational principles, and higher derivative modified gravity journal, January 2009

Universal field equations with covariant solutions journal, March 1992

Euler hierarchies and universal equations journal, October 1992

Universal field equations with reparametrisation invariance journal, May 1992

Comments on Galileons journal, June 2011

Stability and superluminality of spherical DBI Galileon solutions journal, April 2011

Positive energy in anti-de Sitter backgrounds and gauged extended supergravity journal, September 1982

Counterterms in Dimensionally Continued AdS Gravity text, January 2007

Dirac Born Infeld (DBI) Cosmic Strings text, January 2008

The galileon as a local modification of gravity text, January 2008

Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors text, January 2009

Derrick's theorem beyond a potential text, January 2010

DBI and the Galileon reunited text, January 2010

Imperfect Dark Energy from Kinetic Gravity Braiding text, January 2010

Multi-field galileons and higher co-dimension branes text, January 2010

Bi-galileon theory II: phenomenology text, January 2010

Stability and superluminality of spherical DBI galileon solutions text, January 2010

Primordial non-Gaussianity from the DBI Galileons text, January 2010

Galileon inflation text, January 2010

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity text, January 2010

Matter perturbations in Galileon cosmology text, January 2010

Galilean-invariant scalar fields can strengthen gravitational lensing text, January 2011

Screening bulk curvature in the presence of large brane tension text, January 2011

Scalar Speed Limits and Cosmology: Acceleration from D-cceleration text, January 2003

Global topological k-defects text, January 2006

Ostrogradski Formalism for Higher-Derivative Scalar Field Theories text, January 1998

Material models of dark energy: Material models of dark energy journal, June 2014

Inequivalence of coset constructions for spacetime symmetries journal, February 2015

A geometrical approach to degenerate scalar-tensor theories journal, February 2017

Shift symmetries in (anti) de Sitter space journal, February 2019

Galileons as Wess-Zumino terms journal, June 2012

Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff journal, June 2015

On the (A)dS decoupling limits of massive gravity journal, September 2018

Shift-symmetric spin-1 theories journal, September 2019

Holographic relationships in Lovelock type brane gravity journal, August 2019

4D gravity on a brane in 5D Minkowski space
journal, July 2000

Strong interactions and stability in the DGP model
journal, September 2003

Classical and Quantum Consistency of the DGP Model
journal, June 2004

Galileon as a local modification of gravity
journal, March 2009

Multifield Galileons and higher codimension branes
journal, December 2010

Galileon inflation
journal, January 2011

Screening bulk curvature in the presence of large brane tension
journal, June 2011

Galilean genesis: an alternative to inflation
journal, November 2010

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
journal, February 2011

Matter perturbations in Galileon cosmology
journal, February 2011

Imperfect dark energy from kinetic gravity braiding
journal, October 2010

Primordial non-Gaussianity from $G$ inflation
journal, May 2011

Cosmology of the selfaccelerating third order Galileon
journal, December 2010

Galilean-Invariant Scalar Fields Can Strengthen Gravitational Lensing
journal, May 2011

Self-accelerating universe in Galileon cosmology
journal, December 2009

Primordial non-Gaussianity from the DBI Galileons
journal, November 2010

Covariant Galileon
journal, April 2009

Arbitrary $p$ -form Galileons
journal, September 2010

Bi-galileon theory I: motivation and formulation
journal, December 2010

Multi-Galileons, solitons, and Derrick’s theorem
journal, February 2011

Bi-galileon theory II: phenomenology
journal, January 2011

Goldstone’s theorem and Hamiltonian of multi-Galileon modified gravity
journal, March 2011

Cascading gravity and degravitation
journal, February 2008

Cascading Gravity: Extending the Dvali-Gabadadze-Porrati Model to Higher Dimension
journal, June 2008

Cascading cosmology
journal, April 2010

DBI in the sky: Non-Gaussianity from inflation with a speed limit
journal, December 2004

Dark energy properties in DBI theory
journal, December 2009

Enhanced Brane Tunneling and Instanton Wrinkles
journal, October 2007

Distinguishing $k$ -defects from their canonical twins
journal, November 2010

DBI global strings
journal, July 2008

Generalized global defect solutions
journal, August 2007

Dirac Born Infeld (DBI) cosmic strings
journal, March 2009

Derrick’s theorem beyond a potential
journal, May 2011

DBI and the Galileon reunited
journal, May 2010

New Class of Effective Field Theories from Embedded Branes
journal, June 2011

Ostrogradski formalism for higher-derivative scalar field theories
journal, August 1998

Galileons from Lovelock actions
journal, April 2011

The Einstein Tensor and Its Generalizations
journal, March 1971

Action integrals and partition functions in quantum gravity
journal, May 1977

Role of Conformal Three-Geometry in the Dynamics of Gravitation
journal, April 1972

Higher-derivative gravity, surface terms, and string theory
journal, July 1987

Counterterms in dimensionally continued AdS gravity
journal, October 2007

Boundary terms, variational principles, and higher derivative modified gravity
journal, January 2009

Universal field equations with covariant solutions
journal, March 1992

Euler hierarchies and universal equations
journal, October 1992

Universal field equations with reparametrisation invariance
journal, May 1992

Comments on Galileons
journal, June 2011

Stability and superluminality of spherical DBI Galileon solutions
journal, April 2011

Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982

Counterterms in Dimensionally Continued AdS Gravity
text, January 2007

Dirac Born Infeld (DBI) Cosmic Strings
text, January 2008

The galileon as a local modification of gravity
text, January 2008

Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
text, January 2009

Derrick's theorem beyond a potential
text, January 2010

DBI and the Galileon reunited
text, January 2010

Imperfect Dark Energy from Kinetic Gravity Braiding
text, January 2010

Multi-field galileons and higher co-dimension branes
text, January 2010

Bi-galileon theory II: phenomenology
text, January 2010

Stability and superluminality of spherical DBI galileon solutions
text, January 2010

Primordial non-Gaussianity from the DBI Galileons
text, January 2010

Galileon inflation
text, January 2010

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
text, January 2010

Matter perturbations in Galileon cosmology
text, January 2010

Galilean-invariant scalar fields can strengthen gravitational lensing
text, January 2011

Screening bulk curvature in the presence of large brane tension
text, January 2011

Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
text, January 2003

Global topological k-defects
text, January 2006

Ostrogradski Formalism for Higher-Derivative Scalar Field Theories
text, January 1998

Material models of dark energy: Material models of dark energy
journal, June 2014

Inequivalence of coset constructions for spacetime symmetries
journal, February 2015

A geometrical approach to degenerate scalar-tensor theories
journal, February 2017

Shift symmetries in (anti) de Sitter space
journal, February 2019

Galileons as Wess-Zumino terms
journal, June 2012

Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff
journal, June 2015

On the (A)dS decoupling limits of massive gravity
journal, September 2018

Shift-symmetric spin-1 theories
journal, September 2019

Holographic relationships in Lovelock type brane gravity
journal, August 2019

Horndeski theory and beyond: a review
journal, July 2019

Bouncing Galileon cosmologies
journal, October 2011

Non-linear realizations of conformal symmetry and effective field theory for the pseudo-conformal universe
journal, June 2012