Oscillons in higher-derivative effective field theories
Abstract
We investigate the existence and behavior of oscillons in theories in which higher derivative terms are present in the Lagrangian, such as Galileons. Such theories have emerged in a broad range of settings, from higher-dimensional models, to massive gravity, to models for late-time cosmological acceleration. By focusing on the simplest example—massive Galileon effective field theories—we demonstrate that higher derivative terms can lead to the existence of completely new oscillons (quasibreathers). We illustrate our techniques in the artificially simple case of 1 + 1 dimensions, and then present the complete analysis valid in 2 + 1 and 3 + 1 dimensions, exploring precisely how these new solutions are supported entirely by the nonlinearities of the quartic Galileon. These objects have the novel peculiarity that they are of the differentiability class C1.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1485732
- Alternate Identifier(s):
- OSTI ID: 1612006
- Grant/Contract Number:
- SC0013528
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 12; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; Alternative gravity theories
Citation Formats
Sakstein, Jeremy, and Trodden, Mark. Oscillons in higher-derivative effective field theories. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.123512.
Sakstein, Jeremy, & Trodden, Mark. Oscillons in higher-derivative effective field theories. United States. https://doi.org/10.1103/PhysRevD.98.123512
Sakstein, Jeremy, and Trodden, Mark. Thu .
"Oscillons in higher-derivative effective field theories". United States. https://doi.org/10.1103/PhysRevD.98.123512.
@article{osti_1485732,
title = {Oscillons in higher-derivative effective field theories},
author = {Sakstein, Jeremy and Trodden, Mark},
abstractNote = {We investigate the existence and behavior of oscillons in theories in which higher derivative terms are present in the Lagrangian, such as Galileons. Such theories have emerged in a broad range of settings, from higher-dimensional models, to massive gravity, to models for late-time cosmological acceleration. By focusing on the simplest example—massive Galileon effective field theories—we demonstrate that higher derivative terms can lead to the existence of completely new oscillons (quasibreathers). We illustrate our techniques in the artificially simple case of 1 + 1 dimensions, and then present the complete analysis valid in 2 + 1 and 3 + 1 dimensions, exploring precisely how these new solutions are supported entirely by the nonlinearities of the quartic Galileon. These objects have the novel peculiarity that they are of the differentiability class C1.},
doi = {10.1103/PhysRevD.98.123512},
journal = {Physical Review D},
number = 12,
volume = 98,
place = {United States},
year = {Thu Dec 13 00:00:00 EST 2018},
month = {Thu Dec 13 00:00:00 EST 2018}
}
https://doi.org/10.1103/PhysRevD.98.123512
Web of Science
Works referenced in this record:
Non-perturbative aspects of galileon duality
journal, July 2018
- Millington, Peter; Niedermann, Florian; Padilla, Antonio
- The European Physical Journal C, Vol. 78, Issue 7
Causality, analyticity and an IR obstruction to UV completion
journal, October 2006
- Adams, Allan; Arkani-Hamed, Nima; Dubovsky, Sergei
- Journal of High Energy Physics, Vol. 2006, Issue 10
Hydrogen Burning in Low Mass Stars Constrains Scalar-Tensor Theories of Gravity
journal, November 2015
- Sakstein, Jeremy
- Physical Review Letters, Vol. 115, Issue 20
DBI and the Galileon reunited
journal, May 2010
- Rham, Claudia de; Tolley, Andrew J.
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
Oscillons after Inflation
journal, June 2012
- Amin, Mustafa A.; Easther, Richard; Finkel, Hal
- Physical Review Letters, Vol. 108, Issue 24
Transforming gravity: From derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
journal, March 2014
- Zumalacárregui, Miguel; García-Bellido, Juan
- Physical Review D, Vol. 89, Issue 6
Massive Galileon positivity bounds
journal, September 2017
- de Rham, Claudia; Melville, Scott; Tolley, Andrew J.
- Journal of High Energy Physics, Vol. 2017, Issue 9
Stationary solutions of the wave equation in a medium with nonlinearity saturation
journal, July 1973
- Vakhitov, N. G.; Kolokolov, A. A.
- Radiophysics and Quantum Electronics, Vol. 16, Issue 7
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
Tests of gravity with future space-based experiments
journal, March 2018
- Sakstein, Jeremy
- Physical Review D, Vol. 97, Issue 6
Nonexistence of small-amplitude breather solutions in theory
journal, February 1987
- Segur, Harvey; Kruskal, Martin D.
- Physical Review Letters, Vol. 58, Issue 8
New Class of Consistent Scalar-Tensor Theories
journal, May 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Physical Review Letters, Vol. 114, Issue 21
K-oscillons: Oscillons with noncanonical kinetic terms
journal, June 2013
- Amin, Mustafa A.
- Physical Review D, Vol. 87, Issue 12
Derrick’s theorem beyond a potential
journal, May 2011
- Endlich, Solomon; Hinterbichler, Kurt; Hui, Lam
- Journal of High Energy Physics, Vol. 2011, Issue 5
Emergence of oscillons in an expanding background
journal, April 2008
- Farhi, E.; Graham, N.; Guth, A. H.
- Physical Review D, Vol. 77, Issue 8
Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
journal, February 2016
- Langlois, David; Noui, Karim
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
Who you gonna call? Runaway ghosts, higher derivatives and time-dependence in EFTs
journal, August 2014
- Burgess, C. P.; Williams, M.
- Journal of High Energy Physics, Vol. 2014, Issue 8
Covariant Galileon
journal, April 2009
- Deffayet, C.; Esposito-Farèse, G.; Vikman, A.
- Physical Review D, Vol. 79, Issue 8
4D gravity on a brane in 5D Minkowski space
journal, July 2000
- Dvali, Gia; Gabadadze, Gregory; Porrati, Massimo
- Physics Letters B, Vol. 485, Issue 1-3
Self-resonance after inflation: Oscillons, transients, and radiation domination
journal, January 2018
- Lozanov, Kaloian D.; Amin, Mustafa A.
- Physical Review D, Vol. 97, Issue 2
Second-order scalar-tensor field equations in a four-dimensional space
journal, September 1974
- Horndeski, Gregory Walter
- International Journal of Theoretical Physics, Vol. 10, Issue 6
Stability of Time‐Dependent Particlelike Solutions in Nonlinear Field Theories. II
journal, June 1971
- Anderson, David L. T.
- Journal of Mathematical Physics, Vol. 12, Issue 6
Exploring gravitational theories beyond Horndeski
journal, February 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
Tests of chameleon gravity
journal, March 2018
- Burrage, Clare; Sakstein, Jeremy
- Living Reviews in Relativity, Vol. 21, Issue 1
Classical and Quantum Consistency of the DGP Model
journal, June 2004
- Nicolis, Alberto; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2004, Issue 06
Horndeski: beyond, or not beyond?
journal, March 2016
- Crisostomi, Marco; Hull, Matthew; Koyama, Kazuya
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
The observational status of Galileon gravity after Planck
journal, August 2014
- Barreira, Alexandre; Li, Baojiu; Baugh, Carlton M.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 08
Oscillons from string moduli
journal, January 2018
- Antusch, Stefan; Cefalà, Francesco; Krippendorf, Sven
- Journal of High Energy Physics, Vol. 2018, Issue 1
Shape dependence of Vainshtein screening
journal, April 2015
- Bloomfield, Jolyon K.; Burrage, Clare; Davis, Anne-Christine
- Physical Review D, Vol. 91, Issue 8
Resummation of Massive Gravity
journal, June 2011
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Physical Review Letters, Vol. 106, Issue 23
Galilean genesis: an alternative to inflation
journal, November 2010
- Creminelli, Paolo; Nicolis, Alberto; Trincherini, Enrico
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 11
Flat-top oscillons in an expanding universe
journal, April 2010
- Amin, Mustafa A.; Shirokoff, David
- Physical Review D, Vol. 81, Issue 8
Dark Energy after GW170817 and GRB170817A
journal, December 2017
- Creminelli, Paolo; Vernizzi, Filippo
- Physical Review Letters, Vol. 119, Issue 25
Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
journal, December 2017
- Sakstein, Jeremy; Jain, Bhuvnesh
- Physical Review Letters, Vol. 119, Issue 25
A numerical calculation of a weakly non-local solitary wave: the ϕ 4 breather
journal, February 1990
- Boyd, J. P.
- Nonlinearity, Vol. 3, Issue 1
Dark Energy After GW170817: Dead Ends and the Road Ahead
journal, December 2017
- Ezquiaga, Jose María; Zumalacárregui, Miguel
- Physical Review Letters, Vol. 119, Issue 25
Chronology protection in Galileon models and massive gravity
journal, July 2012
- Burrage, Clare; Rham, Claudia de; Heisenberg, Lavinia
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
Splashback in galaxy clusters as a probe of cosmic expansion and gravity
journal, November 2018
- Adhikari, Susmita; Sakstein, Jeremy; Jain, Bhuvnesh
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11
Aspects of Galileon non-renormalization
journal, November 2016
- Goon, Garrett; Hinterbichler, Kurt; Joyce, Austin
- Journal of High Energy Physics, Vol. 2016, Issue 11
Massive Gravity
journal, August 2014
- de Rham, Claudia
- Living Reviews in Relativity, Vol. 17, Issue 1
Defrosting in an emergent Galileon cosmology
journal, November 2011
- Levasseur, Laurence Perreault; Brandenberger, Robert; Davis, Anne-Christine
- Physical Review D, Vol. 84, Issue 10
Galileon inflation
journal, January 2011
- Burrage, Clare; Rham, Claudia de; Seery, David
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 01
Quantum radiation of oscillons
journal, August 2010
- Hertzberg, Mark P.
- Physical Review D, Vol. 82, Issue 4
Strong Constraints on Cosmological Gravity from GW170817 and GRB 170817A
journal, December 2017
- Baker, T.; Bellini, E.; Ferreira, P. G.
- Physical Review Letters, Vol. 119, Issue 25
Traveling wave solutions of a highly nonlinear shallow water equation
journal, January 2018
- Geyer, Anna; Quirchmayr, Ronald
- Discrete & Continuous Dynamical Systems - A, Vol. 38, Issue 3
Galileon radiation from binary systems
journal, March 2013
- de Rham, Claudia; Matas, Andrew; Tolley, Andrew J.
- Physical Review D, Vol. 87, Issue 6
Extended scalar-tensor theories of gravity
journal, April 2016
- Crisostomi, Marco; Koyama, Kazuya; Tasinato, Gianmassimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
Radiation of scalar oscillons in 2 and 3 dimensions
journal, April 2009
- Fodor, Gyula; Forgács, Péter; Horváth, Zalán
- Physics Letters B, Vol. 674, Issue 4-5
Unitarity and the Vainshtein mechanism
journal, February 2015
- Kaloper, Nemanja; Padilla, Antonio; Saffin, Paul M.
- Physical Review D, Vol. 91, Issue 4
De Sitter Galileon
journal, May 2011
- Burrage, Clare; Rham, Claudia de; Heisenberg, Lavinia
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 05
Testing gravity using dwarf stars
journal, December 2015
- Sakstein, Jeremy
- Physical Review D, Vol. 92, Issue 12
Vainshtein in the UV and a Wilsonian analysis of derivatively coupled scalars
journal, June 2018
- Padilla, Antonio; Saltas, Ippocratis D.
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 06
Simulating the quartic Galileon gravity model on adaptively refined meshes
journal, November 2013
- Li, Baojiu; Barreira, Alexandre; Baugh, Carlton M.
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 11
Tests of Gravity Theories Using Supermassive Black Holes
journal, July 2017
- Sakstein, Jeremy; Jain, Bhuvnesh; Heyl, Jeremy S.
- The Astrophysical Journal, Vol. 844, Issue 1
Galileon as a local modification of gravity
journal, March 2009
- Nicolis, Alberto; Rattazzi, Riccardo; Trincherini, Enrico
- Physical Review D, Vol. 79, Issue 6
Computation of the radiation amplitude of oscillons
journal, March 2009
- Fodor, Gyula; Forgács, Péter; Horváth, Zalán
- Physical Review D, Vol. 79, Issue 6
Symmetries for Galileons and DBI scalars on curved space
journal, July 2011
- Goon, Garrett; Hinterbichler, Kurt; Trodden, Mark
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
Improved positivity bounds and massive gravity
journal, April 2018
- de Rham, Claudia; Melville, Scott; Tolley, Andrew J.
- Journal of High Energy Physics, Vol. 2018, Issue 4
Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
journal, December 2016
- Achour, J. Ben; Crisostomi, M.; Koyama, K.
- Journal of High Energy Physics, Vol. 2016, Issue 12
Galileon gravity in light of ISW, CMB, BAO and H 0 data
journal, October 2017
- Renk, Janina; Zumalacárregui, Miguel; Montanari, Francesco
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 10
Small amplitude quasibreathers and oscillons
journal, July 2008
- Fodor, Gyula; Forgács, Péter; Horváth, Zalán
- Physical Review D, Vol. 78, Issue 2
From -essence to generalized Galileons
journal, September 2011
- Deffayet, C.; Gao, Xian; Steer, D. A.
- Physical Review D, Vol. 84, Issue 6
Inflation Driven by the Galileon Field
journal, December 2010
- Kobayashi, Tsutomu; Yamaguchi, Masahide; Yokoyama, Jun’ichi
- Physical Review Letters, Vol. 105, Issue 23