Caustics for spherical waves
Abstract
We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an S O ( p ) -symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI–Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple S O ( p ) -waves and the existence of either a global Galilean symmetry or a global (extreme-)relativistic Galilean symmetry.
- Authors:
-
- Case Western Reserve Univ., Cleveland, OH (United States); Imperial College, London (United Kingdom)
- Univ. of Valencia (Spain); Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
- Publication Date:
- Research Org.:
- Case Western Reserve Univ., Cleveland, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1423957
- Alternate Identifier(s):
- OSTI ID: 1346094
- Grant/Contract Number:
- SC0009946
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
de Rham, Claudia, and Motohashi, Hayato. Caustics for spherical waves. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.95.064008.
de Rham, Claudia, & Motohashi, Hayato. Caustics for spherical waves. United States. https://doi.org/10.1103/PhysRevD.95.064008
de Rham, Claudia, and Motohashi, Hayato. Tue .
"Caustics for spherical waves". United States. https://doi.org/10.1103/PhysRevD.95.064008. https://www.osti.gov/servlets/purl/1423957.
@article{osti_1423957,
title = {Caustics for spherical waves},
author = {de Rham, Claudia and Motohashi, Hayato},
abstractNote = {We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an S O ( p ) -symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI–Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple S O ( p ) -waves and the existence of either a global Galilean symmetry or a global (extreme-)relativistic Galilean symmetry.},
doi = {10.1103/PhysRevD.95.064008},
journal = {Physical Review D},
number = 6,
volume = 95,
place = {United States},
year = {Tue Mar 07 00:00:00 EST 2017},
month = {Tue Mar 07 00:00:00 EST 2017}
}
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Cited by: 22 works
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Works referenced in this record:
Hawking's chronology protection conjecture: singularity structure of the quantum stress-energy tensor
journal, April 1994
- Visser, Matt
- Nuclear Physics B, Vol. 416, Issue 3
Membranes at quantum criticality
journal, March 2009
- Hořava, Petr
- Journal of High Energy Physics, Vol. 2009, Issue 03
Caustics and wave propagation in curved spacetimes
journal, June 2012
- Harte, Abraham I.; Drivas, Theodore D.
- Physical Review D, Vol. 85, Issue 12
DBI and the Galileon reunited
journal, May 2010
- Rham, Claudia de; Tolley, Andrew J.
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
Formation of caustics in Dirac-Born-Infeld type scalar field systems
journal, November 2010
- Goswami, U. D.; Nandan, H.; Sami, M.
- Physical Review D, Vol. 82, Issue 10
Field-theoretical formulations of MOND-like gravity
journal, December 2007
- Bruneton, Jean-Philippe; Esposito-Farèse, Gilles
- Physical Review D, Vol. 76, Issue 12
Publisher’s Note: Field-theoretical formulations of MOND-like gravity [Phys. Rev. D 76 , 124012 (2007)]
journal, December 2007
- Bruneton, Jean-Philippe; Esposito-Farese, Gilles
- Physical Review D, Vol. 76, Issue 12
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
Is the DBI scalar field as fragile as other -essence fields?
journal, July 2016
- Mukohyama, Shinji; Namba, Ryo; Watanabe, Yota
- Physical Review D, Vol. 94, Issue 2
New Class of Consistent Scalar-Tensor Theories
journal, May 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Physical Review Letters, Vol. 114, Issue 21
Third order equations of motion and the Ostrogradsky instability
journal, April 2015
- Motohashi, Hayato; Suyama, Teruaki
- Physical Review D, Vol. 91, Issue 8
Relativistic gravitation theory for the modified Newtonian dynamics paradigm
journal, October 2004
- Bekenstein, Jacob D.
- Physical Review D, Vol. 70, Issue 8
Cuscuton and low-energy limit of Hořava-Lifshitz gravity
journal, October 2009
- Afshordi, Niayesh
- Physical Review D, Vol. 80, Issue 8
Causality and superluminal behavior in classical field theories: Applications to -essence theories and modified-Newtonian-dynamics-like theories of gravity
journal, April 2007
- Bruneton, Jean-Philippe
- Physical Review D, Vol. 75, Issue 8
Caustic avoidance in Hořava–Lifshitz gravity
journal, September 2009
- Mukohyama, Shinji
- Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 09
Quantum gravity at a Lifshitz point
journal, April 2009
- Hořava, Petr
- Physical Review D, Vol. 79, 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
Covariant Galileon
journal, April 2009
- Deffayet, C.; Esposito-Farèse, G.; Vikman, A.
- Physical Review D, Vol. 79, Issue 8
`Good propagation' and duality invariance constraints on scalar, gauge vector and gravity actions
journal, January 1999
- Deser, S.; McCarthy, J.; Sarioglu, Ö
- Classical and Quantum Gravity, Vol. 16, Issue 3
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
k -Essence, superluminal propagation, causality and emergent geometry
journal, February 2008
- Babichev, Eugeny; Mukhanov, Viatcheslav; Vikman, Alexander
- Journal of High Energy Physics, Vol. 2008, Issue 02
Quantum Caustics for Systems with Quadratic Lagrangians in Multi-dimensions
journal, January 2000
- Horie, Kenichi; Miyazaki, Hitoshi; Tsutsui, Izumi
- Annals of Physics, Vol. 279, Issue 1
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
Riding on irrelevant operators
journal, November 2014
- de Rham, Claudia; Ribeiro, Raquel H.
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 11
Horndeski: beyond, or not beyond?
journal, March 2016
- Crisostomi, Marco; Hull, Matthew; Koyama, Kazuya
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
Generalization of the Fierz-Pauli action
journal, August 2010
- de Rham, Claudia; Gabadadze, Gregory
- Physical Review D, Vol. 82, Issue 4
Causal field theory with an infinite speed of sound
journal, April 2007
- Afshordi, Niayesh; Chung, Daniel J. H.; Geshnizjani, Ghazal
- Physical Review D, Vol. 75, Issue 8
Erratum: Relativistic gravitation theory for the modified Newtonian dynamics paradigm [Phys. Rev. D 70 , 083509 (2004)]
journal, March 2005
- Bekenstein, Jacob D.
- Physical Review D, Vol. 71, Issue 6
Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
journal, June 2016
- Ben Achour, Jibril; Langlois, David; Noui, Karim
- Physical Review D, Vol. 93, Issue 12
Superluminality and UV completion
journal, September 2007
- Shore, G. M.
- Nuclear Physics B, Vol. 778, Issue 3
Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
journal, September 2009
- Deffayet, C.; Deser, S.; Esposito-Farèse, G.
- Physical Review D, Vol. 80, Issue 6
Resummation of Massive Gravity
journal, June 2011
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- Physical Review Letters, Vol. 106, Issue 23
The theory of caustics and wave front singularities with physical applications
journal, June 2000
- Ehlers, Jürgen; Newman, Ezra T.
- Journal of Mathematical Physics, Vol. 41, Issue 6
Hyperbolic systems of conservation laws II
journal, January 1957
- Lax, P. D.
- Communications on Pure and Applied Mathematics, Vol. 10, Issue 4
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
Caustic Singularity in Hořava-Lifshitz Gravity
journal, July 2011
- Setare, M. R.; Momeni, Davood
- International Journal of Theoretical Physics, Vol. 51, Issue 1
Strong interactions and stability in the DGP model
journal, September 2003
- Luty, Markus A.; Porrati, Massimo; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2003, Issue 09
TeVeS gets caught on caustics
journal, August 2008
- Contaldi, Carlo R.; Wiseman, Toby; Withers, Benjamin
- Physical Review D, Vol. 78, Issue 4
Caustics in Tachyon Matter and Other Born-Infeld Scalars
journal, September 2002
- Felder, Gary; Kofman, Lev; Starobinsky, Alexei
- Journal of High Energy Physics, Vol. 2002, Issue 09
Massive Gravity
journal, August 2014
- de Rham, Claudia
- Living Reviews in Relativity, Vol. 17, Issue 1
Cuscuton cosmology: Dark energy meets modified gravity
journal, June 2007
- Afshordi, Niayesh; Chung, Daniel J. H.; Doran, Michael
- Physical Review D, Vol. 75, Issue 12
Self-accelerating massive gravity: Hidden constraints and characteristics
journal, May 2016
- Motloch, Pavel; Hu, Wayne; Motohashi, Hayato
- Physical Review D, Vol. 93, Issue 10
Counting the degrees of freedom of generalized Galileons
journal, October 2015
- Deffayet, Cédric; Esposito-Farèse, Gilles; Steer, Danièle A.
- Physical Review D, Vol. 92, Issue 8
Formation of caustics in k-essence and Horndeski theory
journal, April 2016
- Babichev, Eugeny
- Journal of High Energy Physics, Vol. 2016, Issue 4
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
Causality and micro-causality in curved spacetime
journal, October 2007
- Hollowood, Timothy J.; Shore, Graham M.
- Physics Letters B, Vol. 655, Issue 1-2
Caustic Formation in Tachyon Effective Field Theories
journal, July 2004
- Barnaby, Neil
- Journal of High Energy Physics, Vol. 2004, Issue 07
Generalized G-Inflation: --Inflation with the Most General Second-Order Field Equations--
journal, September 2011
- Kobayashi, T.; Yamaguchi, M.; Yokoyama, J.
- Progress of Theoretical Physics, Vol. 126, Issue 3
Healthy degenerate theories with higher derivatives
journal, July 2016
- Motohashi, Hayato; Noui, Karim; Suyama, Teruaki
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
Galileon as a local modification of gravity
journal, March 2009
- Nicolis, Alberto; Rattazzi, Riccardo; Trincherini, Enrico
- Physical Review D, Vol. 79, Issue 6
Self-accelerating massive gravity: Superluminality, Cauchy surfaces, and strong coupling
journal, August 2015
- Motloch, Pavel; Hu, Wayne; Joyce, Austin
- Physical Review D, Vol. 92, 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
Ostrogradsky in theories with multiple fields
journal, June 2016
- de Rham, Claudia; Matas, Andrew
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 06
Works referencing / citing this record:
A new scalar–tensor realization of Hořava–Lifshitz gravity
journal, March 2019
- Chagoya, Javier; Tasinato, Gianmassimo
- Classical and Quantum Gravity, Vol. 36, Issue 7
Recovering P ( X ) from a canonical complex field
journal, November 2018
- Babichev, Eugeny; Ramazanov, Sabir; Vikman, Alexander
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11
Extended cuscuton: formulation
journal, December 2018
- Iyonaga, Aya; Takahashi, Kazufumi; Kobayashi, Tsutomu
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 12
Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
journal, July 2019
- Takahashi, Kazufumi; Motohashi, Hayato; Minamitsuji, Masato
- Physical Review D, Vol. 100, Issue 2
Extended Cuscuton: Formulation
text, January 2018
- Iyonaga, Aya; Takahashi, Kazufumi; Kobayashi, Tsutomu
- arXiv