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Title: Caustics for spherical waves

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:
 [1] ;  [2]
  1. Case Western Reserve Univ., Cleveland, OH (United States); Imperial College, London (United Kingdom)
  2. Univ. of Valencia (Spain); Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
Publication Date:
Grant/Contract Number:
SC0009946
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)
Research Org:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1423957
Alternate Identifier(s):
OSTI ID: 1346094

de Rham, Claudia, and Motohashi, Hayato. Caustics for spherical waves. United States: N. p., Web. doi:10.1103/PhysRevD.95.064008.
de Rham, Claudia, & Motohashi, Hayato. Caustics for spherical waves. United States. doi:10.1103/PhysRevD.95.064008.
de Rham, Claudia, and Motohashi, Hayato. 2017. "Caustics for spherical waves". United States. doi: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 = {2017},
month = {3}
}