DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Simulating a numerical UV completion of quartic Galileons

Journal Article · · Physical Review. D.

The Galileon theory is a prototypical effective field theory that incorporates the Vainshtein screening mechanism—a feature that arises in some extensions of general relativity, such as massive gravity. The Vainshtein effect requires that the theory contain higher order derivative interactions, which results in Galileons, and theories like them, failing to be technically well posed. While this is not a fundamental issue when the theory is correctly treated as an effective field theory, it nevertheless poses significant practical problems when numerically simulating this model. These problems can be tamed using a number of different approaches: introducing an active low-pass filter and/or constructing a UV completion at the level of the equations of motion, which controls the high momentum modes. These methods have been tested on cubic Galileon interactions, and have been shown to reproduce the correct low-energy behavior. Here we show how the numerical UV-completion method can be applied to quartic Galileon interactions, and present the first simulations of the quartic Galileon model using this technique. We demonstrate that our approach can probe physics in the regime of the effective field theory in which the quartic term dominates, while successfully reproducing the known results for cubic interactions. Published by the American Physical Society 2024

Research Organization:
Krell Institute, Ames, IA (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0013528; SC0023112
OSTI ID:
2474119
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 12 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (51)

Zum Paradoxon der W�rmeleitungstheorie journal August 1967
New positivity bounds from full crossing symmetry journal May 2021
Caustic free completion of pressureless perfect fluid and k-essence journal August 2017
Galileon hairs of Dyson spheres, Vainshtein’s coiffure and hirsute bubbles journal October 2011
Complete decoupling limit of ghost-free massive gravity journal November 2013
Nonstationary irreversible thermodynamics: A causal relativistic theory journal September 1976
Transient relativistic thermodynamics and kinetic theory journal April 1979
To the problem of nonvanishing gravitation mass journal May 1972
Thermodynamics of nonstationary and transient effects in a relativistic gas journal September 1976
Effective field theory for massive gravitons and gravity in theory space journal June 2003
Galileons in the sky journal July 2012
Beyond the cosmological standard model journal March 2015
An introduction to the Vainshtein mechanism journal September 2013
Mixed Galileons and spherically symmetric solutions journal September 2013
Strong interactions and stability in the DGP model journal September 2003
Classical and Quantum Consistency of the DGP Model journal June 2004
The Vainshtein mechanism in the decoupling limit of massive gravity journal May 2009
Scalar gravitational radiation from binaries: Vainshtein mechanism in time-dependent systems journal December 2018
Towards the nonlinear regime in extensions to GR: assessing possible options journal April 2019
Constraints on Galileon-induced precessions from solar system orbital motions journal July 2012
Nonlinear structure formation in the cubic Galileon gravity model journal October 2013
Higher-derivative operators and effective field theory for general scalar-tensor theories journal February 2018
Non-canonical kinetic structures in the swampland journal September 2020
The well-posedness of the Cauchy problem for self-interacting vector fields journal November 2022
Nonlinear, noniterative treatment of EFT-motivated gravity journal October 2020
Kinetic screening in nonlinear stellar oscillations and gravitational collapse journal August 2021
UV completions, fixing the equations, and nonlinearities in k -essence journal March 2022
Well-posed UV completion for simulating scalar Galileons journal August 2022
Fixing the dynamical evolution in scalar-Gauss-Bonnet gravity journal September 2022
Two-body problem in theories with kinetic screening journal September 2023
Spherical collapse in scalar-Gauss-Bonnet gravity: Taming ill-posedness with a Ricci coupling journal February 2024
Nonperturbative continuity in graviton mass versus perturbative discontinuity journal January 2002
The accelerated universe and the Moon journal July 2003
Differentiating between modified gravity and dark energy journal February 2004
Galileon as a local modification of gravity journal March 2009
Equilateral non-Gaussianity from multifield dynamics journal February 2010
Generalization of the Fierz-Pauli action journal August 2010
Recovery of general relativity in massive gravity via the Vainshtein mechanism journal November 2010
Retarded Green’s function of a Vainshtein system and Galileon waves journal January 2013
Vainshtein mechanism in binary pulsars journal February 2013
Galileon radiation from binary systems journal March 2013
Nonlinear dynamical stability of infrared modifications of gravity journal December 2014
Positive energy theorem for P ( X ,   ϕ ) theories journal March 2015
Fixing extensions to general relativity in the nonlinear regime journal October 2017
Recovering General Relativity from Massive Gravity journal November 2009
Resummation of Massive Gravity journal June 2011
Preheating with Nonminimal Kinetic Terms journal July 2013
Self-Consistent Modeling of Gravitational Theories beyond General Relativity journal September 2023
Anti-screening of the Galileon force around a disk center hole journal January 2019
Numerical relativity for Horndeski gravity journal September 2022
Massive Gravity journal August 2014

Similar Records

Simulating the quartic Galileon gravity model on adaptively refined meshes
Journal Article · 2013 · Journal of Cosmology and Astroparticle Physics · OSTI ID:22369938

New nonrenormalization theorem from UV/IR mixing
Journal Article · 2024 · Physical Review. D. · OSTI ID:2483626

UV massive resonance from IR double copy consistency
Journal Article · 2024 · Physical Review. D. · OSTI ID:2320324