Treatments and placebos for the pathologies of effective field theories

Abstract

We demonstrate some shortcomings of "fixing the equations," an increasingly popular remedy for time evolution problems of effective field theories (EFTs). We compare the EFTs and their "fixed" versions to the UV theories from which they can be derived in two cases: K-essence and nonlinear Proca theory. We find that when an EFT breaks down due to loss of hyperbolicity, fixing does not approximate the UV theory well if the UV solution does not quickly settle down to vacuum. We argue that this can be related to the EFT approximation itself becoming invalid, which cannot be rectified by fixing.

arXiv comment5+4 pages. Version published as a PRD letter

References in corpus (38)

• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Generalization of the Proca Action
• Observing light-by-light scattering at the Large Hadron Collider
• Cosmology in generalized Proca theories
• Generalized Proca action for an Abelian vector field
• The imitation game: Proca stars that can mimic the Schwarzschild shadow
• Beyond generalized Proca theories
• Vector theories in cosmology
• Extended vector-tensor theories
• Spontaneous growth of vector fields in gravity
• Black holes in vector-tensor theories
• Nonlinear interactions between black holes and Proca fields
• Screening fifth forces in generalized Proca theories
• Fixing extensions to General Relativity in the non-linear regime
• Aspects of Nonlinear Effect on Black Hole Superradiance
• Relativistic stars in vector-tensor theories
• The problem with Proca: ghost instabilities in self-interacting vector fields
• Nonlinear/non-iterative treatment of EFT-motivated gravity
• Electromagnetism and hidden vector fields in modified gravity theories: spontaneous and induced vectorization
• Vector boson star solutions with a quartic order self-interaction
• Towards the nonlinear regime in extensions to GR: assessing possible options
• No evidence of kinetic screening in simulations of merging binary neutron stars beyond general relativity
• Kinetic screening in nonlinear stellar oscillations and gravitational collapse
• Spontaneous tensorization from curvature coupling and beyond
• Can black hole superradiance be induced by galactic plasmas?
• A singularity problem for interacting massive vectors
• Fixing the dynamical evolution in scalar-Gauss-Bonnet gravity
• Recovering P(X) from a canonical complex field
• UV completions, fixing the equations and nonlinearities in $k$-essence
• Spontaneously vectorized Einstein-Gauss-Bonnet black holes
• K-dynamics: well-posed 1+1 evolutions in K-essence
• Instability of vectorized stars
• Coordinate singularities of self-interacting vector field theories
• Proca Q Balls and their Coupling to Gravity
• Pervasiveness of the breakdown of self-interacting vector field theories
• Effective field theory and classical equations of motion
• Proca Q Tubes and their Coupling to Gravity
• Loss of hyperbolicity and tachyons in generalized Proca theories

Cited by in corpus (6)

• The Science of the Einstein Telescope
• Fixing the dynamical evolution of self-interacting vector fields
• Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
• Aspects of time evolution in $p$-form field theories
• Internal symmetry to the rescue: well-posed 1+1 evolution of self-interacting vector fields
• Nontopological Electromagnetic Hedgehogs