On the stability and causality of scalar-vector theories

Abstract

Various extensions of standard inflationary models have been proposed recently by adding vector fields. Because they are generally motivated by large-scale anomalies, and the possibility of statistical anisotropy of primordial fluctuations, such models require to introduce non-standard couplings between vector fields on the one hand, and either gravity or scalar fields on the other hand. In this article, we study models involving a vector field coupled to a scalar field. We derive restrictive necessary conditions for these models to be both stable (Hamiltonian bounded by below) and causal (hyperbolic equations of motion).

arXiv comment20 pages, references added, v2 matches published version in JCAP

References in corpus (76)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• The galileon as a local modification of gravity
• Essentials of k-essence
• The fundamental constants and their variation: observational status and theoretical motivations
• Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
• Varying constants, Gravitation and Cosmology
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• k-Essence, superluminal propagation, causality and emergent geometry
• Inflationary Universe with Anisotropic Hair
• Generalization of the Proca Action
• Gauge Fields and Inflation
• EGMF Constraints from Simultaneous GeV-TeV Observations of Blazars
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Vector Inflation
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Parity violation in the Cosmic Microwave Background from a pseudoscalar inflaton
• N-flationary magnetic fields
• Cosmic Acceleration from Abelian Symmetry Breaking
• Estimators for CMB Statistical Anisotropy
• Instability of anisotropic cosmological solutions supported by vector fields
• Non-Abelian Gauge Field Inflation
• A review of Axion Inflation in the era of Planck
• Arbitrary p-form Galileons
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Dynamics of $k$-essence
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Statistical Anisotropy from Anisotropic Inflation
• Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature
• The acceleration of the universe and the physics behind it
• Perturbations in Chromo-Natural Inflation
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Fermi/LAT observations of 1ES 0229+200: implications for extragalactic magnetic fields and background light
• Primordial statistical anisotropy generated at the end of inflation
• Can a vector field be responsible for the curvature perturbation in the Universe?
• Adding helicity to inflationary magnetogenesis
• Instability of the ACW model, and problems with massive vectors during inflation
• Bayesian analysis of sparse anisotropic universe models and application to the 5-yr WMAP data
• Primordial Power Spectra from Anisotropic Inflation
• Limits on anisotropic inflation from the Planck data
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Vector theories in cosmology
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• Asymmetric Beams and CMB Statistical Anisotropy
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Bayesian analysis of an anisotropic universe model: systematics and polarization
• Vector Curvaton with varying Kinetic Function
• Vector Curvaton without Instabilities
• Parity violation in the CMB bispectrum by a rolling pseudoscalar
• Stability of Horndeski vector-tensor interactions
• A no-go theorem for generalized vector Galileons on flat spacetime
• Higher order statistics of curvature perturbations in IFF model and its Planck constraints
• Gauge-flation confronted with Planck
• δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
• Observational signatures of anisotropic inflationary models
• Gauge-flation and Cosmic No-Hair Conjecture
• Non-gaussianity from the trispectrum and vector field perturbations
• Chiral Gravity Waves and Leptogenesis in Inflationary Models with non-Abelian Gauge Fields
• Non-gaussianity at tree and one-loop levels from vector field perturbations
• Constraining anisotropic models of the early Universe with WMAP9 data
• Cosmologies in Horndeski's second-order vector-tensor theory
• Anisotropic Trispectrum of Curvature Perturbations Induced by Primordial Non-Abelian Vector Fields
• Parity Violating Statistical Anisotropy
• Anisotropic bispectrum of curvature perturbations from primordial non-Abelian vector fields
• The statistically anisotropic curvature perturbation generated by f(ϕ)^2 F^2
• From configuration to dynamics -- Emergence of Lorentz signature in classical field theory
• Stability analysis of inflation with an SU(2) gauge field
• Galileons with Gauge Symmetries
• Statistical Anisotropy and the Vector Curvaton Paradigm
• Curvature Perturbations from a Massive Vector Curvaton
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Feynman-like Rules for Calculating n-Point Correlators of the Primordial Curvature Perturbation
• Pseudoscalar N-flation and axial coupling revisited
• Emergent Lorentz Signature, Fermions, and the Standard Model
• On hyperbolicity violations in cosmological models with vector fields

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