Higgs inflation and teleparallel gravity

Abstract

Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio $r$. Our results also apply to $f(T)$ theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.

15+12 pages, no figures. v2. Fixed two typos, added and removed a reference

References in corpus (161)

• f(R) Theories Of Gravity
• The Standard Model Higgs boson as the inflaton
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• f(T) teleparallel gravity and cosmology
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Coincident General Relativity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Superconformal Inflationary $\alpha$-Attractors
• Higgs inflation: consistency and generalisations
• On Born-Infeld Gravity in Weitzenbock spacetime
• Dynamical systems applied to cosmology: dark energy and modified gravity
• On the Naturalness of Higgs Inflation
• Minimal Supergravity Models of Inflation
• Cosmological perturbations in f(T) gravity
• The Unity of Cosmological Attractors
• Power-counting and the Validity of the Classical Approximation During Inflation
• The covariant formulation of f(T) gravity
• Modified teleparallel theories of gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• "Teleparallel" Dark Energy
• Comment on Higgs Inflation and Naturalness
• Metric-affine f(R) theories of gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• On Inflation with Non-minimal Coupling
• Primordial Spectral Indices from Generalized Einstein Theories
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Scalaron from $R^2$-gravity as a Heavy Field
• Teleparallel Palatini theories
• Palatini form of 1/R gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• Degrees of freedom of $f(T)$ gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Metric-affine approach to teleparallel gravity
• Higher order gravity theories and scalar tensor theories
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Higgs inflation
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• On the covariance of teleparallel gravity theories
• Higgs-Palatini Inflation and Unitarity
• Conformal transformation in $f(T)$ theories
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• The Higgs field as an inflaton
• Lagrange formulation of the symmetric teleparallel gravity
• Observational Constraints on Teleparallel Dark Energy
• Higgs Inflation and Naturalness
• Higgs Scalaron Mixed Inflation
• Cosmological applications of $F(T,T_G)$ gravity
• Covariant formulation of scalar-torsion gravity
• Classical and Quantum Initial Conditions for Higgs Inflation
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Higgs inflation with loop corrections in the Palatini formulation
• Cosmological perturbations in modified teleparallel gravity models
• Dynamics of Teleparallel Dark Energy
• Symmetric Teleparallel Gravity: Some exact solutions and spinor couplings
• New classes of modified teleparallel gravity models
• Modified teleparallel theories of gravity in symmetric spacetimes
• Cosmological Perturbation in f(T) Gravity Revisited
• Scaling attractors in interacting teleparallel dark energy
• Inflation with $R^2$ term in the Palatini formalism
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• Preheating in Palatini Higgs inflation
• Inflation in the Mixed Higgs-$R^2$ Model
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• The spectrum of symmetric teleparallel gravity
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• A Unitarity-Conserving Higgs Inflation Model
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Higgs Starobinsky Inflation
• Hamiltonian formalism for f(T) gravity
• Planck scale black hole dark matter from Higgs inflation
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Growth of matter perturbations in non-minimal teleparallel dark energy
• Mapping Ricci-based theories of gravity into general relativity
• Dynamical features of scalar-torsion theories
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Cosmological dynamics of tachyonic teleparallel dark energy
• Palatini versus metric formulation in higher curvature gravity
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Primordial Fluctuations within Teleparallelism
• Self-healing of unitarity in Higgs inflation
• Conformal transformations in modified teleparallel theories of gravity revisited
• Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
• Higgs inflation at the hilltop
• Teleparallel quintessence with a nonminimal coupling to a boundary term
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Starobinsky-like two-field inflation
• A Built-in Inflation in the $f(T)$-Cosmology
• Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
• Inflationary cosmology in unimodular $F(T)$ gravity
• Teleparallel theories of gravity as analogue of non-linear electrodynamics
• Primordial perturbations generated by Higgs field and $R^2$ operator
• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
• Energy conditions in generalized teleparallel gravity models
• Late and early time phenomenology of Higgs-dependent cutoff
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• A correspondence between modified gravity and General Relativity with scalar fields
• Gravitational waves in modified teleparallel theories of gravity
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Torsion/non-metricity duality in f(R) gravity
• Quest for the extra degree of freedom in f(T) gravity
• Palatini frames in scalar-tensor theories of gravity
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
• Effective gravitational coupling in modified teleparallel theories
• Warm Intermediate Inflation in $F(T)$ Gravity
• Gravitational Interaction of Higgs Boson and Weak Boson Scattering
• Tachyonic Teleparallel Dark Energy
• General relativity as an attractor for scalar-torsion cosmology
• Reconstruction of $f(T)$-gravity in the absence of matter
• Unitarity-violation in Generalized Higgs Inflation Models
• Remnant Symmetry, Propagation and Evolution in f(T) Gravity
• Dynamical Emergence of Scalaron in Higgs Inflation
• Planck mass and inflation as consequences of dynamically broken scale invariance
• Initial Conditions for Critical Higgs Inflation
• On the gauge fixing in the Hamiltonian analysis of general teleparallel theories
• Two-loop corrections to Starobinsky-Higgs inflation
• Singularity Problem in Teleparallel Dark Energy Models
• Electroweak relaxation of cosmological hierarchy
• Teleparallel Dark Energy with Purely Non-minimal Coupling to Gravity
• Notes on teleparallel cosmology with nonminimally coupled scalar field
• Acausality and Nonunique Evolution in Generalized Teleparallel Gravity
• A novel teleparallel dark energy model
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
• Power-law and intermediate inflationary models in f(T)-gravity
• From the early to the late time universe within $f(T,\mathcal{T})$ gravity
• Noether Identities and Gauge-Fixing the Action for Cosmological Perturbations
• Logamediate Inflation in f(T) Teleparallel Gravity
• Density Perturbation Growth in Teleparallel Cosmology
• Tachyon Inflation in Teleparallel Gravity
• Unitarity and predictiveness in new Higgs inflation
• Post-Newtonian Approximation of Teleparallel Gravity Coupled with a Scalar Field
• Slow-roll inflation in generalized scalar-torsion gravity
• Variational and conformal structure of nonlinear metric-connection gravitational lagrangians
• Uniqueness of the gauge invariant action for cosmological perturbations
• Parametrized Post-Newtonian Limit of Teleparallel Dark Energy Model
• Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
• Conservation laws in the teleparallel theory of gravity
• Symmetron and de Sitter attractor in a teleparallel model of cosmology
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Generalized Tachyonic Teleparallel cosmology
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Reheating in a modified teleparallel model of inflation
• Perfect fluid and F(T) gravity descriptions of inflationary universe and comparison with obervational data
• Dirac field as a source of the inflation in 2+1 dimensional Teleparallel gravity
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Birkhoff's Theorem in f(T) Gravity up to the Perturbative Order
• Universality of the Einstein theory of gravitation
• Braneworld setup and embedding in teleparallel gravity
• Non-minimally Coupled Tachyon Field in Teleparallel Gravity
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Large-scale magnetic fields from inflation in teleparallel gravity
• Conservation laws in the teleparallel theory with a positive cosmological constant

Cited by in corpus (28)

• Teleparallel Gravity: From Theory to Cosmology
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Higgs inflation with the Holst and the Nieh-Yan term
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Matter matters in Einstein-Cartan gravity
• Critical point Higgs inflation in the Palatini formulation
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Field redefinitions, perturbative unitarity and Higgs inflation
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• Preheating in Palatini Higgs inflation on the lattice
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Nonmetricity theories and aspects of gauge symmetry
• Dynamics in interacting scalar-torsion theory
• Inflation with F(T) Teleparallel Gravity
• Disformal transformations in modified teleparallel gravity
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Einstein-Proca theory from the Einstein-Cartan formulation
• Scale-invariant cosmology in de Sitter gauge theory
• Higgs inflation model with non-minimal coupling in hybrid Palatini approach
• Non-minimal Higgs inflation within holographic cosmology
• End of the constant-roll inflation, and the reheating temperature
• Torsion and the Probability of Inflation
• The scalar-torsion gravity corrections in the first-order inflationary models
• Global portraits of nonminimal teleparallel inflation
• Production of Primordial Gravitational Waves in Teleparallel Gravity
• Higgs-Dilaton Inflation in Einstein-Cartan gravity
• Lost in translation: the Abelian affine connection (in the coincident gauge)