Local Conformal Symmetry in Physics and Cosmology
arXiv:1307.1848 · doi:10.1103/PhysRevD.89.043515
Abstract
We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a conformally invariant formulation of particle physics and gravity include the possibility of constructing geodesically complete cosmologies. We present a conformal-invariant version of the standard model coupled to gravity, and show how Weyl symmetry may be used to obtain unprecedented analytic control over its cosmological solutions. Within this new framework, generic FRW cosmologies are geodesically complete through a series of big crunch - big bang transitions. We discuss a new scenario of cosmic evolution driven by the Higgs field in a \textquotedblleft minimal\textquotedblright% \ conformal standard model, in which there is no new physics beyond the standard model at low energies, and the current Higgs vacuum is metastable as indicated by the latest LHC data.
34 pages, 1 figure, v2 improves the presentation
References in corpus (29)
- The Standard Model Higgs boson as the inflaton
- Light scalar at LHC: the Higgs or the dilaton?
- Conformal Symmetry and the Standard Model
- Inflationary paradigm in trouble after Planck2013
- Superconformal generalizations of the Starobinsky model
- Superconformal Symmetry, NMSSM, and Inflation
- A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
- Novel Effects in Electroweak Breaking from a Hidden Sector
- Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance
- Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences
- Superconformal Generalization of the Chaotic Inflation Model λϕ^4/4 - ξ/ 2 ϕ^2 R
- Neutrino mass in radiatively-broken scale-invariant models
- The Standard Model of Particles and Forces in the Framework of 2T-physics
- Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
- Is there a new physics between electroweak and Planck scales?
- Gravity in 2T-Physics
- Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
- Geometry and Symmetry Structures in 2T Gravity
- The Big Bang and Inflation United by an Analytic Solution
- Broken Scale Invariance in the Standard Model
- Field Theory in 2T-physics with N=1 Supersymmetry
- Dual Field Theories In (d-1)+1 Emergent Spacetimes From A Unifying Field Theory In d+2 Spacetime
- Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory
- Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
- Supersymmetric Field Theory in 2T-physics
- Standard Model and SU(5) GUT with Local Scale Invariance and the Weylon
- Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity
- N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
- The Standard Model as a 2T-physics Theory
Cited by in corpus (136)
- Bouncing Cosmologies: Progress and Problems
- Inflation and Dark Matter in the Higgs Portal of Classically Scale Invariant Standard Model
- Black Holes in Bi-scalar Extensions of Horndeski Theories
- Invariant quantities in the scalar-tensor theories of gravitation
- Selected topics in scalar-tensor theories and beyond
- Extended Gauss-Bonnet gravities in Weyl geometry
- Spacetime completeness of non-singular black holes in conformal gravity
- Poincare Protection for a Natural Electroweak Scale
- Perfect Quantum Cosmological Bounce
- Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
- Scale transformations in metric-affine geometry
- Weyl gauge symmetry and its spontaneous breaking in Standard Model and inflation
- Gauging scale symmetry and inflation: Weyl versus Palatini gravity
- Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
- Standard Model in Weyl conformal geometry
- Stueckelberg breaking of Weyl conformal geometry with applications to gravity
- Inflation and reheating in theories with spontaneous scale invariance symmetry breaking
- Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
- Sailing through the big crunch-big bang transition
- A Radiative Model for the Weak Scale and Neutrino Mass via Dark Matter
- Black hole evaporation in conformal gravity
- Scalar perturbations of nonsingular nonrotating black holes in conformal gravity
- Two-loop scale-invariant scalar potential and quantum effective operators
- Energy conditions of non-singular black hole spacetimes in conformal gravity
- The Big Bang, CPT, and neutrino dark matter
- A link that matters: Towards phenomenological tests of unimodular asymptotic safety
- Non-metric geometry as the origin of mass in gauge theories of scale invariance
- Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
- Frame (In)equivalence in Quantum Field Theory and Cosmology
- Charged particle motion around non-singular black holes in conformal gravity in the presence of external magnetic field
- Standard Model with spontaneously broken quantum scale invariance
- Inflation, Symmetry, and B-Modes
- What ? Cosmological constraints on the non-minimal coupling constant
- Journeys Through Antigravity?
- Scale and Weyl Invariance in Einstein-Cartan Gravity
- Minimal -inflation in light of the conformal metric-affine geometry
- Weyl gauge-vector and complex dilaton scalar for conformal symmetry and its breaking
- Formation and evaporation of an electrically charged black hole in conformal gravity
- Local conformal symmetry in non-Riemannian geometry and the origin of physical scales
- Quantum propagation across cosmological singularities
- Nonmetricity theories and aspects of gauge symmetry
- Thermodynamics of nonsingular bouncing universes
- Ultraviolet-complete quantum field theories with fractional operators
- Weyl Scaling Invariant Gravity for Inflation and Dark Matter
- Weyl Symmetry Inspired Inflation and Dark Matter
- Generating scale-invariant tensor perturbations in the non-inflationary universe
- Conformal inflation from the Higgs
- Bianchi-I cosmological model and crossing singularities
- Inflationary cosmology from quantum Conformal Gravity
- Physical Interpretation of Antigravity
- Tensor perturbations in a general class of Palatini theories
- Dimensional regularization, Wilsonian RG, and the Naturalness/Hierarchy problem
- Comments on the Hierarchy Problem in Effective Theories
- Geometry of Killing spinors in neutral signature
- Quantum implications of a scale invariant regularisation
- Exact conformal field theories from mutually T-dualizable -models
- Black hole solutions correspondence between conformal and massive theories of gravity
- Special Geometry and Space-time Signature
- Inflation in gauge theory of gravity with local scaling symmetry and quantum induced symmetry breaking
- Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
- Curing black hole singularities with local scale invariance
- Testing scale-invariant inflation against cosmological data
- Dynamical String Tension in String Theory with Spacetime Weyl Invariance
- Closing the gaps in quantum space and time: Conformally augmented gauge structure of gravitation
- Physical Tuning and Naturalness
- Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
- The fine tuning of the cosmological constant in a conformal model
- Matter Accretion onto a Conformal Gravity Black Hole
- Consistent Conformal Extensions of the Standard Model
- Conformal -attractor Inflation with Weyl Gauge Field
- Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
- Higgs and gravitational scalar fields together induce Weyl gauge
- Scale Factor Duality for Conformal Cyclic Cosmologies
- Early universe in quantum gravity
- Gravitational lensing by a stable rotating regular black hole
- Dark Matter Production in Weyl Inflation
- Duality Between Hydrogen Atom and Oscillator Systems via Hidden SO(d,2) Symmetry and 2T-physics
- Gauging the spacetime metric -- looking back and forth a century later
- Inflation in Weyl Scaling Invariant Gravity with Extensions
- Quantization of time and the big bang via scale-invariant loop gravity
- Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
- Inflationary behavior of gravity in a conformal framework
- Gravitational Waves from Preheating in Inflation with Weyl Symmetry
- Classical and Quantum Nonlocal Supergravity
- Tolman-Ehrenfest-Klein Law in non-Riemannian geometries
- Conformal loop quantum gravity coupled to the Standard Model
- General and conformal inflation from minimal supergravity plus matter
- Cosmological Solutions from a Multi-Measure Model with Inflaton Field
- Dark side of Weyl gravity
- Cosmological Perturbations in Antigravity
- An issue with the classification of the scalar-tensor theories of gravity
- Asymptotically Weyl-Invariant Gravity
- Dark matter and Standard Model reheating from conformal GUT inflation
- Wavefunction for the Universe Circa the Beginning with Dynamically Determined Unique Initial Conditions
- Dilaton from Tractor and Matter Field from Twistor
- A new generic and structurally stable cosmological model without singularity
- New Evidence of the Azimuthal Alignment of Quasars Spin vector in the LQG U1.28, U1.27, U1.11, Cosmologically Explained
- Looking for Carroll particles in two time spacetime
- The unexpected resurgence of Weyl geometry in late 20-th century physics
- Extended Rindler Spacetime and a New Multiverse Structure
- Cosmologies with turning points
- Frozen up Dilaton and the GUT/Planck Mass Ratio
- Electroweak phase transition via Dilaton in Two-Time Physics
- On the dynamical 4D BTZ black hole solution in conformally invariant gravity
- Testing quantum gravity with primordial gravitational waves
- Fifth forces and frame invariance
- Conformal Cores of Quantum Black Holes in Quadratic Gravity
- Non-minimal scalar-tensor theories
- A Conformally Invariant Theory of Gravitation in Metric Measure Space
- On the thermodynamics of scale factor dual Universes
- Relating the cosmological constant and slow roll to conformal symmetry breaking
- From DeWitt initial condition to Cosmological Quantum Entanglement
- A bound system in the expanding universe with modified holographic Ricci dark energy and dark matter
- Conformal Higgs Gravity
- On Conformal Transformation with Multiple Scalar Fields and Geometric Property of Field Space with Einstein-like Solutions
- Robust translational invariance in topological bands against lattice potentials and disorders
- Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
- Inflation in light of ACT/SPT: A new perspective from Weyl gravity
- Generalized Brans-Dicke theory from Verlinde's entropic gravity
- Constraint on the Higgs-Dilaton potential via Warm inflation in Two-Time Physics
- Local Scale Invariant Kaluza-Klein Reduction
- Metric Measure Space as a Framework for Gravitation
- Cosmic Strings in Conformal Gravity
- Some Cosmological Consequences of Weyl Invariance
- Ricci linear Weyl/Maxwell mutual sourcing
- On the BTZ Black Hole and the Spinning Cosmic String
- Revisiting local-scale invariant gravitational theory
- Torsion-Induced Modification to Friedmann Equations in Gauged Gravity
- Basics of the pressuron
- Non-singular Bounce from a Phase transition
- Spontaneous Scalarization in Scalar-Tensor Theories with Conformal Symmetry as an Attractor
- Hawking radiation from nonrotating singularity-free black holes in conformal gravity
- Spontaneous symmetry breaking in 5D conformally invariant gravity
- Mini-Superspace Universality and No-Scale Quantum Cosmology
- Sphaleron and gravitational wave with the Higgs-Dilaton potential in the Standard Model Two-Time Physics
- Disentangling the Cosmic/Comoving Duality: The Cognitive Stability and Typicality Tests