Categorizing Different Approaches to the Cosmological Constant Problem

Abstract

We have found that proposals addressing the old cosmological constant problem come in various categories. The aim of this paper is to identify as many different, credible mechanisms as possible and to provide them with a code for future reference. We find that they all can be classified into five different schemes of which we indicate the advantages and drawbacks. Besides, we add a new approach based on a symmetry principle mapping real to imaginary spacetime.

updated version, accepted for publication

References in corpus (143)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmological Constant and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• de Sitter Vacua in String Theory
• 4D Gravity on a Brane in 5D Minkowski Space
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• The Cosmological Constant
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• A Model of Holographic Dark Energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Entropy Bounds and Dark Energy
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Supernova Limits on the Cosmic Equation of State
• Strong Interactions and Stability in the DGP Model
• The statistics of string/M theory vacua
• Distributions of flux vacua
• Ghost Inflation
• From the Big Bang Theory to the Theory of a Stationary Universe
• The Confrontation between General Relativity and Experiment
• Gravity on a Brane in Infinite-Volume Extra Space
• Classical and Quantum Consistency of the DGP Model
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Metastable Gravitons and Infinite Volume Extra Dimensions
• Predictions from Quantum Cosmology
• Opening up extra dimensions at ultra-large scales
• Counting Flux Vacua
• Superfluid analogies of cosmological phenomena
• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• On the Back Reaction Problem for Gravitational Perturbations
• The Energy-Momentum Tensor for Cosmological Perturbations
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Gravity Slows Inflation
• The scaling evolution of cosmological constant
• Cross-Correlation of the Cosmic Microwave Background with the 2MASS Galaxy Survey: Signatures of Dark Energy, Hot Gas, and Point Sources
• Likely Values of the Cosmological Constant
• The Accelerated Universe and the Moon
• Diluting Cosmological Constant In Infinite Volume Extra Dimensions
• RG-Flow, Gravity and the Cosmological Constant
• Can the Acceleration of Our Universe Be Explained by the Effects of Inhomogeneities?
• Tests of the Accelerating Universe with Near-Infrared Observations of a High-Redshift Type Ia Supernova
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Effective equation of state for dark energy: mimicking quintessence and phantom energy through a variable Lambda
• Back Reaction And Local Cosmological Expansion Rate
• Non-Local Modification of Gravity and the Cosmological Constant Problem
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Improved Estimates of Cosmological Perturbations
• The influence of cosmological transitions on the evolution of density perturbations
• Is There A String Theory Landscape
• Quantum Gravity at Astrophysical Distances?
• Bound on Lorentz- and CPT-Violating Boost Effects for the Neutron
• Dark Energy: the Cosmological Challenge of the Millennium
• On likely values of the cosmological constant
• Quasi-Localization of Gravity by Resonant Modes
• Compactification for a Three-Brane Universe
• Ghosts, Strong Coupling and Accidental Symmetries in Massive Gravity
• Solutions to the cosmological constant problems
• Testing the running of the cosmological constant with Type Ia Supernovae at high z
• Testing Alternative Theories of Gravity using LISA
• Stationarity of Inflation and Predictions of Quantum Cosmology
• Results from the High-Z Supernova Search Team
• Renormalization-group running cosmologies - a scale-setting procedure
• Scale-Invariant Gravity: Particle Dynamics
• Is Supersymmetry Really Broken?
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background
• A Dynamical Approach to the Cosmological Constant
• Do We Live in the Center of the World?
• Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant
• A Framework for the Landscape
• Fat Gravitons, the Cosmological Constant and Sub-millimeter Tests
• Non-Perturbative Models For The Quantum Gravitational Back-Reaction On Inflation
• M-theory, Cosmological Constant and Anthropic Principle
• Vacuum polarization and photon mass in inflation
• Density Perturbations and the Cosmological Constant from Inflationary Landscapes
• Making Sense Of The New Cosmology
• Attractive and Repulsive Gravity
• Three-Dimensional Supergravity and the Cosmological Constant
• No Cosmological D=11 Supergravity
• Unbounded entropy in spacetimes with positive cosmological constant
• Towards a Natural Theory of Dark Energy: Supersymmetric Large Extra Dimensions
• Strong coupling in brane-induced gravity in five dimensions
• The Cold Big-Bang Cosmology as a Counter-example to Several Anthropic Arguments
• Quintessential Adjustment of the Cosmological Constant
• Dark energy equation of state and anthropic selection
• Spontaneous Breaking of Lorentz Invariance
• Gravity as elasticity of spacetime: a paradigm to understand horizon thermodynamics and cosmological constant
• On Regularization Scheme Dependence of Predictions in Inflationary Cosmology
• World Nematic Crystal Model of Gravity Explaining the Absence of Torsion
• Relaxation of the cosmological constant at inflation?
• Back Reaction of Cosmological Perturbations and the Cosmological Constant Problem
• Strong Coupling vs. 4-D Locality in Induced Gravity
• Thermal Decay of the Cosmological Constant into Black Holes
• Back-Reaction Is For Real
• Holes in the ghost condensate
• Fractal Geometry of Quantum Spacetime at Large Scales
• Anthropic Distribution for Cosmological Constant and Primordial Density Perturbations
• Evolution of Cosmological Perturbations in the Long Wavelength Limit
• Conformal fixed point, Cosmological Constant and Quintessence
• String theory as a universal language
• Cosmic acceleration as the solution to the cosmological constant problem
• Local and global gravity
• A symmetry for vanishing cosmological constant in an extra dimensional toy model
• AdS_5 and the 4D Cosmological Constant
• New Astrophysical Constraints on the Mass of the Superlight Gravitino
• Short distance non-perturbative effects of large distance modified gravity
• Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants
• Star tracks in the ghost condensate
• Lorentz and CPT Tests in Matter and Antimatter
• Bogomol'nyi Bounds and Killing Spinors in d=3 Supergravity
• Cosmological constant and vacuum energy
• Vacuum energy: quantum hydrodynamics vs quantum gravity
• Anthropic predictions for vacuum energy and neutrino masses
• Asymptotically finite models and the screening of the cosmological constant by quantum effects
• Hodge Duality and Cosmological Constant
• Micrometer Gravitinos and the Cosmological Constant
• Looking At The Cosmological Constant From Infinite--Volume Bulk
• On RG-flow and the Cosmological Constant
• Testing braneworlds with the binary pulsar
• Dark Energy and the Nature of the Graviton
• Realistic cosmological model with dynamical cancellation of vacuum energy
• Back-Reaction: A Cosmological Panacea
• Vanishing of cosmological constant and fully localized gravity in a Brane World with extra time(s)
• On making predictions in a multiverse: conundrums, dangers, and coincidences
• Semi-local Cosmic Strings and the Cosmological Constant Problem
• The Farthest Known Supernova: Support for an Accelerating Universe and a Glimpse of the Epoch of Deceleration
• The Cosmological Constant Problem and Nonlocal Quantum Gravity
• Gravity in the dynamical approach to the cosmological constant
• Stability of a cosmological model with dynamical cancellation of vacuum energy
• Back-Reaction of Cosmological Perturbations in the Infinite Wavelength Approximation
• The Graviton and the Nature of Dark Energy
• Scale invariant gravity and the quasi-static universe
• What does Quantum Field Theory in Curved Spacetime Have to Say about the Dark Energy?
• Higgs Mechanism and the Structure of the Energy-Momentum Tensor in Einstein Gravity and Conformal Gravity
• Vacuum energy and cosmological constant: View from condensed matter
• Post-Inflationary Dynamics
• On Dynamical Adjustment Mechanisms for the Cosmological Constant

Cited by in corpus (117)

• Covariant Generalized Holographic Dark Energy and Accelerating Universe
• Robust Preference for Dynamical Dark Energy in DESI BAO and SN Measurements
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Agegraphic dark energy as a quintessence
• Self-tuning vacuum variable and cosmological constant
• Age Problem in the Holographic Dark Energy Model
• FRW Bulk Viscous Cosmology with Modified Chaplygin Gas in Flat Space
• Multiple inflation and the WMAP 'glitches' II. Data analysis and cosmological parameter extraction
• Reconstruction of Hessence Dark Energy and the Latest Type Ia Supernovae Gold Dataset
• Higher order corrections of the extended Chaplygin gas cosmology with varying $G$ and $\Lambda$
• Realistic cosmological scenario with non-minimal kinetic coupling
• How unimodular gravity theories differ from general relativity at quantum level
• Growth Index of DGP Model and Current Growth Rate Data
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Interacting Quintessence Models of Dark Energy
• Self-Organised Localisation
• CosMIn: The Solution to the Cosmological Constant Problem
• Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
• A Class of Effective Field Theory Models of Cosmic Acceleration
• Large-Scale Structure Formation with Massive Neutrinos and Dynamical Dark Energy
• Cosmology with nonminimal kinetic coupling and a power-law potential
• Interacting Energy Components and Observational $H(z)$ Data
• On the Minimal Length Uncertainty Relation and the Foundations of String Theory
• Is the evidence for dark energy secure?
• New agegraphic dark energy as a rolling tachyon
• The Well-Tempered Cosmological Constant
• The growth of linear perturbations in the DGP model
• Constraints on Kinematic Model from Recent Cosmic Observations: SN Ia, BAO and Observational Hubble Data
• Emergent physics: Fermi point scenario
• On the implementation of the spherical collapse model for dark energy models
• Higher derivative corrections of $f(R)$ gravity with varying equation of state in the case of variable $G$ and $\Lambda$
• Vacuum Energy: Myths and Reality
• Confronting the relaxation mechanism for a large cosmological constant with observations
• Viscous Fluid Holographic Bounce
• Cosmological Constant Problems and Renormalization Group
• Cosmic Acceleration From Matter-Curvature Coupling
• The growth factor of matter perturbations in an f(R) gravity
• Redshift-space distortions in massive neutrino and evolving dark energy cosmologies
• Clustering of Galaxies with Dynamical Dark Energy
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Proof that Casimir force does not originate from vacuum energy
• Interacting Holographic Extended Chaplygin Gas and Phantom Cosmology in the Light of BICEP2
• Cosmological Constant, Fine Structure Constant and Beyond
• Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
• Vacuum Energy as the Origin of the Gravitational Constant
• Hawking-Moss instanton in nonlinear massive gravity
• Planck-PR4 anisotropy spectra show (better) consistency with General Relativity
• Brane Induced Gravity, its Ghost and the Cosmological Constant Problem
• Geometrical Origin of the Cosmological Constant
• A model for the very early Universe
• Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
• Stress-Energy Connection and Cosmological Constant Problem
• Age Problem in Lemaitre-Tolman-Bondi Void Models
• Fractional Scalar Field Cosmology
• Vacuum energy and spectral function sum rules
• Scrutinizing the Cosmological Constant Problem and a possible resolution
• Notes on "quantum gravity" and non-commutative geometry
• Brane realization of q-theory and the cosmological constant problem
• Pseudo-redundant vacuum energy
• Effect of the Trace Anomaly on the Cosmological Constant
• Chameleon Field Dynamics During Inflation
• Coleman-de Luccia instanton in dRGT massive gravity
• The graviton one-loop effective action in cosmological space-times with constant deceleration
• The Well-Tempered Cosmological Constant: The Horndeski Variations
• Conformal symmetry and the cosmological constant problem
• Modified holographic Ricci dark energy coupled to interacting relativistic and non-relativistic dark matter in the nonflat universe
• The Well-Tempered Cosmological Constant: Fugue in B${}^{♭}$
• Quantum Yang--Mills Dark Energy
• Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model
• Time evolution of T_{μν} and the cosmological constant problem
• Observational Constraints on Varying Alpha in $\Lambda (\alpha )$CDM Cosmology
• Conceptual Challenges on the Road to the Multiverse
• On the Physics of the Minimal Length: The Question of Gauge Invariance
• Homogeneous Instantons in Bigravity
• The cosmological constant filter without big bang singularity
• A Way to Dynamically Overcome the Cosmological Constant Problem
• Relaxing the cosmological constant in the extreme ultra-infrared
• Tracing the equation of state and the density of cosmological constant along z
• Vacuum driven accelerated expansion
• Dark energy and Josephson junctions
• A mechanism for formation of Bose-Einstein condensation in cosmology
• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• Cosmological cancellation of the vacuum energy density
• The Grand Canonical Multiverse and the Small Cosmological Constant
• Disformally self-tuning gravity
• Quintessence Cosmology with an Effective $\Lambda$-Term in Lyra Manifold
• Brane cosmology in the Horava-Witten heterotic M-Theory on $S^1/Z_2$
• Inflation in non-local hybrid metric-Palatini gravity
• An Expansion of Well Tempered Gravity
• Holographic Bound in Quantum Field Energy Density and Cosmological Constant
• Consistency of $f(R)$ gravity models around solar polytropes
• D = 1 supergravity and quantum cosmology
• Accelerated expansion of the Universe a la the Stueckelberg mechanism
• BPS Equations and the Stress Tensor
• General solution of a cosmological model induced from higher dimensions using a kinematical constraint
• Trace Anomaly, Perelman's Functionals and the Cosmological Constant
• Ether and Relativity
• Cosmological Solutions of Chameleon Scalar Field Model
• Time dependent dark energy and the thermodynamics of many-body systems
• Particle physics processes in cosmology through an effective Minkowski space formulation and the limitations of the method
• Single scale factor for the universe from the creation of radiation and matter till the present
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• Chameleon Gravity as an Alternative to Dark Matter
• Gravastar-like black hole solutions in $q$-theory
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Toward solving the cosmological constant problem by embedding
• Wormholes, Void Bubbles and Vacuum Energy Suppression
• Glassy gravity
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• Tuning the Cosmological Constant, Broken Scale Invariance, Unitarity
• Dark energy from gravitational corrections
• On spectrum of vacuum energy
• A New Approach to Flatness, Horizon and Late-time Accelerating Expansion Problems on the basis of Mach Principle
• A Cosmology of a Trans-Planckian Theory and Dark Energy
• Resolution of the cosmological constant problem by unimodular gravity and signature reversal symmetry
• Emergent diffeomorphism invariance in toy models
• Vacuum pressure, dark energy and dark matter