New Action Principle for General Relativity
arXiv:1103.4498 · doi:10.1103/PhysRevLett.106.251103
Abstract
General Relativity can be reformulated as a diffeomorphism invariant SU(2) gauge theory. A new action principle for this "pure connection" formulation of GR is described.
4 pages, no figures
References in corpus (6)
- Plebanski Formulation of General Relativity: A Practical Introduction
- On deformations of Ashtekar's constraint algebra
- Gravity-Yang-Mills-Higgs unification by enlarging the gauge group
- Towards a unification of gravity and Yang-Mills theory
- A Unified Theory of Non-Linear Electrodynamics and Gravity
- Remarks on Pure Spin Connection Formulations of Gravity
Cited by in corpus (74)
- Actions for Self-dual Higher Spin Gravities
- Holonomy spin foam models: Asymptotic geometry of the partition function
- Fermions in gravity with local spin-base invariance
- Self-Dual Gravity
- Gravity and Unification: A review
- gravity
- The "tetrad only" theory space: Nonperturbative renormalization flow and Asymptotic Safety
- A Gauge Theoretic Approach to Gravity
- Spacetime and dark matter from spontaneous breaking of Lorentz symmetry
- Spin-base invariance of Fermions in arbitrary dimensions
- Cartan gravity, matter fields, and the gauge principle
- Pregeometry and spontaneous time-space asymmetry
- Spontaneous symmetry breaking and gravity
- Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering
- Supersymmetric 3D model for gravity with gauge symmetry, mass generation and effective cosmological constant
- Scattering amplitudes in affine gravity
- A new functional flow equation for Einstein-Cartan quantum gravity
- A conformal model of gravitons
- Gravity and Mirror Gravity in Plebanski Formulation
- Surface Charges Toolkit for Gravity
- Pregeometry and euclidean quantum gravity
- A gauge theoretic approach to the anti-self-dual Einstein equations
- Pure Connection Formalism for Gravity: Linearized Theory
- Emergent metric and geodesic analysis in cosmological solutions of (torsion-free) Polynomial Affine Gravity
- Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
- The relation between the model of a crystal with defects and Plebanski's theory of gravity
- On selfdual spin-connections and Asymptotic Safety
- Pure Connection Formulation, Twistors and the Chase for a Twistor Action for General Relativity
- Anisotropic singularities in chiral modified gravity
- Covariant Origin of the model for Euclidean Quantum Gravity
- A gauge theoretic approach to Einstein 4-manifolds
- Alternative derivation of Krasnov's action for general relativity
- Spin connection formulations of real Lorentzian General Relativity
- Pure connection gravity at one loop: Instanton background
- Chiral approach to partially-massless fields
- Quantum cosmology of pure connection general relativity
- GR uniqueness and deformations
- The Quantum Gravity Disk: Discrete Current Algebra
- Beyond Einstein: A Polynomial Affine Model of Gravity
- Deformations of GR, Geometrodynamics and Reality Conditions
- Pure Lorentz spin connection theories and uniqueness of General Relativity
- Gravity, Cartan geometry, and idealized waywisers
- Aspects of the polynomial affine model of gravity in three dimensions
- Gravity with torsion as deformed theory
- Deformations of GR and BH thermodynamics
- Weyl Curvature Evolution System for GR
- Field redefinitions and Plebanski formalism for GR
- A polynomial affine model of gravity: after ten years
- Plebanski-like action for general relativity and anti-self-dual gravity
- Asymptotically hyperbolic connections
- An introduction to the physics of Cartan gravity
- Pure connection formalism for gravity: Recursion relations
- New first order Lagrangian for General Relativity
- Polynomial affine model of gravity in three-dimensions
- Gravitons and a complex of differential operators
- Fermions via spinor-valued one-forms
- Emergent Planck mass and dark energy from affine gravity
- Deformations of Yang-Mills theory
- Vector-tensor gravity from a broken gauge symmetry
- Unimodular Plebański Gravity
- A 4D gravity theory and G2-holonomy manifolds
- Polynomial -type action for general relativity and anti-self-dual gravity
- Gauge connection formulations for general relativity
- Pure-connection gravity and anisotropic singularities
- Does the metric play a fundamental role in the building of gravitational models?
- Corrections to (pseudo)scalars decay into a fermion pair from gravitational torsion
- Canonical analysis of unimodular Plebański gravity
- Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition
- Isometries from gauge transformations
- Constructing the theory at the boundary, its dynamics and degrees of freedom
- Comments on the symmetry breaking condition in MacDowell-Mansouri action
- Graviton scattering amplitudes and Pure Connection Formulation of GR
- Warped Product Einstein Manifolds in Four Dimensions
- Kerr metric from two commuting complex structures