Towards a Loop Quantum Gravity and Yang–Mills unification

  title={Towards a Loop Quantum Gravity and Yang–Mills unification},
  author={Stephon H. S. Alexander and Antonino Marcian{\`o} and Ruggero Altair Tacchi},
  journal={Physics Letters B},

Figures from this paper

A new duality between topological M-theory and loop quantum gravity
Inspired by the long wave-length limit of topological M-theory, which re-constructs the theory of $3+1$D gravity in the self-dual variables' formulation, we conjecture the existence of a duality
The Spin-Foam Approach to Quantum Gravity
The present status of the spin-foam approach to the quantization of gravity is reviewed and the pedagogical presentation of the recently-introduced new models for four-dimensional quantum gravity is paid to.
Self-dual formulation of gravity in topological M-theory
Inspired by the low wave-length limit of topological M-theory, which re-constructs the theory of $3+1$D gravity in the self-dual variables' formulation, and by the realization that in Loop Quantum
Gravitational origin of the weak interaction's chirality
We present a new unification of the electro-weak and gravitational interactions based on the joining the weak SU(2) gauge fields with the left handed part of the spacetime connection, into a single
Enhanced color gauge invariance and a new di-photon state at the LHC
We propose to interpret the possible resonance seen in di-photons at the LHC at 750 Gev as a bound state of a new pair of heavy gluons associated with an enhanced color gauge invariance. These have a
We present several theories of four-dimensional gravity in the Plebanski formulation, in which the tetrads and the connections are the independent dynamical variables. We consider the relation
Higher Theory and the Three Problems of Physics
According to the Butterfield–Isham proposal, to understand quantum gravity we must revise the way we view the universe of mathematics. However, this paper demonstrates that the current elaborations
Invisible QCD as Dark Energy
We account for the late time acceleration of the Universe by extending the Quantum Chromodynamics (QCD) color to a S U ( 3 ) invisible sector (IQCD). If the Invisible Chiral symmetry is broken in the


Plebanski action extended to a unification of gravity and Yang-Mills theory
We study a unification of gravity with Yang-Mills fields based on a simple extension of the Plebanski action to a Lie group G which contains the local Lorentz group. The Coleman-Mandula theorem is
New spinfoam vertex for quantum gravity
We introduce a new spinfoam vertex to be used in models of 4d quantum gravity based on SU(2) and SO(4) BF theory plus constraints. It can be seen as the conventional vertex of SU(2) BF theory, the
Gravi-weak unification
The coupling of chiral fermions to gravity makes use only of the selfdual SU(2) subalgebra of the (complexified) SO(3, 1) algebra. It is possible to identify the antiselfdual subalgebra with the
Loop-quantum-gravity vertex amplitude.
This work presents an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly.
Coherent states for FLRW space-times in loop quantum gravity
We construct a class of coherent spin-network states that capture properties of curved space-times of the Friedmann-Lamaitre-Robertson-Walker type on which they are peaked. The data coded by a
Spin-foams for all loop quantum gravity
The simplicial framework of Engle–Pereira–Rovelli–Livine spin-foam models is generalized to match the diffeomorphism invariant framework of loop quantum gravity. The simplicial spin-foams are
Holonomy and path structures in general relativity and Yang-Mills theory
This article is about a different representation of the geometry of the gravitational field, one in which the paths of test bodies play a crucial role. The primary concept is the geometry of the
Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
Loop quantum gravity is an approach to quantum gravity that starts from the Hamiltonian formulation in terms of a connection and its canonical conjugate. Quantization proceeds in the spirit of Dirac: