Non-abelian Gauge Fields from Defects in Spin-Networks
arXiv:1309.0652
Abstract
\emph{Effective} gauge fields arise in the description of the dynamics of defects in lattices of graphene in condensed matter. The interactions between neighboring nodes of a lattice/spin-network are described by the Hubbard model whose effective field theory at long distances is given by the Dirac equation for an \emph{emergent} gauge field. The spin-networks in question can be used to describe the geometry experienced by a non-inertial observer in flat spacetime moving at a constant acceleration in a given direction. We expect such spin-networks to describe the structure of quantum horizons of black holes in loop quantum gravity. We argue that the abelian and non-abelian gauge fields of the Standard Model can be identified with the emergent degrees of freedom required to describe the dynamics of defects in symmetry reduced spin-networks.
comments welcome
References in corpus (6)
- The electronic properties of graphene
- Superconductivity of QCD vacuum in strong magnetic field
- Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
- Quantum Graphity: a model of emergent locality
- Statistical Mechanics of Graphity Models
- Phenomenology of Space-time Imperfection II: Local Defects