Lattice spinor gravity
arXiv:1108.1313 · doi:10.1016/j.physletb.2011.09.059
Abstract
We propose a regularized lattice model for quantum gravity purely formulated in terms of fermions. The lattice action exhibits local Lorentz symmetry, and the continuum limit is invariant under general coordinate transformations. The metric arises as a composite field. Our lattice model involves no signature for space and time, describing simultaneously a Minkowski or euclidean theory. It is invariant both under Lorentz transformations and euclidean rotations. The difference between space and time arises from expectation values of composite fields. Our formulation includes local gauge symmetries beyond the generalized Lorentz symmetry. The lattice construction can be employed for formulating models with local gauge symmetries purely in terms of fermions
9 pages, minor corrections
References in corpus (1)
Cited by in corpus (10)
- Emergent Models for Gravity: an Overview of Microscopic Models
- Phase transitions in spinor quantum gravity on a lattice
- Extended Einstein-Cartan theory a la Diakonov: the field equations
- Dynamical Foundations of the Brane Induced Gravity
- Universality of geometry
- Geometry and symmetries in lattice spinor gravity
- Lattice diffeomorphism invariance
- Emergent gravity in two dimensions
- Spinor gravity and diffeomorphism invariance on the lattice
- Scalar lattice gauge theory