Global surpluses of spin-base invariant fermions
arXiv:1502.00918 · doi:10.1016/j.physletb.2015.03.014
Abstract
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra. We emphasize the advantages of the spin-base invariant formalism both from a conceptual as well as from a practical viewpoint. This suggests that local spin-base invariance should be added to the list of (effective) properties of (quantum) gravity theories. We find support for this viewpoint by the explicit construction of a global realization of the Clifford algebra on a 2-sphere which is impossible in the spin-base non-invariant vielbein formalism.
arXiv comment6 pages
References in corpus (20)
- Nonperturbative Evolution Equation for Quantum Gravity
- Quantum Einstein Gravity
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- Matter matters in asymptotically safe quantum gravity
- Asymptotic Safety of Gravity Coupled to Matter
- Contraints on Matter from Asymptotic Safety
- Light fermions in quantum gravity
- Particle-Like Solutions of the Einstein-Dirac Equations
- Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant
- Functional renormalization with fermions and tetrads
- Gravity from Spinors
- Kermions: quantization of fermions on Kerr space-time
- Fermions without Vierbeins in Curved Space-Time
- Phase transitions in spinor quantum gravity on a lattice
- Fermions in gravity with local spin-base invariance
- Spinor Gravity
- The "tetrad only" theory space: Nonperturbative renormalization flow and Asymptotic Safety
- The Nontriviality of Trivial General Covariance: How Electrons Restrict 'Time' Coordinates, Spinors (Almost) Fit into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure
- Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
- Observable consequences of quantum gravity: Can light fermions exist?
Cited by in corpus (20)
- The nonperturbative functional renormalization group and its applications
- Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
- Quantum gravity and Standard-Model-like fermions
- Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
- Zooming in on fermions and quantum gravity
- Background independent exact renormalization group for conformally reduced gravity
- Ising and Gross-Neveu model in next-to-leading order
- Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
- Light charged fermions in quantum gravity
- A link that matters: Towards phenomenological tests of unimodular asymptotic safety
- Exploring new corners of asymptotically safe unimodular quantum gravity
- Spin-base invariance of Fermions in arbitrary dimensions
- Scattering amplitudes in affine gravity
- The Fröhlich-Morchio-Strocchi mechanism and quantum gravity
- On selfdual spin-connections and Asymptotic Safety
- Quantum field theories of relativistic Luttinger fermions
- Quantum corrected gravitational potential beyond monopole-monopole interactions
- Asymptotically Safe Gravity-Fermion systems on curved backgrounds
- Local spin base invariance from a global differential-geometrical point of view
- The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy