Global surpluses of spin-base invariant fermions

@article{Gies2015GlobalSO,
  title={Global surpluses of spin-base invariant fermions},
  author={Holger Gies and Stefan Lippoldt},
  journal={Physics Letters B},
  year={2015},
  volume={743},
  pages={415-419}
}
Local spin base invariance from a global differential–geometrical point of view
  • C. Emmrich
  • Mathematics
    Journal of Mathematical Physics
  • 2022
This article gives a geometric interpretation of the spin base formulation with local spin base invariance of spinors on a curved space-time and, in particular, of a central element, the global Dirac
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References

SHOWING 1-10 OF 52 REFERENCES
Fermions in gravity with local spin-base invariance
We study a formulation of Dirac fermions in curved spacetime that respects general coordinate invariance as well as invariance under local spin-base transformations. The natural variables for this
Gravity from spinors
We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational
Fermions without vierbeins in curved space-time
A general formulation of spinor fields in Riemannian space-time is given without using vierbeins. The space-time dependence of the Dirac matrices required by the anticommutation relation
Particlelike solutions of the Einstein-Dirac equations
The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infinite number of
Functional renormalization with fermions and tetrads
We investigate some aspects of the renormalization group flow of gravity in the presence of fermions, which have remained somewhat puzzling so far. The first is the sign of the fermionic contribution
Phase transitions in spinor quantum gravity on a lattice
We construct a well-defined lattice-regularized quantum theory formulated in terms of fundamental fermion and gauge fields, the same type of degrees of freedom as in the Standard Model. The theory is
Quantum Einstein gravity
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in quantum Einstein gravity. Using the continuum approach based upon the effective average action,
Matter matters in asymptotically safe quantum gravity
We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We
Light fermions in quantum gravity
We study the impact of quantum gravity, formulated as a quantum field theory of the metric, on chiral symmetry in a fermionic matter sector. Specifically we address the question of whether metric
Photons and gravitons as Goldstone bosons, and the cosmological constant
We reexamine a scenario in which photons and gravitons arise as Goldstone bosons associated with the spontaneous breaking of Lorentz invariance. We study the emergence of Lorentz invariant low energy
...
...