Fermion spins in loop quantum gravity
arXiv:2011.00233 · doi:10.1103/PhysRevD.103.066016
Abstract
We define and study kinematical observables involving fermion spin, such as the total spin of a collection of particles, in loop quantum gravity. Due to the requirement of gauge invariance, the relevant quantum states contain strong entanglement between gravity and fermionic degrees of freedom. Interestingly we find that properties and spectra of the observables are nevertheless similar to their counterparts from quantum mechanics. However, there are also new effects. Due to the entanglement between gravity and fermionic degrees of freedom, alignment of quantum spins has consequences for quantized geometry. We sketch a particular effect of this kind that may in principle be observable.
17 pages, 5 figures v2: small changes in the text, removed various typos. version essentially identical to the one published in PRD
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Cited by in corpus (6)
- Particles in Loop Quantum Gravity formalism: a thermodynamical description
- Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
- Fermion coupling to loop quantum gravity: canonical formulation
- Kinematics of arbitrary spin matter fields in loop quantum gravity
- No invariant perfect qubit codes
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