Spinor gravity

doi:10.1016/j.physletb.2003.09.010

Physics Letters B

Volume 574, Issues 3–4, 13 November 2003, Pages 269-275

https://doi.org/10.1016/j.physletb.2003.09.010 Get rights and content

Abstract

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to Einstein gravity. Lorentz symmetry in spinor space is only global, implying new Goldstone-boson-like gravitational particles beyond the graviton. However, the Schwarzschild and Friedman solutions are unaffected at one loop order. Our generalized gravity seems compatible with all present observations.

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In spinor gravity a formulation with local Lorentz symmetry and diffeomorphism invariance has indeed been achieved [16–18]. ( For first formulations with global Lorentz symmetry see ref. [19,20].) The vierbein and the metric have been constructed as composites of the fermions.
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Gravity can be regarded as a consequence of local Lorentz (LL) symmetry, which is essential in defining a spinor field in curved spacetime. The gravitational action may admit a zero-field limit of the metric and vierbein at a certain ultraviolet cutoff scale such that the action becomes a linear realization of the LL symmetry. Consequently, only three types of term are allowed in the four-dimensional gravitational action at the cutoff scale: a cosmological constant, a linear term of the LL field strength, and spinor kinetic terms, whose coefficients are in general arbitrary functions of LL and diffeomorphism invariants. In particular, all the kinetic terms are prohibited except for spinor fields, and hence the other fields are auxiliary. Their kinetic terms, including those of the LL gauge field and the vierbein, are induced by spinor loops simultaneously with the LL gauge field mass. The LL symmetry is necessarily broken spontaneously and hence is nothing but a hidden local symmetry, from which gravity is emergent.
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Spinor gravity

Abstract

Prog. Theor. Phys.

Phys. Lett. B

Sov. Phys. Dokl.

Dokl. Akad. Nauk Ser. Fiz.

Nucl. Phys. B

Phys. Rev. Lett.

Dokl. Akad. Nauk SSSR

Nucl. Phys. B

Nucl. Phys. B

Phys. Rev. D

Phys. Rev.

Phys. Rev.

Phys. Rev. D

Proc. R. Soc. London A

Nucl. Phys. B

Prog. Theor. Phys.