Quantum Gravity and String Theory

   

Generalized Gravity in Clifford Spaces, Vacuum Energy and Grand Unification

Authors: Carlos Castro

Polyvector-valued gauge field theories in Clifford spaces are used to construct a novel Cl(3, 2) gauge theory of gravity that furnishes modified curvature and torsion tensors leading to important modifications of the standard gravitational action with a cosmological constant. Vacuum solutions exist which allow a cancellation of the contributions of a very large cosmological constant term and the extra terms present in the modified field equations. Generalized gravitational actions in Clifford-spaces are provided and some of their physical implications are discussed. It is shown how the 16 fermions and their masses in each family can be accommodated within a Cl(4) gauge field theory. In particular, the Higgs fields admit a natural Clifford-space interpretation that differs from the one in the Chamseddine-Connes spectral action model of Noncommutative geometry. We finalize with a discussion on the relationship with the Pati-Salam color-flavor model group SU(4)C x SU(4)F and its symmetry breaking patterns. An Appendix is included with useful Clifford algebraic relations.

Comments: 21 pages, submitted to the Int. J. Mod. Phys. A.

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Submission history

[v1] 11 Sep 2010

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