Quantum Gravity Boundary Terms from Spectral Action of Noncommutative Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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"Noncommutative Space" was added to end of title. Minor changes. Content that appeared in print

Scientific paper

10.1103/PhysRevLett.99.071302

We study the boundary terms of the spectral action of the noncommutative space, defined by the spectral triple dictated by the physical spectrum of the standard model, unifying gravity with all other fundamental interactions. We prove that the spectral action predicts uniquely the gravitational boundary term required for consistency of quantum gravity with the correct sign and coefficient. This is a remarkable result given the lack of freedom in the spectral action to tune this term.

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