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Phys. Rev. Lett. 99, 071302 (2007) [4 pages]

Quantum Gravity Boundary Terms from the Spectral Action of Noncommutative Space

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Ali H. Chamseddine1,3 and Alain Connes2,3,4
1Physics Department, American University of Beirut, Lebanon
2College de France, 3 rue Ulm, F75005, Paris, France
3Institut des Hautes Etudes Scientifique F-91440 Bures-sur-Yvette, France
4Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA

Received 12 May 2007; published 17 August 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.071302
DOI:
10.1103/PhysRevLett.99.071302
PACS:
04.62.+v, 02.40.Gh, 11.10.Nx, 11.30.Ly