Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function

Details Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function

2011-01-22

arxiv.org/abs/1101.4294v2

Int.J.Theor.Phys.50:2819-2841,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures, typos corrected

Scientific paper

10.1007/s10773-011-0782-2

The Boulatov-Ooguri tensor model generates a sum over spacetime topologies for the $D$-dimensional BF theory. We study here the quantum corrections to the propagator of the theory. In particular, we find that the radiative corrections at the second order in the coupling constant yield a mass renormalization. They also exhibit a divergence which cannot be balanced with a counter-term in the initial action, and which usually corresponds to the wave-function renormalization.

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