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arXiv · 0802.0973

Emergent Gravity, Matrix Models and UV/IR Mixing

Harald Grosse·Harold Steinacker·Michael Wohlgenannt
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Abstract

We verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in terms of an induced gravity action, as predicted by the identification [1] of gravity within matrix models of NC gauge theory. More precisely, we obtain the Einstein-Hilbert action by integrating out a scalar field in the adjoint. It arises from the well-known UV/IR mixing of NC gauge theory, which is carefully re-analyzed and interpreted in terms of gravity. The matrix model therefore contains gravity as an IR effect, due to UV/IR mixing.

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Harald Grosse, Harold Steinacker, Michael Wohlgenannt. 2008-03-03. Emergent Gravity, Matrix Models and UV/IR Mixing. https://doi.org/10.1088/1126-6708%2F2008%2F04%2F023

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