Emergent gravity from noncommutative gauge theory
By H. Steinacker. 2007
146 citations recorded by the source corpus.
We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. The SU(n) gauge fields as well as additional scalar fields couple to an effective metric Gab, which is determined by a dynamical Poisson structure. The emergent gravity is intimately related to noncommutativity, encoding those degrees of freedom which are usually interpreted as U(1) gauge fields. This leads to a class of metrics which contains the physical degrees of freedom of gravitational waves, and allows to recover e.g. the Newtonian limit with arbitrary mass distribution. It also suggests a consistent picture of UV/IR mixing in terms of an induced gravity action. This should provide a suitable framework for quantizing gravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4f83520d49efc0e33a1decc22be5228b369a2bca
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Citations in the corpus
- Emergent geometry and gravity from matrix models: an introduction (2010, methodology): “1 2 (F ∧ F)μνρσ θ̂θ = (Fμνθ̂)(Fρσ θ ) + 2FμσFνρθ̂θ (85) and θ̂ ∧ θ = η e−σ θ ∧ θ , see [16].”