Emergent Gravity from Noncommutative Gauge Theory

Autor(en)

Harold Steinacker

Abstrakt

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 G(ab), 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.

Organisation(en)

Mathematische Physik

Journal

Journal of High Energy Physics

Band

2007

Anzahl der Seiten

36

ISSN

1029-8479

DOI

https://doi.org/10.1088/1126-6708/2007/12/049

Publikationsdatum

2007

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103034 Teilchenphysik, 103028 Relativitätstheorie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/60655535-c5ae-4183-8c23-b217833c1ea4