Noncommutative field theories and gravity
By V. Rivelles. 2002
133 citations recorded by the source corpus.
Abstract We show that after the Seiberg–Witten map is performed the action for noncommutative field theories can be regarded as a coupling to a field dependent gravitational background. This gravitational background depends only on the gauge field. Charged and uncharged fields couple to different backgrounds and we find that uncharged fields couple more strongly than the charged ones. We also show that the background is that of a gravitational plane wave. A massless particle in this background has a velocity which differs from the velocity of light and we find that the deviation is larger in the uncharged case. This shows that noncommutative field theories can be seen as ordinary theories in a gravitational background produced by the gauge field with a charge dependent gravitational coupling.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9321eb057b58395f189d88f1129ffa140870e90f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Emergent geometry and gravity from matrix models: an introduction (2010, background): “The present framework can be seen as a realization of the ideas in [14], where NC U(1) gauge fields were interpreted as gravitons; this will be explained in section 4.”
- Emergent gravity from noncommutative gauge theory (2007, methodology): “(71) This agrees (up to sign) with the results of [31], apart from the contributions from the trace part which enter in a different way.”