Emergent Gravity, Matrix Models and UV/IR Mixing

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.

33 pages, 3 figures. V2: references added

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Cited by in corpus (44)

• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• Quantum Gravity, Field Theory and Signatures of Noncommutative Spacetime
• Cosmological solutions of emergent noncommutative gravity
• Emergent Spacetime and The Origin of Gravity
• Emergent Cosmology from Matrix Theory
• Matrix Model Approach to Cosmology
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Gauge theories on quantum spaces
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• Particle-like solutions to classical noncommutative gauge theory
• Emergent Metric Space-Time from Matrix Theory
• Dynamical noncommutativity and Noether theorem in twisted phi^*4 theory
• $\kappa$-Poincaré invariant orientable field theories at 1-loop
• Gauge theories on $\kappa$-Minkowski spaces: Twist and modular operators
• IR finite graviton propagators in de Sitter spacetime
• Gauge Theories on Deformed Spaces
• Duality covariant quantum field theory on noncommutative Minkowski space
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• Matrix geometries and Matrix Models
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• Spontaneous generation of geometry in four dimensions
• Curvature and Gravity Actions for Matrix Models
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• Involutive representations of coordinate algebras and quantum spaces
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• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Poisson structure on a space with linear SU(2) fuzziness
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• Heat kernel expansion and induced action for the matrix model Dirac operator
• Quantum instability of gauge theories on $\kappa$-Minkowski space
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• Translation-Invariant Noncommutative Renormalization
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
• Remarks on an Exact Seiberg-Witten map
• Dominance of a single topological sector in gauge theory on non-commutative geometry
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Matrix Models, Emergent Gravity, and Gauge Theory
• Quantum Spacetimes from General Relativity?