A Review of Noncommutative Field Theories

Abstract

We present a brief review of selected topics in noncommutative field theories ranging from its revival in string theory, its influence on quantum field theories, its possible experimental signatures and ending with some applications in gravity and emergent gravity.

Talk presented at the XIV Mexican School on Particles and Fields, Morelia, Mexico, November 9-11, 2010; 8 pages. V2 reference added

References in corpus (6)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Noncommutative Gravity
• Dispersion Relations in Noncommutative Theories
• Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing
• Noncommutative Quantum Cosmology
• Aspects of Noncommutative Scalar/Tensor Duality

Cited by in corpus (6)

• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces
• Energy loss and jet quenching parameter in a thermal non-relativistic, non-commutative Yang-Mills plasma
• Thin-shell gravastar in a noncommutative BTZ geometry
• Regularization of Kepler Problem in $\kappa$-spacetime
• Emergent gravity from patterns in natural numbers