Towards Noncommutative Fuzzy QED

Abstract

We study in one-loop perturbation theory noncommutative fuzzy quenched QED_4. We write down the effective action on fuzzy S**2 x S**2 and show the existence of a gauge-invariant UV-IR mixing in the model in the large N planar limit. We also give a derivation of the beta function and comment on the limit of large mass of the normal scalar fields. We also discuss topology change in this 4 fuzzy dimensions arising from the interaction of fields (matrices) with spacetime through its noncommutativity.

33 pages

References in corpus (7)

• Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
• Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• Cancellation of soft and collinear divergences in noncommutative QED
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED

Cited by in corpus (6)

• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• Matrix geometries and Matrix Models
• Geometry in transition in four dimensions: A model of emergent geometry in the early universe and dark energy
• Emergent fuzzy geometry and fuzzy physics in $4$ dimensions
• A projective Dirac operator on CP^2 within fuzzy geometry