Induced Gauge Theory on a Noncommutative Space

Abstract

We consider a scalar ${\varphi }^4$ theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exterior gauge field is coupled in a gauge invariant manner to the scalar field. We extract the dynamics for the gauge field from the divergent terms of the 1-loop effective action using a matrix basis and propose an action for the noncommutative gauge theory, which is a candidate for a renormalisable model.

Typos corrected, one reference added; eqn. (49) corrected, one equation number added; 30 pages

References in corpus (1)

• Noncommutative Induced Gauge Theory

Cited by in corpus (9)

• Emergent Gravity, Matrix Models and UV/IR Mixing
• Translation-invariant models for non-commutative gauge fields
• On the vacuum states for noncommutative gauge theory
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Noncommutative Induced Gauge Theories on Moyal Spaces
• Remarks on the 2nd order Seiberg-Witten maps
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Induced Gauge Theory on a Noncommutative Space