Quantum effective potential for U(1) fields on S^2_L X S^2_L

Abstract

We compute the one-loop effective potential for noncommutative U(1) gauge fields on S^2_L X S^2_L. We show the existence of a novel phase transition in the model from the 4-dimensional space S^2_L X S^2_L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling constant when the mass of the two normal components of the gauge field on S^2_L X S^2_L is sent to infinity.

13 pages. one figure

References in corpus (4)

• Finite Gauge Theory on Fuzzy CP^2
• A non-perturbative approach to non-commutative scalar field theory
• Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
• Noncommutative U(1) Gauge Theory As a Non-Linear Sigma Model

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• The One-Plaquette Model Limit of NC Gauge Theory in 2D
• Topology Change From Quantum Instability of Gauge Theory on Fuzzy CP^2
• Heat kernel expansion and induced action for the matrix model Dirac operator
• Towards Noncommutative Fuzzy QED
• Intersecting branes, Higgs sector, and chirality from $\mathcal{N}=4$ SYM with soft SUSY breaking
• Geometry in transition in four dimensions: A model of emergent geometry in the early universe and dark energy
• The instability of intersecting fuzzy spheres
• Emergent fuzzy geometry and fuzzy physics in $4$ dimensions
• Heat kernel expansion and induced action for matrix models