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

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

2005-06-04

arxiv.org/abs/hep-th/0506044v1

JHEP 0509 (2005) 066

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. one figure

Scientific paper

10.1088/1126-6708/2005/09/066

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.

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