Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model

Details Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model

2003-06-09

arxiv.org/abs/hep-th/0306064v3

Phys.Rev. D69 (2004) 065001

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures, corrected to match with the PRD version

Scientific paper

10.1103/PhysRevD.69.065001

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational invariance as a property of the vacuum state and study the conditions for spontaneous symmetry breaking by an effective potential analysis. An investigation of up to the two loop level reveals that noncommutative effects can modify drastically the shape of the effective potential. Under reasonable conditions, the nonplanar sector of the theory can become dominant and induce symmetry breaking for values of the mass and coupling constants not reached by the commutative counterpart.

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