Nonuniform symmetry breaking in noncommutative $λΦ^4$ theory

Details Nonuniform symmetry breaking in noncommutative $λΦ^4$ theory Nonuniform symmetry breaking in noncommutative $λΦ^4$ theory

2003-03-04

arxiv.org/abs/hep-th/0303030v2

Phys.Rev. D68 (2003) 065008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, added references

Scientific paper

10.1103/PhysRevD.68.065008

The spontaneous symmetry breaking in noncommutative $\lambda\Phi^4$ theory has been analyzed by using the formalism of the effective action for composite operators in the Hartree-Fock approximation. It turns out that there is no phase transition to a constant vacuum expectation of the field and the broken phase corresponds to a nonuniform background. By considering $<\phi(x)>=A \cos(\vec Q \cdot \vec x)$ the generated mass gap depends on the angles among the momenta $\vec k$ and $\vec Q$ and the noncommutativity parameter $\vec\theta$. The order of the transition is not easily determinable in our approximation.

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