The Effective Potential in the Noncommutative Field Theories within the Coherent States Approach

Details The Effective Potential in the Noncommutative Field Theories within the Coherent States Approach The Effective Potential in the Noncommutative Field Theories within the Coherent States Approach

2006-05-26

arxiv.org/abs/hep-th/0605262v3

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, minor corrections

Scientific paper

We apply the coherent state approach to study the noncommutative scalar field theory with $\phi^4$ self-interaction and Yukawa coupling to the spinor field. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, the $\frac{1}{\theta}$ singularities arise as the noncommutative parameter $\theta$ tends to zero. For a special relation between two couplings, these singularities are shown to be cancelled, partially in the massive case and totally in the massless case.

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