2006/05/26 by M. A. Anacleto, Anacleto, M. A., J. R. Nascimento +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0605262
15 pages, 2 figures, minor corrections
openalex publication_date 2006/05/26 · arxiv created 2006/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We apply the coherent state approach to study the noncommutative scalar field theory with ϕ4 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 \frac1θ singularities arise as the noncommutative parameter θ 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.