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

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dc.creatorAnacleto, M. A.
dc.creatorNascimento, J. R.
dc.creatorPetrov, A. Yu.
dc.date2006-05-26
dc.date2006-12-12
dc.date.accessioned2026-07-07T07:13:37Z
dc.date.available2026-07-07T07:13:37Z
dc.descriptionWe apply the coherent state approach to study the noncommutative scalar field theory with $ϕ^4$ 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 $\frac{1}θ$ 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.
dc.description15 pages, 2 figures, minor corrections
dc.identifierhttps://arxiv.org/abs/hep-th/0605262
dc.identifierhttp://arxiv.org/abs/hep-th/0605262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112533
dc.subjectHigh Energy Physics - Theory
dc.titleThe Effective Potential in the Noncommutative Field Theories within the Coherent States Approach
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