publication . Article . Preprint . 2012

Scalar-Particle Self-Energy Amplitudes and Confinement in Minkowski Space

Biernat, Elmar P.; Gross, Franz; Peña, Teresa; Stadler, Alfred;
Open Access
  • Published: 30 Sep 2012 Journal: Few-Body Systems, volume 54, pages 2,283-2,301 (issn: 0177-7963, eissn: 1432-5411, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
  • Country: Portugal
We analyze the analytic structure of the Covariant Spectator Theory (CST) contribution to the self-energy amplitude for a scalar particle in a \phi^2 \chi-theory. To this end we derive dispersion relations in 1+1 and in 3+1 dimensional Minkowski space. The divergent loop integrals in 3+1 dimensions are regularized using dimensional regularization. We find that the CST dispersion relations exhibit, in addition to the usual right-hand branch cut, also a left-hand cut. The origin of this "spectator" left-hand cut can be understood in the context of scattering for a scalar \phi^2 \chi^2-type theory. If the interaction kernel contains a linear confining component, it...
free text keywords: Meson structure, Covariant Spectator Theory, Atomic and Molecular Physics, and Optics, Scalar (physics), Physics, Self-energy, Dispersion relation, One-dimensional space, Minkowski space, Dimensional regularization, Quantum mechanics, Scalar boson, Covariant transformation, High Energy Physics - Phenomenology, Nuclear Theory
Related Organizations
Funded by
Study of Strongly Interacting Matter
  • Funder: European Commission (EC)
  • Project Code: 283286
  • Funding stream: FP7 | SP4 | INFRA
FCT| PTDC/FIS/113940/2009
Hadron structure with relativistic models
  • Funder: Fundação para a Ciência e a Tecnologia, I.P. (FCT)
  • Project Code: 113940
  • Funding stream: 3599-PPCDT
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