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
Abstract
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...
Subjects
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
EC| HADRONPHYSICS3
Project
HADRONPHYSICS3
Study of Strongly Interacting Matter
  • Funder: European Commission (EC)
  • Project Code: 283286
  • Funding stream: FP7 | SP4 | INFRA
,
FCT| PTDC/FIS/113940/2009
Project
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
19 references, page 1 of 2

1. Jegerlehner, F., Nyffeler, A.: The Muon g-2. Phys.Rept. 477, 1-110 (2009). DOI 10.1016/j.physrep.2009.04.003

2. Friman, B., Ho¨hne, C., Knoll, J., Leupold, S., Randrup, J., Rapp, R.: The CBM Physics Book: Compressed Baryonic Matter in Laboratory Experiments. Lecture Notes in Physics. Springer (2011).

3. Maris, P., Roberts, C.D.: Dyson-Schwinger equations: A Tool for hadron physics. Int.J.Mod.Phys. E12, 297-365 (2003). DOI 10.1142/S0218301303001326

4. Wick, G.: Properties of Bethe-Salpeter Wave Functions. Phys.Rev. 96, 1124-1134 (1954). DOI 10.1103/PhysRev.96.1124 [OpenAIRE]

5. Zuilhof, M., Tjon, J.: Electromagnetic Properties of the Deuteron and the Bethe-Salpeter Equation with One Boson Exchange. Phys.Rev. C22, 2369-2382 (1980). DOI 10.1103/PhysRevC.22.2369 [OpenAIRE]

6. Carbonell, J., Karmanov, V.: Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors. Few Body Syst. 49, 205-222 (2011). DOI 10.1007/s00601-010-0133-5

7. Carbonell, J., Karmanov, V., Mangin-Brinet, M.: Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space. Eur.Phys.J. A39, 53-60 (2009). DOI 10.1140/epja/i2008-10690-6

8. Gross, F.: Three-Dimensional Covariant Integral Equations For Low-Energy Systems. Phys. Rev. 186, 1448 (1969)

9. Gross, F.: Relativistic few-body problem. I. Two-body equations. Phys. Rev. C 26, 2203 (1982)

10. Gross, F.: Relativistic few-body problem. II. Three-body equations and three-body forces. Phys. Rev. C 26, 2226 (1982)

11. Stadler, A., Gross, F.: Covariant Spectator Theory: Foundations and Applications. Few-Body Syst. 49, 91-110 (2011)

12. Nieuwenhuis, T., Tjon, J.: Nonperturbative study of generalized ladder graphs in a j2c theory. Phys.Rev.Lett. 77, 814-817 (1996). DOI 10.1103/PhysRevLett.77.814 [OpenAIRE]

13. Gross, F., Milana, J.: Covariant, chirally symmetric, confining model of mesons. Phys.Rev. D43, 2401-2417 (1991). DOI 10.1103/PhysRevD.43.2401 [OpenAIRE]

14. Gross, F., Milana, J.: Decoupling confinement and chiral symmetry breaking: An explicit model. Phys.Rev. D45, 969-974 (1992). DOI 10.1103/PhysRevD.45.969 [OpenAIRE]

15. Gross, F., Milana, J.: Goldstone pion and other mesons using a scalar confining interaction. Phys.Rev. D50, 3332-3349 (1994). DOI 10.1103/PhysRevD.50.3332 [OpenAIRE]

19 references, page 1 of 2
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