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Point-form quantum field theory and meson form factors

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Abstract

We comment on canonical quantization of relativistic field theories on a Lorentz-invariant surface of the form x 2 = τ2. By this choice of the quantization surface all components of the four-momentum operator become interaction dependent, whereas the generators of Lorentz transformations stay free of interactions – a feature characteristic for Dirac’s “point-form” of relativistic dynamics. In the sequel we demonstrate how field theoretical concepts may enter the framework of relativistic quantum mechanics. To this aim we employ a Poincaré-invariant approximation scheme, which allows to reduce a field theoretical many-body problem to a multichannel problem for a Bakamjian-Thomas-type mass operator. As an application of this multichannel formalism we will discuss the scattering of an electron by a (confined) quark-antiquark pair. It will be sketched how an electromagnetic meson form factor can be extracted from the one-photon exchange optical potential.

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References

  • EP Biernat WH Klink W Schweiger S Zelzer (2008) Ann Phys (NY) 323 1361 Occurrence Handle1139.81054 Occurrence Handle10.1016/j.aop.2007.09.004 Occurrence Handle2008AnPhy.323.1361B Occurrence Handle2423379

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • CM Sommerfield (1974) Ann Phys (NY) 84 285 Occurrence Handle10.1016/0003-4916(74)90304-2 Occurrence Handle1974AnPhy..84..285S

    Article  ADS  Google Scholar 

  • D Gromes HJ Rothe B Stech (1974) Nucl Phys B 75 313 Occurrence Handle10.1016/0550-3213(74)90551-3 Occurrence Handle1974NuPhB..75..313G Occurrence Handle356773

    Article  ADS  MathSciNet  Google Scholar 

  • B Bakamjian LH Thomas (1953) Phys Rev 92 1300 Occurrence Handle0052.22301 Occurrence Handle10.1103/PhysRev.92.1300 Occurrence Handle1953PhRv...92.1300B Occurrence Handle59655

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • WH Klink (2003) Nucl Phys A 716 123 Occurrence Handle1010.81017 Occurrence Handle10.1016/S0375-9474(02)01406-9 Occurrence Handle2003NuPhA.716..123K

    Article  MATH  ADS  Google Scholar 

  • Fuchsberger K (2007) Electromagnetic meson form factors within a coupled channel approach. Diploma Thesis, University of Graz

  • CJ Bebek et al. (1978) Phys Rev D 17 1693 Occurrence Handle10.1103/PhysRevD.17.1693 Occurrence Handle1978PhRvD..17.1693B

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institut für Physik, Universität Graz, Graz, Austria

    E. P. Biernat, K. Fuchsberger & W. Schweiger

  2. Department of Physics and Astronomy, University of Iowa, Iowa City, IA, USA

    W. H. Klink

Authors
  1. E. P. Biernat
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  2. K. Fuchsberger
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  3. W. H. Klink
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  4. W. Schweiger
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Corresponding author

Correspondence to W. Schweiger.

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Correspondence: W. Schweiger, Institut für Physik, Universität Graz, Universitätsplatz 5, 8010 Graz, Austria

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Biernat, E., Fuchsberger, K., Klink, W. et al. Point-form quantum field theory and meson form factors. Few-Body Syst 44, 311–314 (2008). https://doi.org/10.1007/s00601-008-0316-5

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  • DOI: https://doi.org/10.1007/s00601-008-0316-5

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