Abstract
In this work the Feynman-Schwinger representation for the two-body Greens function is studied. After having given a brief introduction to the formalism, we report on the first calculations based on this formalism. In order to demonstrate the validity of the method, we consider the static case where the mass of one of the particles becomes very large. We show that the heavy particle follows a classical trajectory and we find a good agreement with the Klein-Gordon result.
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References
Yu. A. Simonov and J. A. Tjon, The Feynman-Schwinger Representation for the Relativistic Two-Particle Amplitude in Field Theory, Ann. Phys., to be published.
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© 1994 Springer-Verlag/Wien
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Nieuwenhuis, T., Tjon, J.A., Simonov, Y.A. (1994). Relativistic Two-Body Bound-State Calculations Beyond the Ladder Approximation. In: Bakker, B.L.G., van Dantzig, R. (eds) Few-Body Problems in Physics ’93. Few-Body Systems, vol 7. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9352-5_42
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DOI: https://doi.org/10.1007/978-3-7091-9352-5_42
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-9354-9
Online ISBN: 978-3-7091-9352-5
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