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Construction of homogeneous propagators for massive half-integer spin fields in 3+2 De Sitter space, with implications for the massless limit

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Abstract

In this Letter we obtain explicit expressions of homogeneous propagators for half-integer spin fields and their flat-space limits, showing that propagation is confined inside the light cone. Also, for lower values of spin, flat-space limits are given.

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References

  1. FlatoM. and FronsdalC., Quarks or singletons? Phys. Lett. B172, 412–416 (1986).

    Google Scholar 

  2. FlatoM. and FronsdalC., One massless particle equals two Dirac singletons, Lett. Math. Phys. 2, 421–426 (1978). Flato, M. and Fronsdal, C., On Dis and Racs, Phys. Lett. 97B, 236–240 (1980).

    Google Scholar 

  3. Gazeau, J. P. and Hans, M., Integral-spin fields on 3+2 De Sitter space, to appear.

  4. FlatoM., FronsdalC., and GazeauJ. P.: Masslessness and light cone propagation in 3+2 de Sitter and 2+1 Minkowski spaces, Phys. Rev. D33, 415–420 (1986).

    Google Scholar 

  5. FangJ. and FronsdalC., Massless, half-integer-spin fields in de Sitter space, Phys. Rev. D22, 1361–1367 (1980).

    Google Scholar 

  6. JanssenH. and DullemondC., Spinor propagators in anti-de Sitter space-time, J. Math. Phys. 27, 2786–2790 (1986). Dullemond, C. and Van Beveren, E., Scalar field propagators in anti-de Sitter space-time, J. Math. Phys. 26, 2050–2058 (1985).

    Google Scholar 

  7. PinczonG. and SimonJ., Extensions of representations and cohomology, Rep. Math. Phys. 16, 49–77 (1979).

    Google Scholar 

  8. FronsdalC., Elementary particles in a curves space II, Phys. Rev. D10, 589–598 (1974).

    Google Scholar 

  9. GurseyF., Lectures of the Istanbul summer school of theoretical physics 1, 365–389 (1962).

    Google Scholar 

  10. FronsdalC. and HaugenR. B., Elementary particles in a curved space III, Phys. Rev. D12, 3810–3818 (1975).

    Google Scholar 

  11. FronsdalC., Elementary particles in a curved space. IV. Massless particles, Phys. Rev. D12, 3819–3830 (1975).

    Google Scholar 

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  1. Départment de Mathématiques, Université Paris XI Orsay, F-91405, Orsay, France

    Marc Lesimple

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  1. Marc Lesimple
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Lesimple, M. Construction of homogeneous propagators for massive half-integer spin fields in 3+2 De Sitter space, with implications for the massless limit. Letters in Mathematical Physics 15, 143–150 (1988). https://doi.org/10.1007/BF00397835

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  • DOI: https://doi.org/10.1007/BF00397835

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