Conformally covariant quantization of Maxwell field in de Sitter space

Oct, 2009
12 pages
Published in:
  • Phys.Rev.D 80 (2009) 124005
e-Print:

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Abstract: (arXiv)
In this article, we quantize the Maxwell ('massless spin one') de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO0(2,4)_0(2,4) group and consequently under the de Sitter group. We obtain a new de Sitter invariant two-points function which is very simple. Our method relies on the one hand, on a geometrical point of view which uses the realization of Minkowski, de Sitter and anti-de Sitter spaces as intersections of the null cone in \setR^6 and a moving plane, and on the other hand, on a canonical quantization scheme of the Gupta-Bleuler type.
  • 98.80.Jk
  • 04.62.+v
  • space: de Sitter
  • quantization: canonical
  • invariance: gauge
  • electromagnetic field: quantization
  • two-point function
  • geometry
  • transformation: Weyl
  • invariance: conformal
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