Advertisement

Massless Scalar Field in a Two-dimensional de Sitter Universe

  • Marco Bertola
  • Francesco Corbetta
  • Ugo Moschella
Part of the Progress in Mathematics book series (PM, volume 251)

Summary

We study the massless minimally coupled scalar field on a two-dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zeromass limit of the massive one. Insisting on gauge invariance of the model we construct a vacuum state and a Hilbert space of physical states which are invariant under the action of the whole de Sitter group. We also present the integral expression of the conserved charge which generates the gauge invariance and propose a definition of dual field.

Keywords

Gauge Transformation Gauge Invariance Massless Scalar Krein Space Renormalization Procedure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. Allen: Phys. Rev. D 32:3136 (1985).ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    B. Allen and A. Folacci: Phys. Rev. D 35:3771 (1987).ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    J. Bros, J.-P. Gazeau and U. Moschella: Phys. Rev. D 73:1746 (1994).ADSMathSciNetGoogle Scholar
  4. 4.
    J. Bros and U. Moschella: Rev. Math. Phys. 8:327 (1996).MathSciNetCrossRefGoogle Scholar
  5. 5.
    S. De Bièvre and J. Renaud: Phys. Rev. D 57:6230 (1998).ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    J.-P. Gazeau, J. Renaud and M.V. Takook: arXiv:gr-qc/9904023.Google Scholar
  7. 7.
    G. Morchio, D. Pierotti and F. Strocchi: J. Math. Phys. 31:1467 (1990).ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    G. Morchio, D. Pierotti and F. Strocchi: J. Math. Phys. 33:777 (1991).ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    U. Moschella: Ann. Inst. Henri Poincaré 63:411 (1995).MathSciNetGoogle Scholar
  10. 10.
    R.F. Streater and A.S. Wightman: PCT, Spin and Statistics, and all that. W.A. Benjamin, New York, 1964..MATHGoogle Scholar
  11. 11.
    F. Strocchi: Selected topics on the general properties of quantum field theory. In: Lecture notes in physics 51, World Scientific, Singapore, 1993.Google Scholar

Copyright information

© Birkhäuser Verlag 2007

Authors and Affiliations

  • Marco Bertola
    • 1
  • Francesco Corbetta
    • 2
  • Ugo Moschella
    • 2
    • 3
  1. 1.Department of Mathematics and StatisticsConcordia UniversityMontrealCanada
  2. 2.Dipartimento di Fisica e MatematicaUniversità dell’InsubriaComoItalia
  3. 3.INFNSez. di MilanoMilanoItalia

Personalised recommendations