Letters in Mathematical Physics

, Volume 27, Issue 1, pp 73–80 | Cite as

An example of cancellation of infinities in the star-quantization of fields

  • Joseph Dito
Article

Abstract

Within the *-quantization framework, it is shown how to remove some of the divergences occurring in theλø 2 4 -theory by introducing aλ-dependent *-product cohomologically equivalent to the normal *-product.

Mathematics Subject Classifications (1991)

81T99 81T10 81T70 22E70 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Glimm, J. and Jaffe, A.,Quantum Physics: A Functional Integral Point of View, 2nd edn, Springer-Verlag, New York, 1987.Google Scholar
  2. 2.
    Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., and Sternheimer, D.,Ann. Phys. 111, 61, 111 (1978).Google Scholar
  3. 3.
    Flato, M. and Steinheimer, D., in J. A. Wolf, M. Cahen, and M. De Wilde (eds),Harmonic Analysis and Representations of Semi-Simple Lie Groups, D. Reidel, Dordrecht, 1980.Google Scholar
  4. 4.
    Dito, J.,Lett. Math. Phys. 20, 125 (1990).Google Scholar
  5. 5.
    Dito, J.,J. Math. Phys. 33, 791 (1992).Google Scholar
  6. 6.
    Glimm, J. and Jaffe, A.,Phys. Rev. 176, 1945 (1968).Google Scholar
  7. 7.
    Glimm, J. and Jaffe, A.,Ann. of Math. 91, 362 (1970).Google Scholar
  8. 8.
    Glimm, J. and Jaffe, A.,Acta Math. 125, 203 (1970).Google Scholar
  9. 9.
    Glimm, J. and Jaffe, A.,J. Math. Phys. 13, 1568 (1972).Google Scholar

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Joseph Dito
    • 1
  1. 1.Physique-MathématiqueUniversité de BourgogneDijonFrance

Personalised recommendations