Skip to main content
SpringerLink
Log in

Dewitt-Schwinger coefficients for projective and Grassmann manifolds

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. T. Appelquist and A. Chodos, Phys. Rev. Lett.,50, 141 (1983); T. Appelquist, A. Chodos, and E. Myers, Phys. Lett. B,127, 51 (1983); N. A. Voronov and Ya. I. Kogan, Pis'ma Zh. Eksp. Teor. Fiz.,38, 262 (1983); E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B,227, 252 (1983); P. Candelas and S. Weinberg, Nucl. Phys. B,237, 397 (1984).

    Google Scholar 

  2. R. Kantowski and K. Milton, Phys. Rev.,36, 3712 (1987); K. Kikkawa, K. Kuboto, S. Sawada, and M. Yamasaki, Nucl. Phys. B,226, 429 (1985).

    Google Scholar 

  3. I. L. Bukhbinder and S. D. Odintsov, Yad. Fiz.,46, 1233 (1987);48, 1155 (1988); S. D. Odintsov, Yad. Fiz.,46, 1803 (1987).

    Google Scholar 

  4. M. Gleiser, P. Jetzer, and M. Rubin, Phys. Rev. D,36, 2429 (1987); D. Birmingham, Phys. Rev. D,36, 3037 (1987); D. V. Vasilevich and N. N. Shtykov, Yad. Fiz.,48, 1165 (1988).

    Google Scholar 

  5. B. S. DeWitt, Dynamical Theory of Groups and Fields, London (1966); A. O. Barvinsky and G. O. Vilkovisky, Phys. Rep.,119, 1 (1985).

  6. A. Salam and J. Strathdee, Ann. Phys. (N.Y.),141, 316 (1982).

    Google Scholar 

  7. D. V. Vasilevich, V. D. Lyakhovskii, and N. N. Shtykov, “Algebraic aspects of Kaluza-Klein models,” Preprint F-34 [in Russian], Estonian Academy of Sciences, Tartu (1986).

    Google Scholar 

  8. V. D. Lyakhovskii and A. A. Bolokhov, Symmetry Groups and Elementary Particles [in Russian], State University, Leningrad (1983).

    Google Scholar 

  9. D. E. Littlewood, The Theory of Group Characters and Matrices Representations of Groups, Oxford University Press, Oxford (1940).

    Google Scholar 

  10. J. W. Milnor and J. D. Stasheff, Characteristic Classes (Annals of Math. Studies, Vol. 76), Princeton (1974).

  11. G. Girardi, A. Sciarrino, and P. Sorba, “Generalized Young tableaux and Kronecker products of SO(2n) representations,” Preprint LAPP-TH-45, Annecy-le-Vieux (1981).

  12. N. Bourbaki, Éléments de Mathématique, Vol. 34, Groupes et Algèbres de Lie, Hermann, Paris (1968), Chaps. 7 and 8; D. P. Zhelobenko and A. I. Shtern, Representations of Lie Groups [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  13. N. Bourbaki, Éléments de Mathématique, Vol. 34, Groupes et Algèbres de Lie, Hermann, Paris (1968), Chaps. 4–6.

    Google Scholar 

  14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

  15. D. P. Sorokin and V. I. Tkach, Fiz. Elem. Chastits. At. Yadra,18, 1035 (1987); I. Ya. Aref'eva and I. V. Volovich, Usp. Fiz. Nauk,146, 655 (1985).

    Google Scholar 

Download references

Authors
  1. D. V. Vasilevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. D. Lyakhovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. N. Shtykov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 1, pp. 3–13, April, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasilevich, D.V., Lyakhovskii, V.D. & Shtykov, N.N. Dewitt-Schwinger coefficients for projective and Grassmann manifolds. Theor Math Phys 83, 339–346 (1990). https://doi.org/10.1007/BF01019129

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019129

Keywords

Search

Navigation