Skip to main content
Log in

A cut-off generalized Yukawa model

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. A. Jaffe, O. E. Lanford, III, and A. Wightmaa, “A general class of cut-off model field theories,” Commun. Math. Pays.,15, 47 (1969).

    Google Scholar 

  2. J. Glimm and A. Jaffe, “Quantum field models,” in: Statistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora (editors), Gordon and Breach, New York (1971).

    Google Scholar 

  3. J. Glimm and A. Jaffe, “Self-adjointness of the Yukawa2 Hamiltonian,” Ann. Phys.,60, 321 (1970).

    Google Scholar 

  4. R. Höegh-Krohn, “On the scattering operator for quantum fields,” Commun. Math. Phys.,18, 109 (1970).

    Google Scholar 

  5. L. Rosen, “The (ϕ2n)2 quantum field theory: higher order estimates,” Commun. Pure Appl. Math.,24, 417 (1971).

    Google Scholar 

  6. L. Rosen, “The ϕ 2n2 quantum field theory: Lorentz covariance,” J. Math. Anal. Applic.,38, 276 (1972).

    Google Scholar 

  7. Y. Kato and N. Mugibayashi, “Regular perturbation and asymptotic limits of operators in quantum field theory,” Prog. Theor. Phys.,30, 103 (1963).

    Google Scholar 

  8. J. Glimm and A. Jaffe, “The λ(ϕ4)2 quantum field theory without cut-offs. II. The field operators and the approximate vacuum,” Ann. Math.,91, 362 (1970).

    Google Scholar 

  9. J. Dimock, “Spectrum of local Hamiltonians in the Yakawa field theory,” J. Math. Phys.,13, 477 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 3, pp. 393–399, May–June, 1976.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zolotaryuk, A.V., Yakymiv, Y.M. A cut-off generalized Yukawa model. Ukr Math J 28, 305–309 (1976). https://doi.org/10.1007/BF01089182

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01089182

Keywords

Navigation