Skip to main content
Log in

Asymptotic fields without ultraviolet cutoff in two-dimensional field theory models

  • 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. Y. Kato and N. Mugibayashi, “Regular perturbation and asymptotic limits of operators in quantum field theory,” Progress of Theoretical Physics,30, 103 (1963).

    Google Scholar 

  2. Y. Kato and N. Mugibayashi, “Asymptotic fields in model field theories I, λ(ϕ4)2 with a space cutoff,” Progress of Theoretical Physics,45, 628 (1971).

    Google Scholar 

  3. M. Aoki, Y. Kato and N. Mugibayashi, “Asymptotic fields in model field theories, II, cutoff Yukawa interaction,” Preprint (May, 1971).

  4. R. Hoegh-Krohn, “Asymptotic limits in some models of quantum field theory, I,” J. Math. Phys.,9, 2075 (1968).

    Google Scholar 

  5. R. Hoegh-Krohn, “Asymptotic limits in some models of quantum field theory, II,” J. Math. Phys.,10, 639 (1969).

    Google Scholar 

  6. R. Hoegh-Krohn, “Asymptotic fields in some models of quantum field theory, III,” J, Math. Phys.,11 185 (1970).

    Google Scholar 

  7. R. Hoegh-Krohn, “On the spectrum of the space cutoff: P(ϕ) Hamiltonian in two space-time dimensions,” Commun. Math. Phys.,21, 256 (1971).

    Google Scholar 

  8. Ya. M. Yakymiv, “Asymptotic fields for an approximated renormalized two-dimensional Yukawa model and the model: P(ϕ),” Preprint ITF-71-12P, Kiev (1971).

  9. Ya. M. Yakymiv, “Asymptotic fields for the approximated renormalized model: (: P(ϕϰ)(g); + Y(gℵ))2,” Preprint ITF-71-52P, Kiev (1971).

  10. J. Glimm and A. Jaffe, “Quantum field theory models,” Preprint (1971).

  11. L. Rosen, “A λϕ2N field theory without cutoffs,” Commun. Math. Phys.,16, 157 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 1, pp. 130–136, January–February, 1972.

In conclusion the author wishes to express his gratitude to V. P. Gachk for discussing the results of the paper and for valuable observations.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yakymiv, Y.M. Asymptotic fields without ultraviolet cutoff in two-dimensional field theory models. Ukr Math J 24, 109–113 (1972). https://doi.org/10.1007/BF01089135

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01089135

Keywords

Navigation