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A remark on Yukawa plus boson selfinteraction in two space time dimensions

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Abstract

In this note we show how the results of Glimm and Jaffe [5, 6] on the Yukawa quantum field theory in two space time dimensions may be extended to the case where a boson selfinteraction term is added. Local fields are constructed which do not depend on any cut-off and which have the right (anti)-commutation properties for spacelike separated support of the test functions.

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References

  1. Dimock, J.: Field equations for theY 2 theory. Harvard University thesis. To appear.

  2. Glimm, J.: The Yukawa coupling of quantum fields in two dimensions. Commun. math. Phys.6, 61–76 (1967).

    Google Scholar 

  3. —— Boson fields with nonlinear selfinteraction in two dimensions. Commun. math. Phys.8, 18–28 (1967).

    Google Scholar 

  4. —— Jaffe, A.: A λΦ4 quantum field theory without cutoffs II. Ann. Math.91, 362–401 (1970).

    Google Scholar 

  5. —— —— Selfadjointness of theY 2 Hamiltonian. Ann. Phys.60, 321–383 (1970).

    Google Scholar 

  6. -- -- The Yukawa2 quantum field theory without cutoffs. To appear.

  7. -- -- “Field Theory Models”. Lecture notes delivered at the Summer School in Les Houches 1970. To appear.

  8. Kato, T.: Perturbation theory of linear operators. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  9. Rosen, L.: A λ(Φ2n)2 field theory without cutoffs. Commun. math. Phys.16, 157–183 (1970).

    Google Scholar 

  10. -- The (Φ2n)2 quantum field theory. Higher order estimates. Preprint.

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts

    Robert Schrader

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  1. Robert Schrader
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Supported in part by the Air Force Office of Scientific Research, Contract F 44620-70-C-0030.

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Schrader, R. A remark on Yukawa plus boson selfinteraction in two space time dimensions. Commun.Math. Phys. 21, 164–170 (1971). https://doi.org/10.1007/BF01646750

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  • DOI: https://doi.org/10.1007/BF01646750

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