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The construction and decomposition of quantum fields using operator theory, probability and fiber bundles

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Part of the Lecture Notes in Mathematics book series (LNM,volume 650)

Keywords

  • Positive Borel Measure
  • Mass Renormalization
  • Wave Function Renormliization
  • Commun Math Phys
  • Unique Global Minimum

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Bibliography

  1. J. Fröhlich, Schwinger Functions and their generating functionals II, Adv. Math, to appear.

    Google Scholar 

  2. J. Fröhlich, B. Simon, Pure states for general ρ(ϕ)2 theoreies: construction, regularity and variational equality. Ann, Math to appear.

    Google Scholar 

  3. J. Fröhlich, B. Simon and T. Spencer, Infrared bounds, phase transitions and continuous symmetry breaking. Commun. Math. Phys 50, 79–95 (1976)

    CrossRef  Google Scholar 

  4. J. Glimm and A. Jaffe, Two and three body equations in quantum field theory. Commun Math Phys. 44, 293–275 (1975)

    CrossRef  MathSciNet  Google Scholar 

  5. —, Critical exponents and elementary particles. Commun. Math. Phys. 52, 203–210 (1976).

    CrossRef  MathSciNet  Google Scholar 

  6. —, In: 1976 Cargèse lectures

    Google Scholar 

  7. —, Quark trapping for lattice U(1) gauge theories. Physics letters 66B, 67–69 (1977).

    Google Scholar 

  8. —, Instantons in a U(1) lattice gauge theory. Preprint.

    Google Scholar 

  9. J. Glimm, A. Jaffe and T. Spencer, In: Constructive quantum field theory, G. Velo and A. Wightman (eds.) Springer lecture notes in physics vol. 25, Springer-Verlag, 1973.

    Google Scholar 

  10. —, Phase transitions for ϕ4 quantum fields, Commun. Math. Phys. 45, 203–216 (1975).

    CrossRef  MathSciNet  Google Scholar 

  11. —, A convergent expansion about mean field theory I,II. Ann. Phys. 101, 610–669 (1976).

    CrossRef  MathSciNet  Google Scholar 

  12. O. McBryan, Volume dependence of Schwinger functions in the Yukawa quantum field theory. Commun. Math. Phys. 45, 279–294 (1975).

    CrossRef  MathSciNet  Google Scholar 

  13. O. McBryan and T. Spencer, On the decay of correlations in symmetric ferromagnets. Commun. Math. Phys., 53, 299–302 (1977).

    CrossRef  MathSciNet  Google Scholar 

  14. Park, Uniform bounds on the pressure of the ϕ 43 field model. J. Math. Phys. 17, 1073–1075. (1976).

    CrossRef  Google Scholar 

  15. J. Rosen, Mass renormalization of the ϕ4 Euclidean field theories. Adv. Math., to appear.

    Google Scholar 

  16. R. Schrader, A possible constructive approach to ϕ 44 III. 50, 97–102 (1976).

    MathSciNet  Google Scholar 

  17. E. Seiler, Schwinger functions for the Yukawa model in two dimensions with space time cutoff. Commun. Math. Phys. 42, 163–182 (1975).

    CrossRef  MathSciNet  Google Scholar 

  18. E. Seiler and B. Simon, Nelson's symmetry and all that in Yukawa and φ 43 field theories, Ann. Phys. 97, 470–518 (1976).

    CrossRef  MathSciNet  Google Scholar 

  19. B. Simon and R. Griffiths, The ϕ 42 field theory as a classical Ising model. Commun. Math. Phys. 33, 145–164 (1973).

    CrossRef  MathSciNet  Google Scholar 

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© 1978 Springer-Verlag

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Glimm, J. (1978). The construction and decomposition of quantum fields using operator theory, probability and fiber bundles. In: Araki, H., Kadison, R.V. (eds) C*-Algebras and Applications to Physics. Lecture Notes in Mathematics, vol 650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067389

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  • DOI: https://doi.org/10.1007/BFb0067389

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08762-5

  • Online ISBN: 978-3-540-35850-3

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