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Differential Geometric Methods in Mathematical Physics pp 136–149Cite as

Regularity aspects of the quantized perturbative S-matrix in 4-dimensional space-time

  • III. Aspects Of Quantizations
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1139))

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References

  1. J. Schwinger (1958), “Selected papers on Quantum Electrodynamics” (Dover, New York)

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  2. P.A.M. Dirac (1958), “Principles of quantum mechanics”, 4th ed. (Oxford University Press), et seq.

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  3. S.M. Paneitz and I.E. Segal (1983), “Self-adjointness of the Fourier expansion of quantized interaction field Lagrangian”, Proc.Nat.Acad.Sci. USA 80, 4595–4598

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  5. I.E. Segal (1970), “Nonlinear functions of weak processes I”; Jour.Funct.Anal. 4, 404–456, and (1970), II, ibid. 6, 29–75

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  6. I.E. Segal (1970), “Construction of nonlinear quantum processes, I”, Ann.Math. 92, 462–481, and (1971) II, Invent.Math. 14,211–242

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  7. L. Garding and A.S. Wightman (1964), “Fields as operator-valued distributions in relativistic quantum theory”, Ark.Fys. 28, 129–184

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  8. I.E. Segal (1970), “Local noncommutative analysis”, in Problems in Analysis, ed. R.C. Gunning, Princ.Univ.Press, 111–130

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  9. N.S. Poulsen (1972), “on C∞-vectors and intertwining bilinear forms for representations of Lie groups”, Jour.Funct. Anal. 9, 87–120

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  10. S.M. Paneitz and I.E. Segal (1982), “Analysis in space-time bundles”, I: Journ.Funct.Anal. 47, 78–142 and II, ibid 49, 335–414.

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  1. M.I.T., 02139, Cambridge, MA, USA

    I. E. Segal

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  1. I. E. Segal
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Heinz-Dietrich Doebner Jörg-Dieter Hennig

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© 1985 Springer-Verlag

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Segal, I.E. (1985). Regularity aspects of the quantized perturbative S-matrix in 4-dimensional space-time. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074581

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  • DOI: https://doi.org/10.1007/BFb0074581

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15666-6

  • Online ISBN: 978-3-540-39585-0

  • eBook Packages: Springer Book Archive

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