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A $P\left( \phi \right)$ quantum field theory


Author: Lon Rosen
Journal: Bull. Amer. Math. Soc. 76 (1970), 819-824
MSC (1970): Primary 8146; Secondary 2846, 4790
DOI: https://doi.org/10.1090/S0002-9904-1970-12567-8
MathSciNet review: 0263368
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  • 1. James Glimm, Boson fields with the :Φ⁴: interaction in three dimensions, Comm. Math. Phys. 10 (1968), 1–47. MR 0231601
  • 2. J. Glimm and A. Jaffe, A $łambda \phi\sp{4}$ quantum field theory without cutoffs. I, Phys. Rev. 176 (1968), 1945-1951.
  • 3. J. Glimm and A. Jaffe, A $łambda \phi\sp{4}$ quantum field theory without cutoffs, II, Ann. of Math, (to appear).
  • 4. J. Glimm and A. Jaffe, A $łambda \phi\sp{4}$ quantum field theory without cutoffs. III, Ann. of Math, (to appear).
  • 5. Rudolf Haag and Daniel Kastler, An algebraic approach to quantum field theory, J. Mathematical Phys. 5 (1964), 848–861. MR 0165864, https://doi.org/10.1063/1.1704187
  • 6. Mark Kac, Probability and related topics in physical sciences, With special lectures by G. E. Uhlenbeck, A. R. Hibbs, and B. van der Pol. Lectures in Applied Mathematics. Proceedings of the Summer Seminar, Boulder, Colo., vol. 1957, Interscience Publishers, London-New York, 1959. MR 0102849
  • 7. M. Naimark, Normed rings, GITTL, Moscow, 1956; English transl., Noordhoff, Groningen, 1964. MR 19, 870; MR 34 #4928.
  • 8. Edward Nelson, A quartic interaction in two dimensions, Mathematical Theory of Elementary Particles (Proc. Conf., Dedham, Mass., 1965) M.I.T. Press, Cambridge, Mass., 1966, pp. 69–73. MR 0210416
  • 9. L. Rosen, A $łambda \phi \sp{2n}$ field theory without cutoffs, Comm. Math. Phys. 16 (1970), 157-183.
  • 10. Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a 𝐶*-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178–1183. MR 0214344
  • 11. R. F. Streater and A. S. Wightman, PCT, spin and statistics, and all that, W. A. Benjamin, Inc., New York-Amsterdam, 1964. MR 0161603
  • 12. A Wightman, An introduction to some aspects of the relativistic dynamics of quantized fields, Cargèse Lectures in Theoretical Physics: Application of Mathematics to Problems in Theoretical Physics, Gordon and Breach, New York, 1967. MR 37 #1125.

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DOI: https://doi.org/10.1090/S0002-9904-1970-12567-8