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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. J. Glimm, Boson fields with non-linear self-interaction in two dimensions, Comm. Math. Phys. 8 (1968), 12-25. MR 231601
  • 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. R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Mathematical Phys. 5 (1964), 848-861. MR 29 #3144. MR 165864
  • 6. M. Kac, Probability and related topics in physical sciences, Lectures in Appl. Math., vol. I, Interscience, New York, 1959. MR 21 #1635. MR 102849
  • 7. M. Naimark, Normed rings, GITTL, Moscow, 1956; English transl., Noordhoff, Groningen, 1964. MR 19, 870; MR 34 #4928.
  • 8. E. Nelson, A quartic interaction in two dimensions, Mathematical Theory of Elementary Particles, (Proc. Conference, Dedham, Mass., 1965), M.I.T. Press, Cambridge, Mass., 1966, pp. 69-73. MR 35 #1309. MR 210416
  • 9. L. Rosen, A $łambda \phi \sp{2n}$ field theory without cutoffs, Comm. Math. Phys. 16 (1970), 157-183.
  • 10. I. Segal, Notes toward the construction of nonlinear relativistic quantum fields. I: The Hamiltonian in two space-time dimensions as the generator of a C, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178-1183. MR 35 #5195. MR 214344
  • 11. R. Streater and A. Wightman, PCT, spin and statistics, and all that, Benjamin, New York, 1964. MR 28 #4807. MR 161603
  • 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

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