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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A $P\left ( \phi \right )$ quantum field theory
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by Lon Rosen PDF
Bull. Amer. Math. Soc. 76 (1970), 819-824
References
  • James Glimm, Boson fields with the $:\Phi ^{4}:$ interaction in three dimensions, Comm. Math. Phys. 10 (1968), 1–47. MR 231601
  • 2. J. Glimm and A. Jaffe, A $łambda \phi ^{4}$ quantum field theory without cutoffs. I, Phys. Rev. 176 (1968), 1945-1951. 3. J. Glimm and A. Jaffe, A $łambda \phi ^{4}$ quantum field theory without cutoffs, II, Ann. of Math, (to appear). 4. J. Glimm and A. Jaffe, A $łambda \phi ^{4}$ quantum field theory without cutoffs. III, Ann. of Math, (to appear).
  • Rudolf Haag and Daniel Kastler, An algebraic approach to quantum field theory, J. Mathematical Phys. 5 (1964), 848–861. MR 165864, DOI 10.1063/1.1704187
  • Mark Kac, Probability and related topics in physical sciences, Lectures in Applied Mathematics (Proceedings of the Summer Seminar, Boulder, Colorado, vol. 1957, Interscience Publishers, London-New York, 1959. With special lectures by G. E. Uhlenbeck, A. R. Hibbs, and B. van der Pol. MR 0102849
  • 7. M. Naimark, Normed rings, GITTL, Moscow, 1956; English transl., Noordhoff, Groningen, 1964. MR 19, 870; MR 34 #4928.
  • 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 $łambda \phi ^{2n}$ field theory without cutoffs, Comm. Math. Phys. 16 (1970), 157-183.
  • Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a $C^{\ast }$-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178–1183. MR 214344, DOI 10.1073/pnas.57.5.1178
  • 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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Additional Information
  • 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