Abstract
The weakly coupled λΦ4 quantum field theory models in three space time dimensions exist and satisfy all the Wightman axioms.The mass operator \(M = (H^2 - \vec P^2 )^{1/2} \)has an isolated simple eigenvalue at zero and no spectrum in the interval (0, m) for some m > 0.
Supported in part by the National Science Foundation under Grant MPS 73–0537.
A. Sloan Foundation Fellow
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References
J. Glimm, Commun. Math. Phys. 10, 1 (1968).
K. Hepp, Théorie de la Renormalization, Lecture Notes in Physics, Vol. 2, Springer Verlag, Berlin 1969.
J. Fabrey, Commun. Math. Phys. 19, 1 (1970).
J.-P. Eckmann, K. Osterwalder, Helv. Phys. Acta 44, 864 (1971).
J.-P. Eckmann, Commun. Math. Phys. 25, 1 (1972).
J. Fabrey, Jour. Math. Phys. 14, 909 (1973).
J. Glimm, A. Jaffe, Fort. d. Physik 21, 327 (1973).
J. Feldman, Commun. Math. Phys. 37, 93 (1974).
Y. Park, Lattice Approximation of the (λΦ4-μΦ) 3 Field Theory in a Finite Volume, I.B.M. Preprint, and The λΦ4 3 Euclidean Quantum Field Theory in a Periodic Box, Yonsei University preprint.
J. Feldman, K. Osterwalder, The Wightman axioms and the mass gap for weakly coupled (Φ4) 3 quantum field theories, Harvard preprint
J. Glimm, A. Jaffe, T. Spencer, Annals of Math. 100, 585 (1974), and in G. Velo,A. S. Wightman (eds. ),Constructive Quantum Field Theory, Lecture Notes in Physics, Vol. 25, Springer Verlag, Berlin 1973.
T. Spencer, Commun. Math. Phys. 39, 77 (1974).
J. Dimock, Commun. Math. Phys. 35, 347 (1974) and The P(Φ)2 Green's functions: smoothness in the coupling constant, preprint.
J. Fröhlich, Helv. Phys. Acta 47, 265 (1974).
K. Osterwalder, R. Schrader, Commun. Math. Phys. 31, 83 (1973).
K. Osterwalder, R. Schrader, Axioms for Euclidean Green's functions II, preprint, to appear in Commun. Math. Phys.
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Feldman, J.S., Osterwalder, K. (1975). The Wightman axioms and the mass gap for weakly coupled (Φ4)3 quantum field theories. In: Araki, H. (eds) International Symposium on Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013314
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DOI: https://doi.org/10.1007/BFb0013314
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