Abstract
This talk describes results of a paper with the same title done jointly with H. Epstein and J. Fröhlich. Similar work has been done simultaneously and independently by J. Dimock, K. Osterwalder, and R. Sénéor, and since they also report at this conference I will not describe any of their methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Glimm, A. Jaffe, T. Spencer: The particle structure of the weakly coupled P(⌽)2 model and other applications of high temperature expansions, in: Constructive Quantum Field Theory, G. Velo, A. Wightman, eds., Springer Lecture Notes in Physics, Vol. 25, Berlin-Heidelberg-New-York 1973.
J. Glimm, A. Jaffe, T. Spencer: The Wightman axioms and particle structure in the P(⌽)2 quantum field model; Ann. Math. 100, 585 (1974).
T. Spencer: The decay of the Bethe-Salpeter kernel in P(⌽)2 quantum field models. Harvard 1975.
V. Glaser: On the equivalence of the Euclidean and Wightman formulation of field theory. Commun, math. Phys. 37, 257 (1974).
K. Osterwalder, R. Schrader: Axioms for Euclidean Green’s functions II. Commun. math. Phys. 42, 281 (1975).
J. Dimock: Asymptotic perturbation expansion in the P(⌽)2 quantum field theory: Commun. math. Phys. 35, 347 (1974).
H. Epstein, V. Glaser: Le rôle de la localité dans la renormalisation perturbative en théorie quantique des champs, in Statistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora Eds., Gordon and Breach, 1971. R. Stora Eds., The role of locality in perturbation theory Ann. Inst. Henri Poincaré 19, 211 (1973).
J. Bros, H. Epstein, V. Glaser: Local analycity properties of the n-particle scattering amplitude. Helv. Phys. Acta 45, 149 (1972).
K. Hepp: On the connection between the LSZ and Wightman quantum field theory. Commun. Math. Phys. 1, 95 (1965).
D. Ruelle: Connection between Wightman functions and Green Functions in p-space. I1 Nuovo Cimento, 19, 356 (1961).
J. Bros, H. Epstein, V. Glaser, R. Stora, n-point functions in local quantum field theory, to appear in proceedings Les Houches Summer Institute, D. Iagolnitzer ed. (1975).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Eckmann, JP. (1976). Asymptotic Perturbation Expansion for the S-matrix in P(⌽)2 Quantum Field Theory Models. In: Streit, L. (eds) Quantum Dynamics: Models and Mathematics. Acta Physica Austriaca, vol 16/1976. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8473-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-7091-8473-8_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-8475-2
Online ISBN: 978-3-7091-8473-8
eBook Packages: Springer Book Archive