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Non-holonomicity of the S matrix and Green functions in quantum field theory: A direct algebraic proof in some simple situations. (English) Zbl 0683.46054
Summary: A criterion of non-holonomicity of the S matrix and Green functions in some basic simple situations of relativistic quantum field theory, previously established in an indirect way or with supplementary assumptions, is reobtained from unitarity equations by a direct and general algebraic argument.

MSC:
46N99 Miscellaneous applications of functional analysis
81U20 \(S\)-matrix theory, etc. in quantum theory
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[1] Bros, J., Iagolnitzer, D.: Commun. Math. Phys.85, 197 (1982) · Zbl 0508.58042 · doi:10.1007/BF01254457
[2] Bros, J., Iagolnitzer, D.: Phys. Rev. D,27, 811 (1983) · doi:10.1103/PhysRevD.27.811
[3] Bros, J., Iagolnitzer, D.: Commun. Math. Phys.119, 31 (1988) · doi:10.1007/BF01217744
[4] Bros, J.: Pesenti, D.: J. Math. Pures Appl.62, 215 (1983)
[5] Iagolnitzer, D.: Fizika17 (3), 361 (1985)
[6] Iagolnitzer, D.: In: Algebraic analysis, Kashiwara, M., Kawai, T., (eds.), p. 217. Boston: Academic Press 1988
[7] Iagolnitzer, D.: Commun. Math. Phys.88, 235 (1983) · Zbl 0578.47006 · doi:10.1007/BF01209478
[8] Iagolnitzer, D.: Iagolnitzer, L.: Saclay preprint SPhT/88-215
[9] Iagolnitzer, L. in preparation
[10] Iagolnitzer, D., Magnen, J.: Commun. Math. Phys.110, 51 (1987),111, 81 (1987) · doi:10.1007/BF01209016
[11] Kashiwara, M., Kawai, T.: Complex Analysis. In: Microlocal calculus and relativistic quantum theory, Lecture Notes in Physics vol.126. Iagolnitzer, D. (ed.), p. 5. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0454.46034
[12] Kawai, T., Stapp, H. P.: Publ RIMS, Kyoto Univ. [Suppl.]12, 155 (1977)
[13] Kawai, T., Stapp, H. P.: Commun. Math. Phys.83, 213 (1982) · Zbl 0491.35066 · doi:10.1007/BF01976042
[14] Sato, M.: In: International symposium on mathematical problems in theoretical physics, Lecture Notes in Physics vol.39. Araki, H. (ed.), p. 13. Berlin, Heidelberg, New York: Springer 1975
[15] Sato, M., Kawai, T., Kashiwara, M.: In: Microfunctions and Pseudo-differential equations. Lecture notes in Mathematics, vol.287, p. 265. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0277.46039
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