×

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
PDFBibTeX XMLCite
Full Text: DOI

References:

[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.