Skip to main content
Log in

Axiomatic restrictions on scattering amplitudes of hadrons

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

Problems of expsrimental verification of the quantum field theoretical principles by experimental test of any one of physical corollaries of the axiomatic quantum field theory are shortly discussed. A selective review of available axiomatic restrictions on scattering amplitudes of hadrons is given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bogolyubov N. N.,Logunov A. A.,Todorov I. T., Osnovi aksiomaticheskoho podkhoda v kvantovoj teorii pclya, Moskva 1969.

  2. Mejman N. N., Zhurnal experim. i theoreticch. phiziki47 (1964), 1966.

    Google Scholar 

  3. Lomsadze Yu. M., Phizika visokikh energij i teoriya elementarnikh chastits, Kiev 1967.

  4. Lomsadze Yu. M., Preprint ITP-75-126 E, Kiev, 1975.

  5. Epstein H., Glaser V., Martin A., Commun, math. Phys.13 (1968), 257.

    Google Scholar 

  6. Lomsadze Yu. M.,Sabad E. P., Preprint ITP-73-17 E, Kiev 1973; Nucl. Phys.B 56 (1973), 145.

  7. Lomsadze Yu. M.,Agranovsky B. A.,Sabad E. P., Preprint ITP-73-112 E, Kiev 1973; Nucl. Phys.B 74 (1974), 536;

  8. Sabad E. P.,Lomsadze Yu. M.,Agranovsky B. A., Preprint ITP-73-152 P, Kiev 1973.

  9. Lomsadze Yu. M.,Kelemen V. I., Preprint ITP-73-177 E, Kiev 1973

  10. Lomsadze Yu. M., Kelemen V. I. Visnik akad. nauk Ukr. SSR12 (1976), 8.

    Google Scholar 

  11. Gasiorowicz S., Phizika elementarnikh chastits, Moskya 1969.

  12. Güttinger W., Nuovo Cim.10 (1958), 1; Fortsch. d. Phys.14 (1966), 483.

    Google Scholar 

  13. Jaffe A., Phys. Rev. Lett.11 (1966), 661; Phys. Rev.158 (1967), 1454; SIAM J. Appl. Math.15 (1967), 1046.

    Google Scholar 

  14. Fainberg V. Ya., Preprint FIAN No 137, Moscow, 1967.

  15. Iofa M. E., Fainberg V. Ya., Zhurnal experim. i theoretich. phiziki56 (1969), 1644; Theoret, i mathemat. phizika1 (1969), 187;Fainberg V. Ya.,Iofa M. Z.,Nuovo Cim.5A (1971), 273.

    Google Scholar 

  16. Fainberg V. Ya., in coll. Problemi teoreticheskoj phiziki, Mcskva 1972, 119.

  17. Solovyev M. A., Theoretich. i mathemat. phizika7 (1971), 189.

    Google Scholar 

  18. Taylor J. G., Ann. Phys.68 (1971), 484.

    Google Scholar 

  19. Bümmerstede J., Lüke W., Commun, math. Phys.37 (1974), 121.

    Google Scholar 

  20. Lomsadze Yu. M., Krivsky I. Yu., Shuba Yo. M., Ukr. phiz. zhurnal19 (1974), 538;20 (1975), 621;21 (1976), 1;21 (1976), 1409;22 (1977), 531;22 (1977), 745;22 (1977), 1959.

    Google Scholar 

  21. Lomsadze Yu. M.,Krivsky I. Yu.,Shuba Yo. M., Preprint ITP-74-130 E and 132 E, Kiev 1974.

  22. Sabad E. P.,Lomsadze Yu. M., Preprint ITP-75-49 E, Kiev 1975.

  23. Lomsadze Yu. M.,Sabad E. P.,Agranovsky B. A., Preprint ITP-74-115E, Kiev 1974; Ukr. mathemat. zhurnal 29 (1977), 172.

  24. Martin A., Cheung F., Analyticity properties and bounds of the scattering amplitudes, Gordon and Breach, New York-London-Paris 1970.

    Google Scholar 

  25. Jost R., Lehmann H., Nuovo Cim.5 (1957), 1958.

    Google Scholar 

  26. Dyson F. J., Phys. Rev.110 (1958), 1460.

    Google Scholar 

  27. Vladimirov V. S., Metodi teorii funktsij mnogikh kompleksnikh peremennikh, Moskva 1964.

  28. Lomsadze Yu. M.,Sabad E. P., Preprint ITP-78, Kiev 1978.

  29. Epstein H., Scient. Rept., CERN,7/1 (1968), 290.

    Google Scholar 

  30. Roy S. M., Phys. Repts.5 (1972), 126.

    Google Scholar 

  31. Eden R. J., Revs. Mod. Phys.43 (1971), 15.

    Google Scholar 

  32. Sommer G., Fortschr. Phys.18 (1970), 577.

    Google Scholar 

  33. Martin A., Lect. Notes in Phys.3 (1969).

  34. Yndurain F. J., Rev. Mod. Phys.44 (1972), 645.

    Google Scholar 

  35. Eden R. J., Acta Phys. Austr.40 (1974), 15.

    Google Scholar 

  36. Hepp K.,Epstein H., Analyticheskije svojstva amplitud rasseyaniya v kvantovoj teorii polya, Moskva 1971.

  37. Kinoshita T., High energy physics, Part II. Tokyo summer lectures in theor. phys., 1965, New York, Benjamin, Tokyo, Jyokabo 1966.

    Google Scholar 

  38. Eden R., Soudareniya elementarnikh chastits pri visokikh energiyakh, Moskva 1970.

  39. Martin A., Phys. Rev.129 (1963), 1432.

    Google Scholar 

  40. Jin Y. S., Martin A., Phys. Rev.135 B (1964), 1369.

    Google Scholar 

  41. Martin A., Nuovo Cim.29 (1963), 993.

    Google Scholar 

  42. Khuri N. N., Kinoshita T., Phys. Rev.137B (1965), 720

    Google Scholar 

  43. Khuri N. N., Kinoshita T., Phys. Rev.140B (1966), 706.

    Google Scholar 

  44. Vernov Yu. S., Zhurnal experim. i theoretich. phiziki50 (1956), 672;53 (1967), 191.

    Google Scholar 

  45. Lomsadze Yu. M., Kontrosh E. Eh., Tokar' S. S. Zhurnal experimentalynoj i theoret. phiziki55 (1968), 1266; Ukr. phiz. zhurnal14 (1969), 30.

    Google Scholar 

  46. Logunov A. A., Mestverishvtly M. A., Khrustalyev O. A., Phizika elementarnikh chastits i atomnoho yadra3 (1972), 3.

    Google Scholar 

  47. Vernov Yu. S., Mnatsakanova M. N., Theoret. i mathemat. phizika10 (1972), 33.

    Google Scholar 

  48. Lomsadze Yu. M.,Maglaperidze T. I., Preprint ITP-77-135 R, Kiev 1977.

  49. Lomsadze Yu. M., Preprint ITP-78, Kiev 1978.

  50. Glagolev V. V., Tolstov K. D., Phizika elementarnikh chastits i atomnoho yadra3 (1972), 65.

    Google Scholar 

  51. Bogolyubov N. N.,Medvedev B. V.,Polivanov M. K., Voprqsi teorii dispersionnikh sootnoshenij, Moskva 1958.

  52. Bros J, Epstein H., Glaser V., Nuovo Cim.31 (1964), 1265; Comm. math. Phys.I (1965), 240.

    Google Scholar 

  53. Elinek Yu. E.,Lomsadze Yu. M., Preprint ITP-72-102 R, Kiev 1972.

  54. Mnatsakanova M. N., Theoret. i mathemat. phizika14 (1973), 192.

    Google Scholar 

  55. Agranovsky B. A., Yad. phizika20 (1974), 1239.

    Google Scholar 

  56. Lomsadze Yu. M.,Kelemen V. I., Preprint ITP-74-88 R, Kiev 1974.

  57. Lomsadze Yu. M.,Medvedev S. Yu., Preprint ITP-73-172 R, Kiev 1973.

  58. Lomsadze Yu. M., Kontrosh E. Eh., Tokar' S. S., Ukr. phiz, zhurnal13 (1968), 1701.

    Google Scholar 

  59. Medvedev S, Yu., Lomsadze Yu. M., Nucl. Phys.B 46 (1972), 283.

    Google Scholar 

  60. Lomsadze Yu. M., Drobnich V. G., Ukr. phiz, zhurnal18 (1973), 994.

    Google Scholar 

  61. Vernov Yu. S., In coll. Aktualyniye problemi phiziki elementarnikh chastits. Mezhdunarodnaya shkola-seminar, Sochi 1974, Dubna 1975.

  62. Lomsadze Yu. M.,Kelemen V. I., Preprint ITP-74-109 R, Kiev 1974; Yad. phizika21 (1975), 1117.

  63. Kelemen V. I.,Lomsadze Yu. M., Preprint ITP-76-21 E, Kiev 1976.

  64. Carter A. A.,Carter G. R., Journal Preprint RL-73-024, HEP Division RPP (H), May 1973.

  65. Jorna S., McClure J. A., Nucl. Phys.B 13 (1969), 68.

    Google Scholar 

  66. Dumbrajs O. V., Staszel M., Nucl. Phys.B 88 (1975), 52.

    Google Scholar 

  67. Kelemen V. I.,Lomsadze Yu. M., Preprint ITP-75-49 E, Kiev 1975.

  68. Lomsadze Yu. M., Kelemen V. I., Dokladi akad. nauk Ukr. SSRA 3 (1975), 247.

    Google Scholar 

  69. Lomsadze Yu. M., Preprint ITP-75-192 E, Kiev 1975.

  70. Lomsadze Yu. M., Dokladi akad. nauk Ukr. SSRA 5 (1977).

  71. Lomsadze Yu. M., Visnik Akad. nauk Ukr. SSSR7 (1977).

  72. Lomsadze Yu. M., In coll, Protsessy mnozhestvennoho rozhdeniya i inklyuzivnye reaktsii pri vysokich energiyakh (materialy Medzhunarodnoho soveschaniya), Serpukhov, Institute of High Energy Physics, 1977, p. 205–251.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author is very indebted to E. P.Sabad, I. Yu.Krivsky, V. I.Kelemen, and Yu. A.Xaveri for the help offered to him during the preparation of this review. The author is especially indebted to Academician N. N.Bogolyubov for his approval of Theorem XXVIII before publishing it in Ref. [67], as well as to Prof. M. I.Podgoretsky (Dubna) and Prof. V. Ya.Fajnberg (Moscow) for numerous discussions of this theorem and Prof. Yu. M.Shirokov (Moscow) for a preciseful stimulating remark.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lomsadze, Y.M. Axiomatic restrictions on scattering amplitudes of hadrons. Czech J Phys 28, 248–272 (1978). https://doi.org/10.1007/BF01597215

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01597215

Keywords

Navigation