Advertisement

Il Nuovo Cimento A (1965-1970)

, Volume 105, Issue 8, pp 1081–1094 | Cite as

Convolutions of particle Green’s functions

  • C. G. Bollini
  • J. J. Giambiagi
Article

Summary

The use of Feynman causal function in the perturbative treatment of theS-matrix made the computation of convolutions an easy and well-known procedure for free-particle propagators. But the convolution of its components, like theδ and principal values among themselves, is very rarely looked upon. In field theories with higher-order equations of motion some of these convolutions appear as the fundamental ingredients. A discussion of these convolutions is explicitly done in the simplest examples.

PACS

12.90 - Miscellaneous theoretical ideas and models 

PACS

14.80 - Other and hypothetical particles 

PACS

14.80.Pb - Other (including tachyons) 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    D. G. Barci, C. G. Bollini andM. Roca:The tachyon propagator, preprint, Departamento de Física, Universidad Nacional de la Plata, Argentina, November 1990.Google Scholar
  2. [2]
    D. G. Barci, C. G. Bollini andM. Roca:Tachyons and higher-order wave equations, January, 1991.Google Scholar
  3. [3]
    I. S. Gradshteyn andI. M. Ryzhik:Table of Integral Series and Products (Academic Press, New York and London, 1965).Google Scholar
  4. [4]
    Bateman Manuscript Project:Table of Integral Transforms, Vol. II (Mc Graw-Hill Book Company, Inc., 1954).Google Scholar
  5. [5]
    Bateman Manuscript Project:Higher Transcendental Functions, Vol. I (McGraw-Hill Book Company, Inc., 1954), p. 211.Google Scholar
  6. [6]
    Bateman Manuscript Project:Table of Integral Transforms, Vol. II (Mc Graw-Hill Book Company, Inc., 1954), p. 251.Google Scholar

Copyright information

© Società Italiana di Fisica 1992

Authors and Affiliations

  • C. G. Bollini
    • 1
    • 2
    • 3
  • J. J. Giambiagi
    • 1
    • 4
  1. 1.Centro Brasileiro de Pesquisas FísicasCBPF/CNPqRio de JaneiroBrasil
  2. 2.Departamento de Física, Facultad de Ciencias Exactas y NaturalesUniversidad Nacional de La PlataArgentina
  3. 3.Comisión de Investigaciones Cientificas de la Provincia de Buenos AiresArgentina
  4. 4.Centro Latino Americano de FísicaCLAFRio de JaneiroBrasil

Personalised recommendations