On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model

P. De Mottoni; E. Salusti

Annales de l'I.H.P. Physique théorique (1971)

  • Volume: 15, Issue: 4, page 351-360
  • ISSN: 0246-0211

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De Mottoni, P., and Salusti, E.. "On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model." Annales de l'I.H.P. Physique théorique 15.4 (1971): 351-360. <http://eudml.org/doc/75721>.

@article{DeMottoni1971,
author = {De Mottoni, P., Salusti, E.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {351-360},
publisher = {Gauthier-Villars},
title = {On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model},
url = {http://eudml.org/doc/75721},
volume = {15},
year = {1971},
}

TY - JOUR
AU - De Mottoni, P.
AU - Salusti, E.
TI - On a differential equation approach to quantum field theory : causality property for the solutions of Thirring's model
JO - Annales de l'I.H.P. Physique théorique
PY - 1971
PB - Gauthier-Villars
VL - 15
IS - 4
SP - 351
EP - 360
LA - eng
UR - http://eudml.org/doc/75721
ER -

References

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  1. [1] I.E. Segal, Non-linear semigroups, Annals of Mathematics, t. 78, 1963, p. 339-364. Zbl0204.16004MR152908
  2. I.E. Segal, Non-linear partial differential equations in quantum field theory, Symp. Appl. Math., t. XVII, 1965, p. 210-226. Zbl0152.23902MR202406
  3. I.E. Segal, Notes towards the construction of non-linear relativistic quantum fields, I, Proc. N. A. S., U. S. A., t. 57, 1967, p. 1178-1183. Zbl0162.57801MR214344
  4. [2] E. Salusti and A. Tesei, On a semigroup approach to quantum field equations, Nuovo Cimento, Série 11, Vol. 2A, p. 122-138. MR275807
  5. [3] R.F. Streater and A.S. Wightman, PCT, spin, statistic and all that, Benjamin, New York, 1964. Zbl0135.44305MR161603
  6. [4] A.S. Wightman, La théorie quantique locale et la théorie quantique des champs, Ann. Inst. Henri Poincaré, t. A 1, 1964, p. 403-420. Zbl0128.45803MR197086
  7. [5] F.E. Browder, Non-linear equations of evolution, Ann. of Math., t. 80, 1964, p. 485- 523. Zbl0127.33602MR173960
  8. [6] A.S. Wightman, Introduction to some aspects of the relativistic dynamics of quantized fields, Cargèse lectures, 1964, Gordon and Breach, 1965. 
  9. [7] M. Iannelli, A note on some non-linear non-contraction semigroups, Boll. U. M.I., t. 6, 1970, p. 1015-1025. Zbl0207.14001MR276822
  10. [8] N.N. Bogoliubov and D. Shirkov, Introduction to the theory of quantized fields, Interscience, New York, 1959. Zbl0088.21701MR110471

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