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Regularization of the lee model through analytic continuation of operators

Регуляриэация модели Ли при помоши аналитического продолжения операторов

Il Nuovo Cimento A (1965-1970)

Summary

A procedure has been developed that allow us to obtain from the formal Hamiltonian of the Lee model witnY-interaction the renormalized Hamiltonian. The method is based on the analytic continuation of field operators.

Riassunto

Si sviluppa un metodo che ci permette di ottenere dall’hamiltoniana formale del modello di Lee, con interazioneY, l’hamiltoniana rinormalizzata. Il metodo è basato sul prolungamento analitico di operatori di campo.

Реэюме

Была раэвита процедура, которая поэволяет нам получить иэ формаль-ного Гамильтониана модели Ли сY вэаимодействием перенормированный Гамиль-тониан. Этот метод основывается на аналитическом продолжении операторов поля.

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References

  1. N. N. Bogoliubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields (New York, 1959);S. Schweber:An Introduction to Relativistic Quantum Theory (Evanston, Ill., 1961);J. D. Bjorken andS. D. Drell:Relativistic Quantum Fields (New York, 1965).

  2. F. A. Berezin:The Methods of Second Quantization (1966).

  3. E. R. Caianiello, F. Guerra andM. Marinaro:Nuovo Cimento,60 A, 713 (1969);M. Marinaro:Nuovo Cimento,9 A, 62 (1972);E. R. Caianiello:Combinatorics and renormalization in quantum field theory, in press,Frontiers in Physics (New York).

    Article  MathSciNet  ADS  Google Scholar 

  4. J. G. Valatin:Proc. Roy. Soc.,222, 93 (1954);225, 535 (1954);226, 254 (1954);W. Zimmermann:Comm. Math. Phys.,6, 161 (1967).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. T. D. Lee:Phys. Rev.,95, 1329 (1954);F. Y. Yndurain:Journ. Math. Phys.,7, 1133 (1966);9, 1423 (1968);F. Guerra:Nuovo Cimento,68 A, 258 (1970).

    Article  ADS  Google Scholar 

  6. F. Guerra andM. Marinaro:Nuovo Cimento,60 A, 756 (1969);F. Guerra:Nuovo Cimento,1 A, 523 (1971);E. R. Speer:Journ. Math. Phys.,9, 1404 (1968).

    Article  MathSciNet  ADS  Google Scholar 

  7. I. M. Gel’fand andG. E. Shilov:Generalized Functions, Vol.1 (New York, 1964).

  8. K. Yoshida:Functional Analysis (Berlin, 1968);T. Kato:Perturbation Theory for Linear Operators (Berlin, 1966).

  9. E. R. Caianiello:Nuovo Cimento,11, 492 (1954).

    Article  MATH  MathSciNet  Google Scholar 

  10. R. W. Johnson:Journ. Math. Phys.,11, 2161 (1970) and references quoted therein.

    Article  ADS  Google Scholar 

  11. F. Esposito andU. Esposito:Nuovo Cimento,6 A, 277 (1971).

    Article  ADS  Google Scholar 

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Marinaro, M., Mercaldo, L. & Scarpetta, G. Regularization of the lee model through analytic continuation of operators. Nuov Cim A 18, 615–634 (1973). https://doi.org/10.1007/BF02727580

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  • DOI: https://doi.org/10.1007/BF02727580

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