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The\(g\varphi ^4 \) quantum field theory in the static ultra-local approximationquantum field theory in the static ultra-local approximation

Квантовая теория поля\(g\varphi ^4 \) в статическом ультралокальном приближениив статическом ультралокальном приближении

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Il Nuovo Cimento A (1965-1970)

Summary

We study the quantum theory of a neutral scalar field with interactions Lagrangian\(g\varphi ^4 \) in the static ultra-local approximation which can be obtained by crossing out the kinematical term in the Hamiltonian. The model is exactly solvable and we study in details the behaviour ofG 2(xy) as a function of the coupling constant.

Riassunto

Si esamina la teoria di un campo bosonico neutro con lagrangiana di interazione\(g\varphi ^4 \) nell'approssimazione statica ultralocale che si ottiene trascurando nell'hamiltoniana i termini cinetici. Tale modello è esattamente risolvibile e si studia il comportamento della funzione di GreenG 2(xy) in funzione della costante di accoppiamento.

Резюме

Мы исследуем квантовую теорию нейтрального скалярного поля с Лагранжианом взаимодействия\(g\varphi ^4 \) в статическом ультралокальном приближении, которое может быть получено с помощью зачеркивания кинематического члена в Гамильтониане. Предложенная модель точно решается. Мы подробно исследуем поведение функции ГринаG 2(xy) как функции постоянной связи.

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References

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Authors and Affiliations

  1. Istituto di Fisica dell'Università, Napoli

    E. R. Caianiello

  2. Laboratorio di Cibernetica del C.N.R., Arco Felice (Napoli)

    E. R. Caianiello

  3. Istituto di Fisica dell'Università, Salerno

    G. Scarpetta

Authors
  1. E. R. Caianiello
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  2. G. Scarpetta
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Caianiello, E.R., Scarpetta, G. The\(g\varphi ^4 \) quantum field theory in the static ultra-local approximationquantum field theory in the static ultra-local approximation. Nuov Cim A 22, 448–460 (1974). https://doi.org/10.1007/BF02790629

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  • DOI: https://doi.org/10.1007/BF02790629

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