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Nonperturbative solution of nonlinear field equations

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Il Nuovo Cimento B (1971-1996)

Summary

A new method of analysis of nonlinear field equations is presented. The method is nonperturbative. The coupling constant appears in the zeroth and all other approximations. The essential feature of the technique is that second-order equations are converted to generalized Riccati equations. Examples include the anharmonic oscillator, the Lane-Emden theory of stellar atmospheres and two cases of gauge fields.

Riassunto

Si presenta un metodo nuovo di analisi delle equazioni del campo nonlineare. Il metodo è non perturbativo. Le equazioni di second'ordine si trasformano in una forma generalizata dell'equazione di Riccati. Gli esempi includono l'oscillatore non armonico, l'equazione di Lane ed Emden e due equazioni del campo di gauge.

Резюме

Даст новыи метод анализа уравнении нелинейних полей. Метод не пертурбаций. Уравнения второго порядока транформиваются в форму обобщанного уравнения Риккати. Примеры заключают негармонимный осциллятор, уравнение Лейн-Эмден и два уравнения калиброчний полей.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Clemson University, 29634-1911, Clemson, SC

    P. B. Burt

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  1. P. B. Burt
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Additional information

A portion of this work was presented at the conference on High Energy Physics, Berkeley, 1986. Partial support by NATO Grant 729(83).

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Burt, P.B. Nonperturbative solution of nonlinear field equations. Nuov Cim B 100, 43–52 (1987). https://doi.org/10.1007/BF02829775

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  • DOI: https://doi.org/10.1007/BF02829775

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