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On quantization of non-linear relativistic field without recourse to perturbation theory

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Abstract

A new method of quantization of non-linear relativistic field based on separation of the concepts of energy and Hamiltonian is suggested. The proposed method allows the making of the vacuum a stationary state with zero eigenvalues of energy, momentum and charge, and to obtain the exact solutions without recourse to perturbation theory. Infinite integrals, if they appear, turn to be in the denominator and cause no difficulties. An application of this method is demonstrated by an example of a nontrivial relativistic model. Mass-spectrum andS-matrix have been obtained. Only exact solutions are used.

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Authors and Affiliations

  1. Institute for Space Research, Profsojuznaja 88, Moscow, USSR

    Yu. A. Rylov

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  1. Yu. A. Rylov
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Rylov, Y.A. On quantization of non-linear relativistic field without recourse to perturbation theory. Int J Theor Phys 6, 181–204 (1972). https://doi.org/10.1007/BF00672073

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  • DOI: https://doi.org/10.1007/BF00672073

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