Abstract
The mass spectrum of a nonlinear real scalar field was sought for using Ritz’s variational method. In the case of suitable renormalization 1, 2 or 3 finite values of rest mass were found. The different types of these excitations belong to different inequivalent representations of the field operators.
Резюме
В работе искался массовый спектр нелинейного реального скалярного поля вариационным методом Ритца. В случае соответствующей ренормализации найдены конечные значения массы покоя, равные 1, 2 или 3. Различные типы данных возбуждений принадлежат к различным неэквивалентным представлениям операторов поля.
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References
H. P. Dürr andW. Heisenberg, Z. Naturf.,16a, 726, 1961.
E. M. Henley andW. Thirring, Elementary Quantum Field Theory, New York, 1962.
I. Goldstone, Nuovo Cimento,19, 154, 1961;G. Marx, Acta Phys. Hung.,14, 27, 1962;G. Kuti andG. Marx, Acta Phys. Hung.,17, 125, 1964;G. Marx andG. Kuti, preprint Budapest, 1964;G. Kuti andG. Marx, Acta Phys. Hung.,19, 67, 1965.
J. v. Neumann, Math. Ann.,104, 570, 1931.
L. I. Schiff, Phys. Rev.,130, 458, 1963.
R. Haag andD. Kastler, J. of Math. Phys.,5, 848, 1964.
R. Haag, Brandeis University Summer Institute in Theoretical Physics, 353, 1960.
S. Kamefuchi andH. Umezava, Nuovo Cimento,31, 429, 1964.
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Mezei, F. Nonlinear model in quantum field theory. Acta Physica 25, 215–226 (1968). https://doi.org/10.1007/BF03157125
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DOI: https://doi.org/10.1007/BF03157125