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Vacuum degeneracy of scalar charged field with selfinteraction $H'=g\int(\varphi^*\varphi)^2{dx}$ in the case of one spatial degree of freedom
L. G. Zastavenko^{}
Abstract:
The vacuum degeneration is studied in the quantum theory of a charged scalar
field with the selfinteraction $H'=g(\varphi^*\varphi)^2$ in the case of one spatial degree of freedom. Besides the Goldstone particle with the rest mass equal to zero, there is another particle with the nonzero rest mass, which decays into the even number of particles
with zero rest mass. Impossibility of the decay into the odd number of particles is connected
with the existence of a motion integral of the parity type; the particles with the
zero and nonzero rest mass belong to the eigenvalues of this integral equal to $+1$ and $1$ respectively.
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Theoretical and Mathematical Physics, 1971, 8:3, 870–875
Received: 04.08.1969 Revised: 20.02.1970
Citation:
L. G. Zastavenko, “Vacuum degeneracy of scalar charged field with selfinteraction $H'=g\int(\varphi^*\varphi)^2{dx}$ in the case of one spatial degree of freedom”, TMF, 8:3 (1971), 335–342; Theoret. and Math. Phys., 8:3 (1971), 870–875
Citation in format AMSBIB
\Bibitem{Zas71}
\by L.~G.~Zastavenko
\paper Vacuum degeneracy of scalar charged field with selfinteraction $H'=g\int(\varphi^*\varphi)^2{dx}$ in the case of one spatial degree of freedom
\jour TMF
\yr 1971
\vol 8
\issue 3
\pages 335342
\mathnet{http://mi.mathnet.ru/tmf4410}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 8
\issue 3
\pages 870875
\crossref{https://doi.org/10.1007/BF01029342}
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This publication is cited in the following articles:

L. G. Zastavenko, “Reduction of the problem of calculating the class of infinitemultiplicity integrals in quantum field theory to the solution of an integral equation”, Theoret. and Math. Phys., 20:1 (1974), 660–666

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