Abstract:
Goldstone (Nuovo Cimento, 19, 154 (1961)) first considered an example of a quantum-field
theory with a degenerate ground state. In the present paper a detailed analysis is made
fromthis point of view of the simplest example of quantum-field theory in two-dimensional
space-time; the absence of nontrivial divergences enables one to dispense with renormal-
ization theory and the theory therefore gains in cogency and lucidity.
Citation:
L. G. Zastavenko, “On the ground state of the Hamiltonian in the simplest model of quantum-field theory”, TMF, 7:1 (1971), 20–29; Theoret. and Math. Phys., 7:1 (1971), 336–343
\Bibitem{Zas71}
\by L.~G.~Zastavenko
\paper On the ground state of the Hamiltonian in the simplest model of quantum-field theory
\jour TMF
\yr 1971
\vol 7
\issue 1
\pages 20--29
\mathnet{http://mi.mathnet.ru/tmf4242}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 7
\issue 1
\pages 336--343
\crossref{https://doi.org/10.1007/BF01028130}
Linking options:
https://www.mathnet.ru/eng/tmf4242
https://www.mathnet.ru/eng/tmf/v7/i1/p20
This publication is cited in the following 5 articles:
L. G. Zastavenko, “Strong coupling expansion for the ground-state functional in a model of the quantum theory of a scalar neutral field with self-interaction gφ4gφ4 in the case of two-dimensional spacetime”, Theoret. and Math. Phys., 26:2 (1976), 186–189
L. G. Zastavenko, “Reduction of the problem of calculating the class of infinite-multiplicity integrals in quantum field theory to the solution of an integral equation”, Theoret. and Math. Phys., 20:1 (1974), 660–666
L. G. Zastavenko, “Partial allowance for the self-interaction in a very simplf model of quantum field theory”, Theoret. and Math. Phys., 10:1 (1972), 38–41
L. G. Zastavenko, “Vacuum degeneracy of scalar charged field with self-interaction H′=g∫(φ∗φ)2dx in the case of one spatial degree of freedom”, Theoret. and Math. Phys., 8:3 (1971), 870–875
L. G. Zastavenko, “Regularization of the equations of the quantum theory for a scalar neutral field with selfinteraction in the case of two spatial degrees of freedom”, Theoret. and Math. Phys., 9:3 (1971), 1191–1198
Citation in format AMSBIB
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