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Prog. Theor. Phys. Vol. 33 No. 2 (1965) pp. 256-263
Self-Consistent Mass Equation in the Theory of Spontaneous Breakdown of Symmetry
Kin-ichi Ishida
Department of Physics, Yamagata University, Koshirakawa, Yamagata
(Received November 9, 1964)
Abstract:
In the simple models (Nambu model and Bose fields with the interaction Hamiltonian: λφ4 and λφ3), it is shown up to the lowest order of the coupling constant that the self-consistent mass equation is equivalent to the requirement that the energy expectation value of the trial vacuum state, in which the particle mass m is involved as the unknown parameter, takes the stationary value as the function of m, and that the minimum condition on the expectation value is written as df(m)/dm<1 for m satisfying the self-consistent mass equation m=f(m).
URL :
http://ptp.ipap.jp/link?PTP/33/256/
DOI : 10.1143/PTP.33.256
References:
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Y. Nambu and G. Jana-Lasinio, Phys. Rev. 122 (1961), 345[APS].
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M. Baker and S. L. Glashow, Phys. Rev. 128 (1962), 2462[APS].
-
S. L. Glashow, Phys. Rev. 130 (1963), 2132[APS].
- J. Goldstone, Nuovo Cim. 19 (1961), 154.
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E. Abers, F. Zachariasen and C. Zeemach, Phys. Rev. 132 (1963), 1831[APS].
-
R. E. Cutkosky and P. Tarjane, Phys. Rev. 132 (1963), 1354[APS].
-
R. E. Cutkosky and P. Tarjane, Phys. Rev. 133 (1964), B 1292[APS].
-
R. H. Capps, Phys. Rev. 132 (1963), 2749[APS];
ibid. 134 (1964), B 1396[APS].
- K. Ishida, Prog. Theor. Phys. 33 (1965), 151[PTP].
- K. Maki, Prog. Theor. Phys. 31 (1964), 698[PTP].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 33 No. 6 (1965) pp. 1089-1097
:
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V-Strap Model for PS-PS Scattering and the Stabilities of Various Solutions
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Akira Kanazawa and Naoki Tokuda
