Prog. Theor. Phys. Vol. 33 No. 2 (1965) pp. 256-263
Self-Consistent Mass Equation in the Theory of Spontaneous Breakdown of Symmetry
Department of Physics, Yamagata University, Koshirakawa, Yamagata
(Received November 9, 1964)
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).
DOI : 10.1143/PTP.33.256
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Citing Article(s) :
Progress of Theoretical Physics Vol. 33 No. 6 (1965) pp. 1089-1097
V-Strap Model for PS-PS Scattering and the Stabilities of Various Solutions
Akira Kanazawa and Naoki Tokuda