A solution to the Goldstein problem and the possibility of dynamical chiral symmetry breaking

The Goldstein equation is carefully analyzed by introducing a cutoff to clarify the physical meaning of the continuous spectrum. The solution belonging to the continuous spectrum is shown to represent the renormalized vertex function. It is also shown that no cutoff-independent discrete spectrum exi...

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Bibliographic Details
Published in:Nuclear physics. B 1976-01, Vol.113 (1), p.173-188
Main Authors: Higashijima, Kiyoshi, Nishimura, Akitoshi
Format: Article
Language:English
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Summary:The Goldstein equation is carefully analyzed by introducing a cutoff to clarify the physical meaning of the continuous spectrum. The solution belonging to the continuous spectrum is shown to represent the renormalized vertex function. It is also shown that no cutoff-independent discrete spectrum exists, whereas the cutoff-dependent one does. On the basis of these results, the possibility of the Nambu-Goldstone realization of chiral symmetry is examined in the vector gluon model. The appearance of the Nambu-Goldstone boson seems to be impossible at least in the ladder approximation except for the model of Englert et al.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(76)90460-0