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A model of pion condensation

Модель для конденсации пионов

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Il Nuovo Cimento A (1965-1970)

Summary

Conditions for pion condensation are stated which are based on well-known instabilities towards spontaneous break-down in indefinite-metric quantum field theories. We then discuss a dipole-ghost mechanism for condensation. A phenomenological model is described in which condensation could occur at 0.08 fm−3 via this mechanism.

Riassunto

Si stabiliscono condizioni per la condensazione dei pioni che si fondano su ben note instabilità nei confronti della rottura spontanea nelle teorie di campo quantiche in una metrica indefinita. Si discute poi un meccanismo a fantasmi di dipolo per la condensazione. Si decrive un modello fenomenologico in cui la condensazione può avvenire a 0.08 fm−3 con questo meccanismo.

Реэюме

Формулируются условия для конденсации пионов, которые основываются на хорощо иэвестных неустойчивостях относительно спонтанного нарущения в квантовых теориях поля с индефинитной метрикой. Затем мы обсуждаем механиэм дипольного духа для процесса конденсации. Описывается феноменологическая модель, в которой может иметь место конденсация при 0.08 fm−3 череэ рассмотренный механиэм.

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References

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  3. G. Bertsch andM. Johnson: Michigan State University preprint (1973). Their expression forn k may be obtained from eq. (3) by assumingG(−ω)=G*(ω), which amounts to dropping a principal value integral contribution ton k. Since the double-pole divergence occurs in the dropped term they must introduce more requirements in order to obtain a divergence. I am grateful to Dr.S. Bäckman for a useful discussion on this point.

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  6. H. A. Bethe: private communication. I am also indebted to Prof.H. A. Bethe for suggesting the calculation ofT be approached via eq. (6). An alternative model forT is given inH. A. Bethe andM. Johnson (to be published).

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Supported in part by the National Science Foundation.

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Blaha, S. A model of pion condensation. Nuov Cim A 25, 252–258 (1975). https://doi.org/10.1007/BF02729045

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  • DOI: https://doi.org/10.1007/BF02729045

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