Summary
A general equivalence between functional techniques and canonical quantization for a simple self-interacting scalar theory is proposed. Vacuum instability for the symmetric (〈φ〉=0) and non-symmetric cases is analysed in detail.
Riassunto
In questo articolo si formula un’equivalenza generale tra tecniche funzionali e quantizzazione canonica in una semplice teoria scalare autointeragente. La stabilità del vuoto per casi simmetrici e non simmetrici è analizzata in dettaglio.
Резюме
Предполагается общая эквивалентность между функциональной техникой и каноническим квантованием для простой самовзаимодействующей скалярной теории. Подробно анализируется неустойчивость вакуума для симметричного (〈φ〉=0) и несимметричного случаев.
Similar content being viewed by others
References
S. Symanzik:Commun. Math. Phys.,16, 48 (1970). See also:G. Jona-Lasinio:Nuovo Cimento,34, 1790 (1964);H. D. Dahmen andG. Jona-Lasinio:Nuovo Cimento A,52, 807 (1967).
J. M. Cornwall, R. Jackiw andE. Tomboulis:Phys. Rev. D,10, 2428 (1974).
Y. Nambu andG. Jona-Lasinio:Phys. Rev.,122, 348 (1961).
P. Castorina andM. Consoli:Phys. Lett. B,131, 351 (1983).
S. Coleman andE. Weinberg:Phys. Rev. D,7, 1888 (1973).
C. Itzykson andJ. B. Zuber:Quantum Field Theory (McGraw-Hill, New York, N.Y., 1980).
J. R. Finger andJ. E. Mandula:Nucl. Phys. B,199, 168 (1982).
K. Huang:Statistical Mechanics (J. Wiley and Sons, New York, N.Y., 1963), p. 421.
S. Coleman, R. Jackiw andH. D. Politzer:Phys. Rev. D,10, 2491 (1974).
Author information
Authors and Affiliations
Additional information
To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.
Переведено редакцией.
Rights and permissions
About this article
Cite this article
Castorina, P., Ciancitto, A. & Consoli, M. Particle condensates in quantum field theory. Nuov Cim A 82, 275–291 (1984). https://doi.org/10.1007/BF02773555
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02773555