The asymptotic behavior of the order parameter-order parameter correlation function for charged superfluid systems
Article
Received:
- 26 Downloads
Abstract
By means of a suitable set of Ward Identities we investigate the structure of the order parameter-order parameter correlation function for charged boson and fermion systems with breakdown of gauge symmetry. As a consequence of the long-range behavior of the Coulomb potential, the Goldstone mode is pushed up to the plasma frequency but the order parameter-order parameter correlation function still exhibits a singularity atk=0. These results are derived for temperatures at which analyticity aroundk=0, ω=0 of vertices involved in the Ward Identities is verified.
Keywords
Correlation Function Asymptotic Behavior Magnetic Material Gauge Symmetry Plasma Frequency
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.N. N. Bogolubov,Quasi Averages in Statistical Mechanics (Dubna preprint, 1963) (in Russian); H. Wagner,Z. Physik 195, 273 (1966).Google Scholar
- 2.R. V. Lange,Phys. Rev. Letters 14, 3 (1965).Google Scholar
- 3.Y. Nambu,Phys. Rev. 117, 648 (1960); see also P. C. Martin, inSuperconductivity, R. O. Parks, ed. (Marcel Dekker, New York, 1969), Vol. 2, and references quoted therein.Google Scholar
- 4.S. K. Ma and C. W. Woo,Phys. Rev. 159, 165 (1967).Google Scholar
- 5.J. A. Swieca,Commun. Math. Phys. 4, 1 (1967); see also D. Kastler, D. W. Robinson, and J. A. Swieca,Commun. Math. Phys. 2, 108 (1964).Google Scholar
- 6.J. Gavoret and P. Nozieres,Ann. Phys. (N.Y.)28, 349 (1964); K. Huang and A. Klein,Ann. Phys. (N.Y.)30, 203 (1964); K. Keher,Physica 33, 620 (1967).Google Scholar
- 7.P. C. Martin,Phys. Rev. 161, 143 (1967).Google Scholar
- 8.P. C. Martin and C. De Dominicis,J. Math. Phys. 5, 14 (1964); G. Jona-Lasinio,Nuovo Cimento 34, 1790 (1964).Google Scholar
- 9.G. Parisi and M. Testa,Nuovo Cimento 67A, 13 (1970).Google Scholar
- 10.L. P. Kadanoff and G. Baym,Quantum Statistical Mechanics (Benjamin, New York, 1962), Chap. 5.Google Scholar
- 11.M. Revzen,Phys. Rev. Letters 22, 1239 (1969).Google Scholar
- 12.N. N. Bogolubov,Physica 26, S1 (1960).Google Scholar
- 13.G. Jona-Lasinio,Acta Phys. Acad. Sci. Hung. XIX, 139 (1965).Google Scholar
- 14.P. Nozieres,Theory of Interacting Fermi Systems (Benjamin, New York, 1964).Google Scholar
- 15.F. de Pasquale, A. Tenenbaum, and P. Tombesi, to be published.Google Scholar
- 16.F. de Pasquale and E. Tabet,Ann. Phys. (N.Y.)51, 223 (1969).Google Scholar
- 17.B. D. Josephson,Phys. Letters 21, 608 (1966); G. Baym, inMathematical Methods in Solid State and Superfluid Theory, Scottish Universities Summer School, St. Andrews, 1967 (Oliver and Boyd, Edinburgh, 1969).Google Scholar
- 18.L. Laplae and H. Umezawa,Nuovo Cimento 44, 410 (1966).Google Scholar
- 19.P. C. Hohenberg and P. C. Martin,Phys. Rev. Letters 12, 69 (1964); P. C. Hohenberg and P. C. Martin,Ann. Phys. (N.Y.)34, 291 (1965).Google Scholar
- 20.D. Pines,International Symposium on Quantum Fluids, University of Sussex, 16–20 August 1965; R. D. Etters,Phys. Rev. Letters 16, 119 (1966).Google Scholar
Copyright information
© Plenum Publishing Corporation 1971