Spontaneous symmetry breaking and the p→0 limit

Physical Review D

Volumn 65, Issue 10, 2002, Pages

  Consoli, M ^a  

^a INFN SEZIONE DI CATANIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; ELEMENTARY PARTICLE; ENERGY; GLUON; HYDRODYNAMICS; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; QUANTUM THEORY;

EID: 0037053215     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.105017     Document Type: Article

References (24)

1. For an intuitive picture see, for instance, M. Consoli and P.M. Stevenson, Int. J. Mod. Phys. A 15, 133 (2000).
2. P. M. Stevenson, in Proceedings of the Conference on "Violations of CPT and Lorentz invariance," Indiana, 2001 (World Scientific, Singapore, 2002), hep-ph/0109204.
3. R. Fernández, J. Fröhlich, and A. Sokal, Random Walks, Critical Phenomena and Triviality in Quantum Field Theory (Springer-Verlag, Berlin, 1992).
4. E. M. Lifshitz and L. P. Pitaevskji, Statistical Physics, Part 2 (Pergamon, New York, 1980), p. 85.
5. R. P. Feynman, Statistical Mechanics (Benjamin, New York, 1972). The two quotations are from pages 324 and 327.
6. To my knowledge, the idea of the vacuum as a quantum aether was first considered by Dirac, see P.A.M. Dirac, Nature (London) 24, 906 (1951). For a more recent approach, see, for instance, Ref. [7].
7. G.E. Volovik, Phys. Rep. 351, 195 (2001).
8. G.E. Volovik, Pis'ma Zh. Éksp. Teor. Fiz. 73, 182 (2001)
9. [JETP Lett. 73, 162 (2001)].
10. C. D. Froggat and H. B. Nielsen, Origin of Symmetry (World Scientific, Singapore, 1991).
11. M. Consoli, Phys. Lett. B 512, 335 (2001).
12. K. Symanzik, Commun. Math. Phys. 16, 48 (1970).
13. J. Alexandre, V. Branchina, and J. Polonyi, Phys. Lett. B 445, 351 (1999).
14. J. Polonyi (private communication).
15. J. Küster and G. Münster, Z. Phys. C 73, 551 (1997).
16. A. Griffin, Excitations in a Bose-Condensed Liquid (Cambridge University Press, Cambridge, England, 1993);
17. H. R. Glyde, Excitations in Liquid and Solid Helium (Clarendon, Oxford, 1994).
18. L.D. Landau, J. Phys. (Moscow) 5, 71 (1941). The original idea of the energy spectrum was later confirmed analytically by Ziman [17].
19. J.M. Ziman, Proc. R. Soc. London A219, 257 (1953).
20. M. Consoli, "A weak, attractive, long-range force in Higgs condensates," hep-ph/0112227.
21. H. Ezawa and M. Luban, J. Math. Phys. 8, 1285 (1967).
22. P. Cea, M. Consoli, and L. Cosmai, "Lattice measurement of the energy-gap in a spontaneously broken phase," hep-ph/0101219.
23. K. Jansen et al., Nucl. Phys. B322, 698 (1989).
24. P. Cea, M. Consoli, and L. Cosmai (unpublished).