Generalized Gell-Mann-Low theorem for relativistic bound states

Physical Review D

Volumn 65, Issue 2, 2002, Pages

  Weber, Axel ^a   Ligterink, Norbert E ^b  

^a UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

^b ECT   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; MOLECULAR MODEL; PHYSICS; QUANTUM MECHANICS;

EID: 0037080821     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.025009     Document Type: Article

References (40)

1. M. Gell-Mann and F. Low, Phys. Rev. 84, 350 (1951).
2. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
3. A. Weber, in Particles and Fields - Seventh Mexican Workshop, edited by A. Ayala, G. Contreras, and G. Herrera, AIP Conf. Proc. No. 531 (AIP, New York, 2000), hep-th/9911198.
4. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
5. E. E. Salpeter and H. A. Bethe, Phys. Rev. 84, 1232 (1951).
6. N. Nakanishi, Prog. Theor. Phys. (Suppl.) 43, 1 (1969);
7. N. Nakanishi, Prog. Theor. Phys. (Suppl.) 95, 1 (1988).
8. I. T. Todorov, Phys. Rev. D 3, 2351 (1971).
9. R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966).
10. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento 29, 380 (1963).
11. F. Gross, Phys. Rev. 186, 1448 (1969).
12. D. R. Phillips and S. J. Wallace, Few-Body Syst. 24, 175 (1998).
13. Yu. A. Simonov and J. A. Tjon, Ann. Phys. (N.Y.) 228, 1 (1993).
14. T. Nieuwenhuis, Ph.D. thesis, University of Utrecht, The Netherlands, 1995.
15. T. Nieuwenhuis and J. A. Tjon, Phys. Rev. Lett. 77, 814 (1996).
16. S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, Phys. Rep. 301, 299 (1998).
17. J. Carbonell, B. Desplanques, V. A. Karmanov, and J. F. Mathiot, Phys. Rep. 300, 215 (1998).
18. S. J. Brodsky, J. R. Hiller, and G. McCartor, Phys. Rev. D 60, 054506 (1999).
19. R. J. Perry, Ann. Phys. (N.Y.) 232, 116 (1994).
20. E. L. Gubankova and F. Wegner, Phys. Rev. D 58, 025012 (1998).
21. T. S. Walhout, Phys. Rev. D 59, 065009 (1999).
22. C. R. Ji, Phys. Lett. B 322, 389 (1994).
23. M. Mangin-Brinet and J. Carbonell, Phys. Lett. B 474, 237 (2000).
24. J. Hansper, Phys. Rev. D 62, 056001 (2000).
25. O. W. Greenberg, R. Ray, and F. Schlumpf, Phys. Lett. B 353, 284 (1995).
26. N. E. Ligterink and B. L. G. Bakker, hep-ph/0010167.
27. A. Weber, J. C. Lõpez Vieyra, C. R. Stephens, S. Dilcher, and P. O. Hess, hep-th/0011280.
28. G. C. Wick, Phys. Rev. 96, 1124 (1954);
29. R. E. Cutkosky, Phys. Rev. ibid. 96, 1135 (1954).
30. J. Goldstone, Proc. R. Soc. London A239, 267 (1957).
31. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One-and Two-Electron Atoms (Springer, Berlin, 1957).
32. F. Gross, Phys. Rev. C 26, 2203 (1982).
33. Technically, the static source belongs to the vacuum, so that the second diagram in Fig. 6, which appears to be a self-energy correction of the source, in fact contributes to the vacuum energy. Diagrammatically, the double line is not counted as an external line, consequently the second diagram is considered to be unlinked.
34. J. P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT, Cambridge, MA, 1986).
35. S. Okubo, Prog. Theor. Phys. 12, 603 (1954).
36. C. Savkli, J. A. Tjon, and F. Gross, Phys. Rev. C 60, 055210 (1999);
37. C. Savkli, J. A. Tjon, and F. Gross, Phys. Rev. C 61, 069901(E) (2000).
38. F. Gross, C. Savkli, and J. Tjon, Phys. Rev. D 64, 076008 (2001).
39. R. Rosenfelder and A. W. Schreiber, Phys. Rev. D 53, 3337 (1996).
40. S. Ahlig and R. Alkofer, Ann. Phys. (N.Y.) 275, 113 (1999).