All about the static fermion bags in the Gross-Neveu model

Annals of Physics

Volumn 309, Issue 1, 2004, Pages 166-231

  Feinberg, Joshua ^a,b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF HAIFA   (Israel)

Author keywords

Bag model; Gross Neveu; Inverse scattering; Large N; Solitons

Indexed keywords

EID: 0347662396     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aop.2003.08.004     Document Type: Article

References (63)

1. R.F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev. D 12 (1975) 2443.
2. S. Shei, Phys. Rev. D 14 (1976) 535.
3. L.D. Faddeev, L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons, Springer, Berlin, 1987.
4. L.D. Faddeev, J. Sov. Math. 5 (1976) 334, This paper is reprinted in L.D. Faddeev, 40 Years in Mathematical Physics, World Scientific, Singapore, 1995. In Section 2.2 of that paper there is a brief discussion of some aspects of the inverse scattering problem for the Dirac equation (1.6).
5. S. Novikov, S.V. Manakov, L.P. Pitaevsky, V.E. Zakharov, Theory of Solitons - The Inverse Scattering Method, Consultants Bureau, New York, 1984 (Contemporary Soviet Mathematics).
6. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291.
7. R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739.
8. R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694.
9. R. Friedberg, T.D. Lee, Phys. Rev. D 16 (1977) 1096.
10. A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
11. W.A. Bardeen, M.S. Chanowitz, S.D. Drell, M. Weinstein, T.M. Yan, Phys. Rev. D 11 (1974) 1094.
12. M. Creutz, Phys. Rev. D 10 (1974) 1749.
13. D.J. Gross, A. Neveu, Phys. Rev. D 10 (1974) 3235.
14. Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122 (1961) 345.
15. Y. Nambu, G. Jona-Lasinio, Phys. Rev. 124 (1961) 246.
16. C.G. Callan, S. Coleman, D.J. Gross, A. Zee, unpublished. This work is described by D.J. Gross in Methods in Field Theory, R. Balian, J. Zinn-Justin (Eds.), Les-Houches session XXVIII 1975, North-Holland, Amsterdam, 1976.
17. H.B. Thacker, C. Quigg, J.L. Rosner, Phys. Rev. D 18 (1978) 274.
18. J.F. Schonfeld, W. Kwong, J.L. Rosner, C. Quigg, H.B. Thacker, Ann. Phys. 128 (1980) 1.
19. W. Kwong, J.L. Rosner, Prog. Theor. Phys. (Suppl.) 86 (1986) 366.
20. J.L. Rosner, Ann. Phys. 200 (1990) 101.
21. A.K. Grant, J.L. Rosner, J. Math. Phys. 35 (1994) 2142, and references therein.
22. S. Chandrasekhar, The Mathematical Theory of Black Holes, Oxford University Press, New York, 1992, Chapter 4.
23. B. Zwiebach, JHEP 0009:028,2000. Available from ;
24. J.A. Minahan and B. Zwiebach, JHEP 0009:029,2000. Available from ;
25. JHEP 0103:038,2001. Available from ;
26. JHEP 0102:034,2001 Available from .
27. J. Goldstone, R. Jackiw, Phys. Rev. D 11 (1975) 1486.
28. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251 (1995) 267.
29. Supersymmetry in Quantum Mechanics, World Scientific, Singapore, 2001.
30. See e.g. A. Klein, Phys. Rev. D 14 (1976) 558.
31. R. Pausch, M. Thies, V.L. Dolman, Z. Phys. A 338 (1991) 441.
32. V. Schön, M. Thies, 2d model field theories at finite temperature and density, in: M. Shifman (Ed.), At the Frontiers of Particle Physics - Handbook of QCD, vol. 3, World Scientific, Singapore, 2001. Available from .
33. J. Feinberg, Phys. Rev. D 51 (1995) 4503.
34. J. Feinberg, Nucl. Phys. B 433 (1995) 625.
35. I.M. Gel'fand, L.A. Dikii, Russian Math. Surveys 30 (1975) 77.
36. J. Feinberg, A. Zee, Phys. Rev. D 56 (1997) 5050.
37. J. Feinberg, A. Zee, Int. J. Mod. Phys. A 12 (1997) 1133.
38. J. Feinberg, A. Zee, Generalized supersymmetric quantum mechanics and reflectionless fermion bags in 1 + 1 dimensions, in: M. Olshanetsky, A. Vainshtein (Eds.), Multiple Facets of Quantization and Supersymmetry, the Michael Marinov Memorial Volume, World Scientific, Singapore, 2003. Available from .
39. J. Feinberg, A. Zee, Phys. Lett. B 411 (1997) 134.
40. I. Kosztin, S. Kos, M. Stone, A.J. Leggett, Phys. Rev. B 58 (1998) 9365.
41. S. Kos, M. Stone, Phys. Rev. B 59 (1999) 9545.
42. J. Feinberg, Phys. Lett. B 569 (2003) 204, Available from .
43. J.M. Cornwal, R. Jackiw, E. Tomboulis, Phys. Rev. D 10 (1974) 2428.
44. S. Hikami, E. Brézin, J. Phys. A (Math. Gen.) 12 (1979) 759.
45. H.J. de Vega, Commun. Math. Phys. 70 (1979) 29.
46. J. Avan, H.J. de Vega, Phys. Rev. D 29 (1984) 2891, 1904.
47. R. MacKenzie, F. Wilczek, A. Zee, Phys. Rev. Lett 53 (1984) 2203.
48. J.-L. Gervais, B. Sakita, Phys. Rev. D. 11 (1975) 2943.
49. J.-L. Gervais, A. Jevicki, B. Sakita, Phys. Rev. D. 12 (1975) 1038.
50. N.H. Christ, T.D. Lee, Phys. Rev. D. 12 (1975) 1606.
51. M. Creutz, Phys. Rev. D. 12 (1975) 3126.
52. E. Tomboulis, Phys. Rev. D. 12 (1975) 1678.
53. E. Witten, Nucl. Phys. B 142 (1978) 285 (see in particular, Section 3).
54. R. Jackiw, C. Rebbi, Phys. Rev. D 13 (1976) 3398.
55. J. Goldstone, F. Wilczek, Phys. Rev. Lett. 47 (1981) 986.
56. J. Goldstone, F. Wilczek, See also Eq. (4.44) of R. Aviv, A. Zee, Phys. Rev. D 5 (1972) 2372.
57. A.J. Niemi, G.W. Semenoff, Phys. Rep. 135 (1986) 99.
58. E. Witten, Nucl. Phys. B 160 (1979) 57.
59. E. Witten, Nucl. Phys. B 185 (1981) 513.
60. E. Witten, Nucl. Phys. B 202 (1982) 253.
61. S. Coleman, Phys. Rev. D 11 (1975) 2088.
62. S. Mandelstam, Phys. Rev. D 11 (1975) 3026.
63. H. Georgi, Lie Algebras in Particle Physics, second ed., Perseus Books, Reading, 1999 (see in particular, Chapters 21-23).