Fermion bags in the massive Gross-Neveu model

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 411, Issue 1-2, 1997, Pages 134-140

  Feinberg, Joshua ^a   Zee, A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001053788     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00993-3     Document Type: Article

References (18)

1. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291; R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739; R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694; 16 (1977) 1096; A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
2. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291; R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739; R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694; 16 (1977) 1096; A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
3. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291; R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739; R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694; 16 (1977) 1096; A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
4. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291; R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739; R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694; 16 (1977) 1096; A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
5. T.D. Lee, G. Wick, Phys. Rev. D 9 (1974) 2291; R. Friedberg, T.D. Lee, R. Sirlin, Phys. Rev. D 13 (1976) 2739; R. Friedberg, T.D. Lee, Phys. Rev. D 15 (1976) 1694; 16 (1977) 1096; A. Chodos, R. Jaffe, K. Johnson, C. Thorn, V. Weisskopf, Phys. Rev. D 9 (1974) 3471.
6. W.A. Bardeen, M.S. Chanowitz, S.D. Drell, M. Weinstein, T.M. Yan, Phys. Rev. D 11 (1974) 1094; M. Creutz, Phys. Rev. D 10 (1974) 1749.
7. W.A. Bardeen, M.S. Chanowitz, S.D. Drell, M. Weinstein, T.M. Yan, Phys. Rev. D 11 (1974) 1094; M. Creutz, Phys. Rev. D 10 (1974) 1749.
8. R. MacKenzie, F. Wilczek, A. Zee, Phys. Rev. Lett. 53 (1984) 2203, and references therein.
9. D.J. Gross, A. Neveu, Phys. Rev. D 10 (1974) 3235.
10. J. Feinberg, A. Zee, preprint cond-mat/9603173. Reflectionlessness of the Dirac operator as a necessary condition is discussed in Section 2. Here we sketch how this comes about. Fermion bilinears such as the current can be determined from the resolvent R(x, ω) defined in the text, which can in turn be determined in terms of the Jost functions of the Hamiltonian h _.
11. J. Feinberg, Phys. Rev. D 51 (1995) 4503.
12. C.G. Callan, S. Coleman, D.J. Gross, A. Zee, unpublished; D.J. Gross, in: Methods in Field Theory, R. Balian, J. Zinn-Justin, Eds., Les-Houches session XXVIII 1975 (North-Holland, Amsterdam, 1976); A. Klein, Phys. Rev. D 14 (1976) 558; see also R. Pausch, M. Thies, V.L. Dolman, Z. Phys. A 338 (1991) 441.
13. C.G. Callan, S. Coleman, D.J. Gross, A. Zee, unpublished; D.J. Gross, in: Methods in Field Theory, R. Balian, J. Zinn-Justin, Eds., Les-Houches session XXVIII 1975 (North-Holland, Amsterdam, 1976); A. Klein, Phys. Rev. D 14 (1976) 558; see also R. Pausch, M. Thies, V.L. Dolman, Z. Phys. A 338 (1991) 441.
14. C.G. Callan, S. Coleman, D.J. Gross, A. Zee, unpublished; D.J. Gross, in: Methods in Field Theory, R. Balian, J. Zinn-Justin, Eds., Les-Houches session XXVIII 1975 (North-Holland, Amsterdam, 1976); A. Klein, Phys. Rev. D 14 (1976) 558; see also R. Pausch, M. Thies, V.L. Dolman, Z. Phys. A 338 (1991) 441.
15. C.G. Callan, S. Coleman, D.J. Gross, A. Zee, unpublished; D.J. Gross, in: Methods in Field Theory, R. Balian, J. Zinn-Justin, Eds., Les-Houches session XXVIII 1975 (North-Holland, Amsterdam, 1976); A. Klein, Phys. Rev. D 14 (1976) 558; see also R. Pausch, M. Thies, V.L. Dolman, Z. Phys. A 338 (1991) 441.
16. R.F. Dashen, B. Hasslacher, A. Neveu, Phys. Rev. D 12 (1975) 2443.
17. x → ± ∞m, ψ is not square integrable.
18. J. Feinberg, A. Zee, in preparation.