Universality near zero virtuality

Nuclear Physics B

Volumn 479, Issue 3, 1996, Pages 707-726

  Jackson, A D ^a   Sener M K ^a   Verbaarschot, J J M ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030592664     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00397-5     Document Type: Article

References (52)

1. [1] C.E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965); R. Haq, A. Pandey and O. Bohigas, Phys. Rev. Lett. 48 (1982) 1086.
2. [1] C.E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965); R. Haq, A. Pandey and O. Bohigas, Phys. Rev. Lett. 48 (1982) 1086.
3. [2] S. Deus, P.M. Koch and L. Sirko, Phys. Rev. E 52 (1995) 1146; H.D. Gräf et al., Phys. Rev. Lett. 69 (1992) 1296.
4. [2] S. Deus, P.M. Koch and L. Sirko, Phys. Rev. E 52 (1995) 1146; H.D. Gräf et al., Phys. Rev. Lett. 69 (1992) 1296.
5. [3] M.A. Halasz and J.J.M. Verbaarschot, Phys. Rev. Lett. 74 (1995) 3920.
6. [4] O. Bohigas, M. Giannoni and C. Schmidt, Phys. Rev. Lett. 52 (1984) 1; O. Bohigas, M. Giannoni, in: Mathematical and Computational Methods in Nuclear Physics, J.S. Dehesa et al., eds., Lecture notes in Physics, Vol. 209 (Springer, Berlin, 1984) p. 1; T. Seligman, J. Verbaarschot and M. Zirnbauer, Phys. Rev. Lett. 53 (1984) 215; T. Seligman and J. Verbaarschot, Phys. Lett. A 108 (1985) 183.
7. [4] O. Bohigas, M. Giannoni and C. Schmidt, Phys. Rev. Lett. 52 (1984) 1; O. Bohigas, M. Giannoni, in: Mathematical and Computational Methods in Nuclear Physics, J.S. Dehesa et al., eds., Lecture notes in Physics, Vol. 209 (Springer, Berlin, 1984) p. 1; T. Seligman, J. Verbaarschot and M. Zirnbauer, Phys. Rev. Lett. 53 (1984) 215; T. Seligman and J. Verbaarschot, Phys. Lett. A 108 (1985) 183.
8. [4] O. Bohigas, M. Giannoni and C. Schmidt, Phys. Rev. Lett. 52 (1984) 1; O. Bohigas, M. Giannoni, in: Mathematical and Computational Methods in Nuclear Physics, J.S. Dehesa et al., eds., Lecture notes in Physics, Vol. 209 (Springer, Berlin, 1984) p. 1; T. Seligman, J. Verbaarschot and M. Zirnbauer, Phys. Rev. Lett. 53 (1984) 215; T. Seligman and J. Verbaarschot, Phys. Lett. A 108 (1985) 183.
9. [4] O. Bohigas, M. Giannoni and C. Schmidt, Phys. Rev. Lett. 52 (1984) 1; O. Bohigas, M. Giannoni, in: Mathematical and Computational Methods in Nuclear Physics, J.S. Dehesa et al., eds., Lecture notes in Physics, Vol. 209 (Springer, Berlin, 1984) p. 1; T. Seligman, J. Verbaarschot and M. Zirnbauer, Phys. Rev. Lett. 53 (1984) 215; T. Seligman and J. Verbaarschot, Phys. Lett. A 108 (1985) 183.
10. [5] M.V. Berry, Proc. Roy. Soc. London A 400 (1985) 229.
11. [6] A.V. Andreev, O. Agam, B.D. Simons and B.L. Altshuler, Phys. Rev. Lett. 76 (1996) 3947.
12. [7] A.D. Stone, P.A. Mello, K.A. Muttalib and J.L. Pichard, in: Mesoscopic Phenomena in Solids, B.L. Altshuler, P.A. Lee and R.A. Webb, eds. (North-Holland, Amsterdam, 1991) Ch. 9, p. 369.
13. [8] S. Iida, H.A. Weidenmüller and J.A. Zuk, Ann. Phys. 200 (1990) 290.
14. [9] K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635.
15. [10] C.W.J. Beenakker, Phys. Rev. Lett. 70 (1193) 1155.
16. [11] K.B. Efetov, Adv. Phys. 32 (1983) 53.
17. [12] E. Brézin, in: Applications of Field Theory to Statistical Mechanics, Springer Lecture Notes in Physics, Vol. 216 (Springer, Berlin, 1984).
18. [13] J. Verbaarschot, H. Weidenmüller and M. Zirnbauer, Phys. Rep. 129 (1985) 367.
19. [14] A.D. Jackson and J.J.M. Verbaarschot, Phys. Rev. D 53 (1996) 7223.
20. [15] T. Wettig, A. Schäfer and H.A. Weidenmüller, Phys. Lett. B 367 (1996) 28.
21. [16] T. Banks and A. Casher, Nucl. Phys. B 169 (1980) 103.
22. [17] L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; A.J. McKane and M. Stone, Ann. Phys. 131 (1981) 36; Pruisken and L. Schäfer, Phys. Rev. Lett. 46 (1981) 490;
23. [17] L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; A.J. McKane and M. Stone, Ann. Phys. 131 (1981) 36; Pruisken and L. Schäfer, Phys. Rev. Lett. 46 (1981) 490;
24. [17] L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; A.J. McKane and M. Stone, Ann. Phys. 131 (1981) 36; Pruisken and L. Schäfer, Phys. Rev. Lett. 46 (1981) 490;
25. [18] H. Leutwyler and A. Smilga, Phys. Rev. D 46 (1992) 5607.
26. [19] A. Kocić and J. Kogut, Phys. Rev. Lett. 74 (1995) 3109; Nucl. Phys. B 455 (1995) 229.
27. [19] A. Kocić and J. Kogut, Phys. Rev. Lett. 74 (1995) 3109; Nucl. Phys. B 455 (1995) 229.
28. [20] D. Fox and P. Kahn, Phys. Rev. B 134 (1964) 1151.
29. [21] B. Bronk, J. Math. Phys. 6 (1965) 228.
30. [22] C. Tracy and H. Widom, Commun. Math. Phys. 161 (1994) 289.
31. [23] P.J. Forrester, Nucl. Phys. B 402 [FS] (1993) 709; T. Nagao and P.J. Forrester, Nucl. Phys. B 435 (1995) 401-420.
32. [23] P.J. Forrester, Nucl. Phys. B 402 [FS] (1993) 709; T. Nagao and P.J. Forrester, Nucl. Phys. B 435 (1995) 401-420.
33. [24] E. Brézin, S. Hikami and A. Zee, Nucl. Phys. B 464 (1996) 411.
34. [25] E. Brézin and A. Zee, Nucl. Phys. B 402 (1993) 613; C. Beenakker, Nucl. Phys. B 422 (1994) 515; G. Hackenbroich and H. Weidenmüller, Phys. Rev. Lett. 74 (1995) 4118.
35. [25] E. Brézin and A. Zee, Nucl. Phys. B 402 (1993) 613; C. Beenakker, Nucl. Phys. B 422 (1994) 515; G. Hackenbroich and H. Weidenmüller, Phys. Rev. Lett. 74 (1995) 4118.
36. [25] E. Brézin and A. Zee, Nucl. Phys. B 402 (1993) 613; C. Beenakker, Nucl. Phys. B 422 (1994) 515; G. Hackenbroich and H. Weidenmüller, Phys. Rev. Lett. 74 (1995) 4118.
37. [26] T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075; 34 (1993) 2317.
38. [26] T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075; 34 (1993) 2317.
39. [27] J. Verbaarschot, Phys. Rev. Lett. 72 (1994) 2531; Phys. Lett. B 329 (1994) 351; Nucl. Phys. B 427 (1994) 434.
40. [27] J. Verbaarschot, Phys. Rev. Lett. 72 (1994) 2531; Phys. Lett. B 329 (1994) 351; Nucl. Phys. B 427 (1994) 434.
41. [27] J. Verbaarschot, Phys. Rev. Lett. 72 (1994) 2531; Phys. Lett. B 329 (1994) 351; Nucl. Phys. B 427 (1994) 434.
42. [28] E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. A 560 (1993) 306; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852.
43. [28] E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. A 560 (1993) 306; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852.
44. [29] J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559.
45. [30] S. Chandrasekharan, in: Continuous Advances in QCD, A. Smilga, ed. (World Scientific, Singapore, 1994); S. Chandrasekharan and N. Christ, in: Melbourne 1995 Proceedings, Lattice '95 (1995) p. 527.
46. [30] S. Chandrasekharan, in: Continuous Advances in QCD, A. Smilga, ed. (World Scientific, Singapore, 1994); S. Chandrasekharan and N. Christ, in: Melbourne 1995 Proceedings, Lattice '95 (1995) p. 527.
47. [31] J.J.M. Verbaarschot, Phys. Lett. B 368 (1996) 137.
48. [32] A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys B 432 [FS] (1994) 487.
49. [33] M.A. Stephanov, Phys. Lett. B 375 (1996) 249.
50. [34] T. Guhr, J. Math. Phys. 32 (1991) 336.
51. [35] T. Guhr, Phys. Rev. Lett. 76 (1996) 2258.
52. [36] A. Zee, Law of addition in random matrix theory, cond-mat/9602146.