Non-gaussian non-hermitian random matrix theory: Phase transition and addition formalism

Nuclear Physics B

Volumn 501, Issue 3, 1997, Pages 643-669

  Feinberg, Joshua ^a   Zee, A ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031583545     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00419-7     Document Type: Article

References (49)

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36. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
37. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
38. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
39. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
40. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
41. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
42. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
43. [18] There are many papers on chiral matrices. A partial list which concentrates on gaussian ensembles: J.J.M. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J.J.M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70 (1993) 3852; K. Slevin and T. Nagao, Phys. Rev. Lett. 70 (1993) 635; Phys. Rev. B 50 (1994) 2380; T. Nagao and K. Slevin, J. Math. Phys. 34 (1993) 2075, 2317; T. Nagao and P. J. Forrester, Nucl. Phys. B 435 (FS) (1995) 401; A.V. Andreev, B.D. Simons and N. Taniguchi, Nucl. Phys. B 432 (1994) 485; S. Hikami and A. Zee, Nucl. Phys. B 446 (1995) 337; S. Hikami, M. Shirai and F. Wegner, Nucl. Phys. B 408 (1993) 415; C.B. Hanna, D.P. Arovas, K. Mullen and S.M. Girvin, cond-mat 9412102.
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