Shinsuke MOCHIZUKI NISHIGAKI
Ph.D., University of Tokyo

S.M. Nishigaki


Education:

1988    B. Sc. Statistical physics, Department of Pure and Applied Sciences, University of Tokyo

Advisor: R. Abe

1990    M. Sc., Theoretical Particle Physics, Institute for Nuclear Study, Department of Physics, University of Tokyo

Thesis: Path integral formulation of quantum gravity, and Coleman mechanism (in Japanese)

Advisor: M. Ninomiya

1993    Ph. D., Theoretical Particle Physics, Institute of Physics, Department of Physics, University of Tokyo

Thesis: Analyses of random geometric systems via double-scaled vector models

Advisor: T. Yoneya


Employment:

1994-95    Postdoctoral Fellow, Department of Physics, Technion, Haifa, Israel

1995-97    JSPS Postdoctoral Fellow, Niels Bohr Institute, Copenhagen, Denmark

1997-99    Nishina & JSPS Postdoctoral Fellow, ITP, University of California, Santa Barbara, USA

1999-00    JSPS Postdoctoral Fellow, Department of Physics, Tokyo Intitute of Technology, Japan

2000-01    JSPS Postdoctoral Fellow, Department of Physics & Astronomy, SUNY Stony Brook, USA

2001    Visiting Scientist, Department of Physics, Technion, Haifa, Israel

2001-03    Postdoctoral Fellow, Department of Physics, University of Connecticut, Storrs, USA

2003-    Associate Professor, Department of Material Science, Shimane University, Matsue, Japan


Field of Specialization: Theoretical Physics

Research Interests: Quantum Field Theory, Disordered System, Mathematical Physics



Shinsuke MOCHIZUKI NISHIGAKI


Publications and Citation List


Refereed Journals

  1. Nishigaki, S., Yoneya, T., "A nonperturbative theory of randomly branching chains'', Nuclear Physics B348 (1990) 787.

  2. Nishigaki, S., Yoneya, T., "The double scaling limit of O(N) vector models and the KP hierarchy'', Physics Letters B268 (1991) 35.

  3. Higuchi, S., Itoi, C., Nishigaki, S., Sakai, N., "Nonlinear renormalization group equation for matrix models", Physics Letters B318 (1993) 63.

  4. Nishigaki, S., "Scaling violation in O(N) vector models", Modern Physics Letters A9 (1994) 631.

  5. Higuchi, S., Itoi, C., Nishigaki, S., Sakai, N., "Renormalization group flow in one- and two-matrix models", Nuclear Physics B434 (1995) 283; Erratum: Nuclear Physics B441 (1995) 405.

  6. Nishigaki, S., "Wilsonian approximated renormalization group for matrix and vector models in 2 < d < 4", Physics Letters B376 (1996) 73.

  7. Eyal, G., Moshe, M., Nishigaki, S., Zinn-Justin, J., "The O(N) vector model in the large N limit revisited: multicritical points and double scaling limit", Nuclear Physics B470 (1996) 369.

  8. Nishigaki, S., "Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit", Physics Letters B387 (1996) 139.

  9. Akemann, G., Damgaard, P.H., Magnea, U., Nishigaki, S., "Universality of random matrices in the microscopic limit and the Dirac operator spectrum", Nuclear Physics B487 (1997) 721.

  10. Higuchi, S., Itoi, C., Nishigaki, S.M., Sakai, N., "Renormalization group approach to multiple-arc random matrix models'', Physics Letters B398 (1997) 123.

  11. Damgaard, P.H., Nishigaki, S.M., "Universal spectral correlators and massive Dirac operators'', Nuclear Physics B518 (1998) 495.

  12. Damgaard, P.H., Nishigaki, S.M., "Universal massive spectral correlators and QCD in three dimensions'', Physical Review D57 (1998) 5299.

  13. Akemann, G., Damgaard, P.H., Magnea, U., Nishigaki, S.M., "Multicritical microscopic spectral correlators of hermitian and complex matrices", Nuclear Physics B519 (1998) 682.

  14. Nishigaki, S.M., Damgaard, P.H., Wettig T., "Smallest Dirac eigenvalue distribution from random matrix theory", Physical Review D58 (1998) 087704.

  15. Nishigaki, S.M., "Level spacing distribution of critical random matrix ensembles", Physical Review E58 (1998) R6915.

  16. Nishigaki, S.M., "Level spacings at the metal-insulator transition in the Anderson Hamiltonians and multifractal random matrix ensembles", Physical Review E58 (1999) 2853.

  17. Nagao, T., Nishigaki, S.M., "Massive chiral random matrix ensembles at beta = 1 and 4 : Finite-volume QCD partition functions", Physical Review D62 (2000) 065006.

  18. Nagao, T., Nishigaki, S.M., "Massive chiral random matrix ensembles at beta = 1 and 4 : QCD Dirac operator spectra", Physical Review D62 (2000) 065007.

  19. Nagao, T., Nishigaki, S.M., "Massive random matrix ensembles at beta = 1 and 4 : QCD in three dimensions", Physical Review D63 (2001) 045011.

  20. Damgaard, P.H., Nishigaki, S.M., "Distribution of the k-th smallest Dirac operator eigenvalue", Physical Review D63 (2001) 045012.

  21. Nishigaki, S.M., "Comment on Dirac spectral sum rules for QCD in three dimensions", Physical Review D64 (2001) 018901.

  22. Nagao, T., Nishigaki, S.M., "Chiral Lagrangians from lattice gauge theories in the strong coupling limit", Physical Review D64 (2001) 014507.

  23. Nishigaki, S.M., Kamenev, A., "Replica treatment of non-Hermitian disordered Hamiltonians", Journal of Physics A35 (2002) 4571.

  24. Garcia-Garcia, A.M., Nishigaki, S.M., Verbaarschot, J.J.M., "Critical statistics for non-Hermitian matrices", Physical Review E66 (2002) 016132.

  25. Dunne, G.V., Kovner, A., Nishigaki, S.M., "Fundamental matter and the deconfining phase transition in 2+1D", Physics Letters B544 (2002) 215.

  26. Nishigaki, S.M., Gangardt, D.M., Kamenev, A., "Correlation functions of the BC Calogero-Sutherland model", Journal of Physics A36 (2003) 3137.

  27. Dunne, G.V., Nishigaki, S.M., "Two-color QCD in 3D at finite baryon density", Nuclear Physics B654 (2003) 445.

  28. Dunne, G.V., Nishigaki, S.M., "3D two-color QCD at finite temperature and baryon density", Nuclear Physics B670 (2003) 307.

  29. Nishigaki, S.M., "Quantum Theory of Gauge Fields" (in Japanese), Mathematical Sciences 45-2 (2007) 30.

  30. Nishigaki, S.M., "Chaos and Mattrices: Periodic Orbits/Sigma Model Correspondence" (in Japanese), Mathematical Sciences 48-7 (2010) 32.

  31. Nishigaki, S.M., "Level spacings of parametric chiral random matrices and two-color QCD with twisted boundary condition", Progress of Theoretical Physics 128 (2012) 1283.

  32. Nishigaki, S.M., "Universality crossover between chiral random matrix ensembles and twisted SU(2) lattice Dirac spectra", Physical Review D86 (2012) 114505.

  33. Nishigaki, S.M., "Accuracy and range of validity of the Wigner surmise for mixed symmetry classes in random matrix theory", Physical Review E86 (2012) 062102.

Essays

  1. Nishigaki, S.M., "Symmetry and Randomness" (in Japanese), Parity 21-5 (2006) 40.

Published Conference Proceedings

  1. Higuchi, S., Itoi, C., Nishigaki, S., Sakai, N., "Renormalization group approach to discretized gravity'', Presented at the 1st Pacific Winter School for Theoretical Physics, Sokcho, Korea, February 1993: Current Topics in Theoretical Physics, 96 (1994, Singapore: World Scientific Pub.).

  2. Higuchi, S., Itoi, C., Nishigaki, S., Sakai, N., "Large N renormalization group approach to matrix models", Presented at the 4th Wigner Symposium, Guadalajara, Mexico, August 1995: Proceedings to the 4th Wigner Symposium, 334 (1996, Singapore: World Scientific Pub.).

  3. Nishigaki, S.M., "Microscopic universality in random matrix models of QCD", Presented at the NATO Workshop on Theoretical Physics, Zakopane, Poland, June 1997: New Developments in Quantum Field Theory, 287 (1998, New York: Plenum Press).

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