Chaos in M(atrix) theory

Chaos, solitons and fractals

Volumn 10, Issue 2, 1999, Pages 213-223

  Aref'eva, I Ya ^a   Medvedev, P B ^b   Rytchkov, O A ^c   Volovich, I V ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; QUANTUM THEORY;

HAMILTONIAN; MATRIX THEORY; SUPERSYMMETRIC YANG-MILLS THEORY;

MATRIX ALGEBRA;

EID: 0033075207     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00159-3     Document Type: Article

References (41)

1. C. M. Hull and P. K. Townsend, Nucl. Phys. B438(1995)109.
2. E. Witten, Nucl. Phys. B443(1995)85.
3. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, M Theory as a Matrix Model: a Conjecture, Phys. Rev. D55(1997)5112, hep-th/9610043.
4. B. de Wit, J. Hoppe and H. Nicolai, Nucl. Phys. B305 (1988)545.
5. B. de Wit, M. Luscher and H. Nicolai, Nucl. Phys. B 320 (1989) 135.
6. J. Fröhlich and J. Hoppe, On Zero-Mass Ground States in Super-Membrane Matrix Models, ITH-TH/96-53.
7. U. H. Danielsson, G. Ferretti and B. Sundborg, hep-th/9603081.
8. D. Kabat and P. Pouliot, hep-th/9603127.
9. L. Susskind, hep-th/9704080.
10. D. V. Anosov and V. I. Arnold (eds), Dynamical Systems, VINITI, Moscow, 1985.
11. Ya. G. Sinai, Introduction to Ergodic Theory, Fasis, Moscow, 1996.
12. J.-P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57(1987)617.
13. G. M. Zaslavskii, Stochasticity of Dynamical Systems, Nauka, Moscow, 1984.
14. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, Berlin, 1990.
15. M. Ohya, Complexities and their Applications to Characterization of Chaos, to appear in Int. J. Theor. Physics, 1997.
16. M. Lüscher, Nucl. Phys. B219(1983)233.
17. B. Simon Ann. Phys. 146(1983)209.
18. G. Z. Baseyan, S. G. Matinyan and G. K. Savvidi, JETP Lett. 29(1979)585.
19. B. V. Medvedev, Teor. Mat. Phys. 60(1984)224; 109(1996)406.
20. B. V. Medvedev, Teor. Mat. Phys. 60(1984)224; 109(1996)406.
21. B. V. Chirikov and D. L. Shepelyanskii, JETP Lett. 34(1981)164.
22. E.S. Nikolaevsky and L.N. Shchur, JETP Lett., 36 (1982) 218-220; JETP 58 (1983) 1.
23. E.S. Nikolaevsky and L.N. Shchur, JETP Lett., 36 (1982) 218-220; JETP 58 (1983) 1.
24. J. D. Barrow and J. Levin, gr-qc/9706065; J. D. Barrow, M. P. Dabrowski, hep-th/9711041.
25. D. V. Gal'tsov and M. S. Volkov, Phys. Lett. B256 (1991) 17.
26. N. Seiberg and E. Witten, Nucl. Phys. B426 (1994) 19; B431 (1994) 484.
27. N. Seiberg and E. Witten, Nucl. Phys. B426 (1994) 19; B431 (1994) 484.
28. M.-J. Giannoni, A. Voros and J. Zinn-Justin (eds.), Chaos and Quantum Physics, North-Holland, Amsterdam, 1991.
29. G. Casati and B. V. Chirikov (eds.), Quantum Chaos: between Order and Disorder, Cambridge Univ. Press, Cambridge, 1995.
30. K. Nakamura, Quantum Chaos, Cambridge University Press, Cambridge, 1995.
31. T. Kawabe and S. Ohta, Phys. Rev. D44(1991)1274.
32. O. Bogidas, M.-J. Giannoni and C. Schmit, Phys. Rev. Lett. 52(1984)1.
33. G. Jona-Lasinio, C. Presilla and F. Capasso, Phys. Rev. Lett. 68(1992)2269.
34. M. Srednicki, cond-mat/9605127.
35. H. B. Nielsen, H. H. Rugh and S. E. Rugh, chao-dyn/9605013, hep-th/9611128.
36. B. L. Altshuler and L. S. Levitov, cond-mat/9704122.
37. L. Salasnich, Mod. Phys. Lett. A12 (1997) 1473-1480, quant-ph/9706025.
38. L. Casetti, R. Gatto and M. Modugno, hep-th/9707054.
39. I. V. Volovich, D-branes, Black Holes and SU(∞) Gauge Theory, hep-th/9608137.
40. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A Large-N Reduced Model as Superstring, hep-th/9612115.
41. R. Dijkgraaf, E. Verlinde and H. Verlinde, 5D Black Holes and Matrix Strings, hep-th/9704018.