Information metric on instanton moduli spaces in nonlinear σ models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 2 2, 2004, Pages

  Yahikozawa, Shigeaki ^a  

^a RIKKYO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FERROMAGNETIC MATERIALS; HALL EFFECT; LAGRANGE MULTIPLIERS; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; QUANTUM THEORY; STATISTICAL METHODS; TOPOLOGY; VECTORS;

CURVATURES; HYPERBOLIC METRICS; INFORMATION METRICS; MODULI SPACES;

INFORMATION ANALYSIS;

EID: 42749103206     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.026122     Document Type: Article

References (22)

1. J.L. Jacobson, N. Read, and H. Saleur, Phys. Rev. Lett. 90, 090601 (2003).
2. A.G. Abanov and P.B. Wiegmann, Phys. Rev. Lett. 86, 1319 (2001).
3. J. Cardy, Phys. Rev. Lett. 84, 3507 (2000).
4. A. Kamenev, Phys. Rev. Lett. 85, 4160 (2000).
5. V. Gurarie and A. Migdal, Phys. Rev. E 54, 4908 (1996).
6. A. Patrascioiu and E. Seiler, Phys. Rev. Lett. 74, 1920 (1995).
7. S. Amari, Differential-Geometrical Methods in Statistics, Lecture Notes in Statistics Vol. 28 (Springer-Verlag, Berlin, 1985), p. 1.
8. S. Amari and H. Nagaoka, Methods of Information Geometry (AMS/Oxford University Press, New York, 2000).
9. G. Ruppeiner, Rev. Mod. Phys. 67, 605 (1995).
10. R. Balian, Y. Alhassid, and H. Reinhardt, Phys. Rep. 131, 1 (1986).
11. G. Ruppeiner, Phys. Rev. A 24, 488 (1981).
12. W. Janke, D.A. Johnston, and R. Kenna, Phys. Rev. E 67, 046106 (2003).
13. W. Janke, D.A. Johnston, and Ranasinghe P.K.C. Malmini, Phys. Rev. E 66, 056119 (2002).
14. D. Brody and N. Rivier, Phys. Rev. E 51, 1006 (1995).
15. H. Janyszek and R. Mrugała, Phys. Rev. A 39, 6515 (1989).
16. N.J. Hitchin, Lect. Notes Math. 1451, 1 (1988).
17. D. Groisser and M.K. Murray, Ann. Global Anal. Geom. 15, 519 (1997).
18. M. Blau, K.S. Narain, and G. Thompson, e-print arXiv:hep-th/0108122.
19. M.K. Murray, Exp. Math. 2, 271 (1993)
20. A. D'Adda, M. Lüsher, and P. Di Vecchia, Nucl. Phys. B 146, 63 (1978).
21. K. Furuta, T. Inami, and M. Yamamoto, e-print arXiv:hep-th/0211129.
22. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).