Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions

Communications in Mathematical Physics

Volumn 252, Issue 1-3, 2004, Pages 167-187

  Spencer, T ^a   Zirnbauer, M R ^b  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11244283406     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1223-3     Document Type: Article

References (13)

1. [B] Brascamp, H., Lieb, E.: On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Func. Anal. 22, 366-389 (1976)
2. [D] Disertori, M., Pinson, H., Spencer, T.: Density of states of random band matrices. Commun. Math. Phys. 232, 83-124 (2002)
3. [E] Efetov, K.B.: Supersymmetry and theory of disordered metals. Adv. Phys. 32, 53-127 (1983)
4. [E1] Efetov, K.B.: Supersymmetry in disorder and chaos. Cambridge: Cambridge University Press, 1987
5. [F] Fyodorov, Y.V.: Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation. Nucl. Phys. B 621, 643-674 (2002)
6. [FM] Fyodorov, Y.V., Mirlin, A.D.: Scaling properties of localization in random band matrices: a σ-model approach. Phys. Rev. Lett. 67, 2405-2409 (1991)
7. [H] Helgason, S.: Differential geometry, Lie groups and symmetric spaces. New York: Academic Press, 1978
8. [N] Niedermaier, M., Seiler, E.: Non-amenability and spontaneous symmetry breaking - the hyperbolic spin-chain. http://arxiv.org/abs/hep-th/0312293, 2003;
9. Duncan, A., Niedermaier, M., Seiler, E.: Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma models. http://arxiv.org/abs/hep-th/ 0405163, 2004
10. [S] Schäfer, L., Wegner, F.: Disordered system with n orbitals per site: Lagrange formulation, hyperbolic symmetry, and Goldstone modes. Z. Phys. B 38, 113-126 (1980)
11. [W] Wegner, F.: The mobility edge problem: continuous symmetry and a conjecture. Z. Phys. B 35, 207-210 (1979)
12. [W1] Wegner, F.J.: Disordered system with n orbitals per site: n = ∞ limit. Phys. Rev. B 19, 783-792 (1979)
13. [Z] Zirnbauer, M.R.: The supersymmetry method of random-matrix theory. http://arxiv.org/abs/math-ph/0404057, 2004