Phase structure of the O(n) model on a random lattice for n > 2

Nuclear Physics B

Volumn 483, Issue 3, 1997, Pages 535-551

  Durhuus, B ^a   Kristjansen, C ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b NORDITA   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031566125     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00574-3     Document Type: Article

References (31)

1. [1] V.G. Kniznik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988) 819.
2. [2] F. David, Mod. Phys. Lett. A 3 (1988) 1651.
3. [3] J. Distler and H. Kawai, Nucl. Phys. B 321 (1989) 509.
4. [4] F. David, Simplicial Quantum Gravity and Random Lattices, hep-th/9303127, Lectures given at the Les Houches Summer School on Gravitation and Quantizations, Session LVII, Les Houches, France, 1992; J. Ambjørn, Quantization of Geometry, hep-th/9411179, Lectures given at the Les Houches Summer School on Fluctuating Geometries in Statistical Mechanics and Field Theory, Session LXII, Les Houches, France, 1994.
5. [4] F. David, Simplicial Quantum Gravity and Random Lattices, hep-th/9303127, Lectures given at the Les Houches Summer School on Gravitation and Quantizations, Session LVII, Les Houches, France, 1992; J. Ambjørn, Quantization of Geometry, hep-th/9411179, Lectures given at the Les Houches Summer School on Fluctuating Geometries in Statistical Mechanics and Field Theory, Session LXII, Les Houches, France, 1994.
6. [5] J.L. Gervais and J.F. Roussel, Nucl. Phys. B 426 (1994) 140; Phys. Lett. B 338 (1994) 437; Nucl. Phys. B 478 (1996) 245, hep-th/9605105.
7. [5] J.L. Gervais and J.F. Roussel, Nucl. Phys. B 426 (1994) 140; Phys. Lett. B 338 (1994) 437; Nucl. Phys. B 478 (1996) 245, hep-th/9605105.
8. [5] J.L. Gervais and J.F. Roussel, Nucl. Phys. B 426 (1994) 140; Phys. Lett. B 338 (1994) 437; Nucl. Phys. B 478 (1996) 245, hep-th/9605105.
9. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
10. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
11. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
12. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
13. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
14. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
15. [6] C.F. Baillie and D.A. Johnston, Phys. Lett. B 286 (1992) 44; S.M. Catterall, J.B. Kogut and R.L. Renken, Phys. Lett. B 292 (1992) 277; J. Ambjørn, B. Durhuus, T. Jónsson and G. Thorleifsson, Nucl. Phys. B 398 (1993) 568; M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B 419 (1994) 665; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 (1994) 7; J.-P. Kownacki and A. Krzywicki, Phys. Rev. D 50 (1994) 1221; J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
16. [7] B. Durhuus, Nucl. Phys. B 426 (1994) 203.
17. [8] I. Kostov, Mod. Phys. Lett. A 4 (1989) 21.
18. [9] B. Duplantier and I. Kostov, Phys. Rev. Lett. 61 (1988) 1433.
19. [10] I. Kostov and M. Staudacher, Nucl. Phys. B 384 (1992) 459.
20. [11] B. Eynard and J. Zinn-Justin, Nucl. Phys. B 386 (1992) 55.
21. [12] B. Eynard and C. Kristjansen, Nucl. Phys. B 455 (1995) 577.
22. [13] B. Eynard and C. Kristjansen, Nucl. Phys. B 466 (1996) 463.
23. [14] I. Kostov, Nucl. Phys. B (Proc. Suppl.) 10A (1989) 295.
24. [15] E. Brezin, C. Itzykson, G. Parisi and J.-B. Zuber, Comm. Math. Phys. 59 (1978) 35.
25. [16] J. Ambjørn, J. Jurkiewicz and Yu. Makeenko, Phys. Lett. B 251 (1990) 517.
26. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.
27. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.
28. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.
29. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.
30. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.
31. [17] S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A 5 (1990) 1041; G.P. Korchemsky, Phys. Lett. B 296 (1992) 323; Mod. Phys. Lett. A 7 (1992) 3081; L. Alvarez-Gaumé, J.L.F. Barbon and C. Crnkovic, Nucl. Phys. B 394 (1993) 383; J.L.F. Barbon, K. Demeterfi, I.R. Klebanov and C. Schmidhuber, Nucl. Phys. B 440 (1995) 189; I.R. Klebanov and A. Hashimoto, Nucl. Phys. B 434 (1995) 264.