Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach

Nuclear Physics B

Volumn 477, Issue 2, 1996, Pages 465-488

  Holm, Christian ^a   Janke, Wolfhard ^a,b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

2D quantum gravity; Regge calculus

Indexed keywords

EID: 0030583435     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00372-0     Document Type: Article

References (45)

1. [1] J. Ambjørn, in: Proc. 1994 Les Houches Summer School, Session LXII, and references therein; J. Ambjørn, S. Jain and G. Thorleifsson, Phys. Lett. B 307 (1993) 34.
2. [1] J. Ambjørn, in: Proc. 1994 Les Houches Summer School, Session LXII, and references therein; J. Ambjørn, S. Jain and G. Thorleifsson, Phys. Lett. B 307 (1993) 34.
3. [2] V.G Knizhnik, A.M. Polyakov and A.B. Zamalodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. B 321 (1989) 509.
4. [2] V.G Knizhnik, A.M. Polyakov and A.B. Zamalodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. B 321 (1989) 509.
5. [2] V.G Knizhnik, A.M. Polyakov and A.B. Zamalodchikov, Mod. Phys. Lett. A 3 (1988) 819; F. David, Mod. Phys. Lett. A 3 (1988) 1651; J. Distler and H. Kawai, Nucl. Phys. B 321 (1989) 509.
6. [3] For a recent reviews, see P. Di Francesco, P. Ginsparg and J. Zinn-Justin, Phys. Rep. 254 (1995) 1; P. Ginsparg, Lectures given at Trieste summer school 1991, LA-UR-91-4101; hep-th/9112013; in: Proc. 1991 Summer School in High Energy Physics and Cosmology, ICTP Series in Theoretical Physics, Vol. 8, eds. E. Gava, K. Narain, S. Randjbar-Daemi, E. Sezgin and Q. Shafi (World Scientific, Singapore, 1992) p. 785.
7. [3] For a recent reviews, see P. Di Francesco, P. Ginsparg and J. Zinn-Justin, Phys. Rep. 254 (1995) 1; P. Ginsparg, Lectures given at Trieste summer school 1991, LA-UR-91-4101; hep-th/9112013; in: Proc. 1991 Summer School in High Energy Physics and Cosmology, ICTP Series in Theoretical Physics, Vol. 8, eds. E. Gava, K. Narain, S. Randjbar-Daemi, E. Sezgin and Q. Shafi (World Scientific, Singapore, 1992) p. 785.
8. [4] V.A. Kazakov, JETP Lett. 44 (1986) 133; Phys. Lett. A 119 (1986) 140; D.V. Boulatov and V.A. Kazakov, Phys. Lett. B 186 ( 1987) 379.
9. [4] V.A. Kazakov, JETP Lett. 44 (1986) 133; Phys. Lett. A 119 (1986) 140; D.V. Boulatov and V.A. Kazakov, Phys. Lett. B 186 ( 1987) 379.
10. [4] V.A. Kazakov, JETP Lett. 44 (1986) 133; Phys. Lett. A 119 (1986) 140; D.V. Boulatov and V.A. Kazakov, Phys. Lett. B 186 ( 1987) 379.
11. [5] V.A. Kazakov, Phys. Lett. B 150 (1985) 182; F. David, Nucl. Phys. B 257 (1985) 543.
12. [5] V.A. Kazakov, Phys. Lett. B 150 (1985) 182; F. David, Nucl. Phys. B 257 (1985) 543.
13. [6] J. Jurkiewicz, A. Krzywicki, B. Petersson and B. Soderberg, Phys. Lett. B 213 (1988) 511; S. Catterall, J. Kogut and R. Renken, Phys. Rev. D 45 (1992) 2957; C. Baillie and D. Johnston, Mod. Phys. Lett. A 7 (1992) 1519; R. Ben-Av, J. Kinar and S. Solomon, Int. J. Mod. Phys. C 3 (1992) 279.
14. [6] J. Jurkiewicz, A. Krzywicki, B. Petersson and B. Soderberg, Phys. Lett. B 213 (1988) 511; S. Catterall, J. Kogut and R. Renken, Phys. Rev. D 45 (1992) 2957; C. Baillie and D. Johnston, Mod. Phys. Lett. A 7 (1992) 1519; R. Ben-Av, J. Kinar and S. Solomon, Int. J. Mod. Phys. C 3 (1992) 279.
15. [6] J. Jurkiewicz, A. Krzywicki, B. Petersson and B. Soderberg, Phys. Lett. B 213 (1988) 511; S. Catterall, J. Kogut and R. Renken, Phys. Rev. D 45 (1992) 2957; C. Baillie and D. Johnston, Mod. Phys. Lett. A 7 (1992) 1519; R. Ben-Av, J. Kinar and S. Solomon, Int. J. Mod. Phys. C 3 (1992) 279.
16. [6] J. Jurkiewicz, A. Krzywicki, B. Petersson and B. Soderberg, Phys. Lett. B 213 (1988) 511; S. Catterall, J. Kogut and R. Renken, Phys. Rev. D 45 (1992) 2957; C. Baillie and D. Johnston, Mod. Phys. Lett. A 7 (1992) 1519; R. Ben-Av, J. Kinar and S. Solomon, Int. J. Mod. Phys. C 3 (1992) 279.
17. [7] T. Regge, Nuovo Cimento 19 (1961) 558.
18. [8] H. Hamber, in: Proc. 1984 Les Houches Summer School, Session XLIII, eds. K. Osterwalder and R. Stora (North-Holland, Amsterdam, 1986) p. 375.
19. [9] P. Menotti, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 29.
20. [10] A. Jevicki and M. Ninomiya, Phys. Rev. D 33 (1986) 1634; Phys. Lett. 150 B (1985) 115.
21. [10] A. Jevicki and M. Ninomiya, Phys. Rev. D 33 (1986) 1634; Phys. Lett. 150 B (1985) 115.
22. [11] P. Menotti and P.P. Peirano, Phys. Lett. B 353 (1995) 444.
23. [12] J.B. Hartle, J. Math. Phys. 26 (1985) 804; J. Math. Phys. 27 (1986) 287.
24. [12] J.B. Hartle, J. Math. Phys. 26 (1985) 804; J. Math. Phys. 27 (1986) 287.
25. [13] M. Vekić, S. Liu and H. Hamber, Phys. Lett. B 329 (1994) 444; Phys. Rev. D 51 (1995) 4287.
26. [13] M. Vekić, S. Liu and H. Hamber, Phys. Lett. B 329 (1994) 444; Phys. Rev. D 51 (1995) 4287.
27. [14] W. Beirl and B.A. Berg, Nucl. Phys. B 452 (1995) 415.
28. [15] M. Gross and H. Hamber, Nucl. Phys. B 364 ( 1991) 703.
29. [16] C. Holm and W. Janke, Phys. Lett. B 335 (1994) 143.
30. [17] C. Holm and W. Janke, Phys. Lett. B 375 (1996) 69.
31. [18] C. Holm and W. Janke, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 725.
32. [19] W. Bock and J. Vink, Nucl. Phys. B 438 (1995) 320.
33. [20] W. Bock, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 713.
34. [21] H. Kawai and R. Nakayama, Phys. Lett. B 306 (1993) 224.
35. [22] H.W. Hamber and R.M. Williams, Nucl. Phys. B 248 (1984) 392; H.W. Hamber, Nucl. Phys. B 400 (1993) 347; and for the entropie approach to the unboundedness problem, see B.A. Berg, Phys. Lett. B 176 (1986) 39; W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler, Phys. Rev. D 49 (1994) 5231; Nucl. Phys. B (Proc. Suppl.) 30 (1993) 764.
36. [22] H.W. Hamber and R.M. Williams, Nucl. Phys. B 248 (1984) 392; H.W. Hamber, Nucl. Phys. B 400 (1993) 347; and for the entropie approach to the unboundedness problem, see B.A. Berg, Phys. Lett. B 176 (1986) 39; W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler, Phys. Rev. D 49 (1994) 5231; Nucl. Phys. B (Proc. Suppl.) 30 (1993) 764.
37. [22] H.W. Hamber and R.M. Williams, Nucl. Phys. B 248 (1984) 392; H.W. Hamber, Nucl. Phys. B 400 (1993) 347; and for the entropie approach to the unboundedness problem, see B.A. Berg, Phys. Lett. B 176 (1986) 39; W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler, Phys. Rev. D 49 (1994) 5231; Nucl. Phys. B (Proc. Suppl.) 30 (1993) 764.
38. [22] H.W. Hamber and R.M. Williams, Nucl. Phys. B 248 (1984) 392; H.W. Hamber, Nucl. Phys. B 400 (1993) 347; and for the entropie approach to the unboundedness problem, see B.A. Berg, Phys. Lett. B 176 (1986) 39; W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler, Phys. Rev. D 49 (1994) 5231; Nucl. Phys. B (Proc. Suppl.) 30 (1993) 764.
39. [22] H.W. Hamber and R.M. Williams, Nucl. Phys. B 248 (1984) 392; H.W. Hamber, Nucl. Phys. B 400 (1993) 347; and for the entropie approach to the unboundedness problem, see B.A. Berg, Phys. Lett. B 176 (1986) 39; W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler, Phys. Rev. D 49 (1994) 5231; Nucl. Phys. B (Proc. Suppl.) 30 (1993) 764.
40. [23] B. DeWitt, in: General Relativity - An Einstein Centenary Survey, eds. S.W. Hawking and W. Israel (University Press, Cambridge, 1979), and references therein.
41. [24] A.M. Polyakov, Phys. Lett. B 103 (1981) 207.
42. [25] C. Holm and W. Janke, work in progress.
43. [26] C. Holm and W. Janke, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 722.
44. [27] J. Nishimura and M. Oshikawa, Phys. Lett. B 338 (1994) 187.
45. [28] J. Nishimura, Prog. Theor. Phys. 94 (1995) 229.