Random graph gauge theories as toy models for non-perturbative string theories

Classical and Quantum Gravity

Volumn 17, Issue 23, 2000, Pages 4841-4854

  Filk, Thomas ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336401     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/23/304     Document Type: Article

References (26)

1. Polchinski J 1998 String Theories vols 1 and 2 (Cambridge: Cambridge University Press) Polchinski J 1996 Rev. Mod. Phys. 68 1245
2. Polchinski J 1998 String Theories vols 1 and 2 (Cambridge: Cambridge University Press) Polchinski J 1996 Rev. Mod. Phys. 68 1245
3. Kramers H A and Wannier G H 1941 Phys. Rev. 60 252
4. Feynman R P 1972 Statistical Mechanics (Reading, MA: Addison-Wesley) (Reprint 1990)
5. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (New York: Academic)
6. Wegner F J 1971 J. Math. Phys. 12 2259
7. Coleman S 1975 Phys. Rev. D 11 2088
8. Mandelstam S 1975 Phys. Rev. D 11 3026
9. Montonen C and Olive D 1977 Phys. Lett. B 72 117 Witten E and Olive D 1978 Phys. Lett. B 78 97 Osborne H 1979 Phys. Lett. B 83 321
10. Montonen C and Olive D 1977 Phys. Lett. B 72 117 Witten E and Olive D 1978 Phys. Lett. B 78 97 Osborne H 1979 Phys. Lett. B 83 321
11. Montonen C and Olive D 1977 Phys. Lett. B 72 117 Witten E and Olive D 1978 Phys. Lett. B 78 97 Osborne H 1979 Phys. Lett. B 83 321
12. Aharony O, Gubser S S, Maldacena J, Ooguri H and Oz Y 2000 Phys. Rep. 323 183 Aharony O, Gubser S S, Maldacena J, Ooguri H and Oz Y 1999 Large N field theory, string theory and gravity Preprint hep-th/9905111)
13. Aharony O, Gubser S S, Maldacena J, Ooguri H and Oz Y 2000 Phys. Rep. 323 183 (Aharony O, Gubser S S, Maldacena J, Ooguri H and Oz Y 1999 Large N field theory, string theory and gravity Preprint hep-th/9905111)
14. Rothe H J 1997 Lattice Gauge Theories 2nd edn (Singapore: World Scientific)
15. Biggs N 1993 Algebraic Graph Theory 2nd edn (Cambridge: Cambridge University Press)
16. Stauffer D and Aharony A 1994 Introduction to Percolation Theory 2nd edn (London: Taylor and Francis)
17. Nowotny T and Requardt M 1998 J. Phys. A: Math. Gen. 31 2447
18. Ambjorn J, Durhuus B, Fröhlich J and Orlando P 1986 Nucl. Phys. B 270 457
19. Regge T 1961 Nuovo Cimento 19 558
20. Ambjorn J 1994 Quantization of geometry Fluctuating Geometries in Statistical Mechanics and Field Theory (Lectures presented at the 1994 Les Houches Summer School) David F 1992 Simplicial quantum gravity and random lattices Gravitation and Quantizations (Lectures presented at the 1992 Les Houches Summer School)
21. Ambjorn J 1994 Quantization of geometry Fluctuating Geometries in Statistical Mechanics and Field Theory (Lectures presented at the 1994 Les Houches Summer School) David F 1992 Simplicial quantum gravity and random lattices Gravitation and Quantizations (Lectures presented at the 1992 Les Houches Summer School)
22. Pauli W 1958 Theory of Relativity (London: Pergamon)
23. Gilkey P B 1974 The Index Theorem and the Heat Equation (Mathematics Lecture Series vol 4) (Boston, MA: Publish or Perish)
24. Eguchi T, Gilkey P B and Hanson A J 1980 Gravitation, gauge theories and differential geometry Phys. Rep. 66 213
25. Cvetković D M, Doob M and Sachs H 1995 Spectra of Graphs 3rd edn (Heidelber, Leipzig: Johann Ambrosius Barth)
26. Ashtekar A, Lewandowski J, Marolf D, Mourag J and Thiemann T 1995 J. Math. Phys. 36 6456