Convergent Yang-Mills matrix theories

Journal of High Energy Physics

Volumn 5, Issue 4, 2001, Pages

  Austing, Peter ^a   Wheater, John F ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

M(atrix) theories; Matrix models; Nonperturbative effects

Indexed keywords

EID: 33744779433     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/04/019     Document Type: Article

References (42)

1. G.K. Savvidy, Yang-Mills quantum mechanics, Phys. Lett. B 159 (1985) 325; M. Claudson and M.B. Halpern, Super-symmetric ground state wave functions, Nucl. Phys. B 250 (1985) 689.
2. B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545.
3. B. de Wit, M. Luscher and H. Nicolai, The supermembrane is unstable, Nucl. Phys. B 320 (1989) 135.
4. M.B. Green, Interconnections between type-II super string s, M-theory and N = 4 YangMills, hep-th/9903124.
5. B. Greene, J. Louis, K. S. Narain, and S. Randjbar-Daemi, Super-strings and related matters. Proceedings, spring workshop, Trieste, Italy, march 22-30, 1999, Singapore: World Scientific, Singapore 2000.
6. O. Lechtenfeld, J. Louis, D. Luest, and H. Nicolai, Strings '99. proceedings, conference, Germany, July 19-24, 1999.
7. J. Polchinski, Dirichlet-branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017].
8. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043].
9. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as super-string, Nucl. Phys. B 498 (1997) 467 [hep-th/9612115].
10. W. Taylor, M(atrix) theory: matrix quantum mechanics as a fundamental theory, hep-th/0101126.
11. H. Aoki et al., IIB Matrix model, Prog. Theor. Phys. Suppl. 134 (1999) 47 [hep-th/9908038].
12. S. Sethi and M. Stern, D-brane bound states redux, Comm. Math. Phys. 194 (1998) 675 [hep-th/9705046].
13. P. Yi, Witten index and threshold bound states of D-branes, Nucl. Phys. B 505 (1997) 307 [hep-th/9704098].
14. M. Porrati and A. Rozenberg, Bound states at threshold in super-symmetric quantum mechanics, Nucl. Phys. B 515 (1998) 184 [hep-th/9708119].
15. V.G. Kac and A.V. Smilga, Normalized vacuum states in N = 4 super-symmetric Yang-Mills quantum mechanics with any gauge group, Nucl. Phys. B 571 (2000) 515 [hep-th/9908096].
16. J. Hoppe, V. Kazakov and I.K. Rostov, Dimensionally reduced SYM(4) as solvable matrix quantum mechanics, Nucl. Phys. B 571 (2000) 479 [hep-th/9907058].
17. M. Staudacher, Bulk Witten indices and the number of normalizable ground states in super-symmetric quantum mechanics of orthogonal, symplectic and exceptional groups, Phys. Lett. B 488 (2000) 194 [hep-th/0006234].
18. E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135].
19. S. Paban, S. Sethi and M. Stern, Constraints from extended super-symmetry in quantum mechanics, Nucl. Phys. B 534 (1998) 137 [hep-th/9805018].
20. G. Moore, N. Nekrasov and S. Shatashvili, D-particle bound states and generalized instantons, Comm. Math. Phys. 209 (2000) 77 [hep-th/9803265].
21. M.B. Green and M. Gutperle, D-instanton partition functions, Phys. Rev. D 58 (1998) 046007 [hep-th/9804123].
22. A. Konechny, On asymptotic hamiltonian for SU(-AT) matrix theory, J. High Energy Phys. 10 (1998) 018 [hep-th/9805046].
23. W. Krauth and M. Staudacher, Finite Yang-Mills integrals, Phys. Lett. B 435 (1998) 350 [hep-th/9804199].
24. A.V. Smilga, Witten index calculation in super symmetric gauge theory, Nucl. Phys. B 266 (1986) 45.
25. A. V. Smilga, Calculation of the witten index in extended supersymmetric Yang-Mills theory (in russian), Yad. Fiz. 43 (1986) 215.
26. T. Suyama and A. Tsuchiya, Exact results in Nc = 2 IIB matrix model, Prog. Theor. Phys. 99 (1998) 321 [hep-th/9711073].
27. P. Austing and J.F. Wheater, The convergence of Yang-Mills integrals, J. High Energy Phys. 02 (2001) 028 [hep-th/0101071].
28. W. Krauth, H. Nicolai and M. Staudacher, Monte Carlo approach to M-theory, Phys. Lett. B 431 (1998) 31 [hep-th/9803117].
29. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Space-time structures from IIB matrix model, Prog. Theor. Phys. 99 (1998) 713 [hep-th/9802085].
30. T. Hotta, J. Nishimura and A. Tsuchiya, Dynamical aspects of large-N reduced models, Nucl. Phys. B 545 (1999) 543 [hep-th/9811220].
31. S. Oda and F. Sugino, Gaussian and mean field approximations for reduced Yang-Mills integrals, J. High Energy Phys. 03 (2001) 026 [hep-th/0011175].
32. W. Krauth and M. Staudacher, Yang-Mills integrals for orthogonal, symplectic and exceptional groups, Nucl. Phys. B 584 (2000) 641 [hep-th/0004076].
33. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, Monte Carlo studies of the dimensionally reduced 4D SU(-AT) super Yang-Mills theory, hep-th/0101084.
34. S. Horata, H.S. Egawa and T. Yukawa, Numerical analysis of the double scaling limit in the IIB matrix model, hep-th/0005157.
35. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, Large-N dynamics of dimensionally reduced 4D SU(-AT) super Yang-Mills theory, J. High Energy Phys. 07 (2000) 013 [hep-th/0003208].
36. Z. Burda, B. Petersson and J. Tabaczek, Geometry of reduced supersymmetric 4D Yang-Mills integrals, hep-lat/0012001.
37. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta and J. Nishimura, Monte Carlo studies of the IIB matrix model at large-N, J. High Energy Phys. 07 (2000) Oil [hep-th/0005147].
38. J. Nishimura and G. Vernizzi, Brane world from IIB matrices, Phys. Rev. Lett. 85 (2000) 4664 [hep-th/0007022].
39. J. Nishimura and G. Vernizzi, Spontaneous breakdown of Lorentz invariance in IIB matrix model, J. High Energy Phys. 04 (2000) 015 [hep-th/0003223].
40. R.A. Janik and J. Wosiek, Towards the matrix model of M-theory on a lattice, hep-th/0003121.
41. P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Large-N limit of the IKKT matrix model, Nucl. Phys. B 592 (2001) 391 [hep-lat/0007013].
42. W. Krauth and M. Staudacher, Eigenvalue distributions in Yang-Mills integrals, Phys. Lett. B 453 (1999) 253 [hep-th/9902113].