Collective string field theory of matrix models in the BMN limit

International Journal of Modern Physics A

Volumn 19, Issue 11, 2004, Pages 1747-1769

  De Mello Koch, Robert ^a   Jevicki, Antal ^b   Rodrigues, João P ^a  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b BROWN UNIVERSITY   (United States)

Author keywords

1 N expansion; AdS CFT correspondence; Collective string field theory; Penrose limit and pp wave background

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL;

EID: 14244269811     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04017847     Document Type: Article

References (47)

1. D. Berenstein, J. Maldacena and H. Nastase, J. High Energy Phys. 0204, 013 (2002).
2. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
3. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B428, 105 (1998).
4. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
5. G. 't Hooft, Nucl. Phys. B72, 461 (1974).
6. A. M. Polyakov, Phys. Lett. B82, 247 (1979).
7. B. Sakita, Phys. Rev. D21, 1067 (1980).
8. Yu. M. Makeenko and A. A. Migdal, Phys. Lett. B88, 135 (1979).
9. A. Jevicki and B. Sakita, Nucl. Phys. B185, 89 (1981).
10. C. B. Thorn, Reformulating string theory with the 1/N expansion, Sakharov Conf. 1991:0447-454 (QC20:I475:1991) in Proc. Sakharov Memorial Lectures in Physics, Vol. 1 (Moscow, 1991), pp. 447-453; C. Thorn, hep-th/9405069.
11. K. Bardakci and C. Thorn, World sheet description of large N quantum field theory, hep-th/0110301.
12. M. Halpern and C. Thorn, Large N matrix mechanics on the light cone, hep-th/0111280.
13. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, A semiclassical limit of the gauge/string correspondence, hep-th/0204051.
14. C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, A new double-scaling limit of N = 4 super Yang-Mills and pp-wave strings, hep-th/0205033; N. Beisert, C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, BMN correlators and operator mixing in N = 4 super Yang-Mills theory, hep-th/0208178.
15. C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, A new double-scaling limit of N = 4 super Yang-Mills and pp-wave strings, hep-th/0205033; N. Beisert, C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, BMN correlators and operator mixing in N = 4 super Yang-Mills theory, hep-th/0208178.
16. D. J. Gross, A. Mikhailov and R. Roiban, Operators with large R charge in N = 4 Yang-Mills theory, hep-th/0205066.
17. A. Santambrogio and D. Zanon, Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge, hep-th/0206079.
18. C. S. Chu, V. V. Khoze and G. Travglini, Three-point functions in N = 4 Yang-Mills theory and pp-waves, hep-th/0206005.
19. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background, hep-th/0204146; M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background II, hep-th/0206073.
20. M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background, hep-th/0204146; M. Spradlin and A. Volovich, Superstring interactions in a pp-wave background II, hep-th/0206073.
21. D. Berenstein and H. Nastase, On light cone string field theory from super Yang-Mills and holography, hep-th/0205048.
22. N. R. Constable, D. Freedman, M. Headrick, S. Minwalla, L. Motl, A. Postnikov and W. Skiba, J. High Energy Phys. 0207, 017 (2002).
23. R. Gopakumar, String interactions in pp-waves, hep-th/0205174.
24. Y. J. Kiem, Y. B. Kim, S. M. Lee and J. M. Park, pp-wave/Yang-Mills correspondence: An explicit check, hep-th/0205279.
25. M. X. Huang, Three point functions of N = 4 super Yang-Mills from light cone string field theory in pp-wave, hep-th/0205311.
26. P. Lee, S. Moriyama and J. Park, Cubic interactions in pp-wave light cone string field theory, hep-th/0206065; P. Lee, S. Moriyama and J. Park, A note on cubic interactions in pp-wave light cone string field theory, hep-th/0209011.
27. P. Lee, S. Moriyama and J. Park, Cubic interactions in pp-wave light cone string field theory, hep-th/0206065; P. Lee, S. Moriyama and J. Park, A note on cubic interactions in pp-wave light cone string field theory, hep-th/0209011.
28. H. Verlinde, Bits, matrices and 1/N, hep-th/0206059.
29. I. R. Klebanov, M. Spradlin and A. Volovich, New effects in gauge theory from pp-wave supertsrings, hep-th/0206221.
30. J. H. Schwarz, Comments on superstring interactions in a plane-wave background, hep-th/0208179.
31. N. Constable, D. Z. Freedman, M. Headrick and S. Minwalla, Operator mixing and the BMN correspondence, hep-th/0209002.
32. S. Dobashi, H. Shimada and T. Yoneya, Holographic reformulation of string theory in the pp-wave limit, hep-th/0209251.
33. A. Jevicki and B. Sakita, Nucl. Phys. B165, 511 (1980).
34. B. Sakita, Quantum Theory of Many Variable Systems and Fields, Lectures Notes in Physics, Vol. 1 (World Scientific, Singapore, 1985), pp. 1-217.
35. S. R. Das and A. Jevicki, Mod. Phys. Lett. A5, 1639 (1990).
36. K. Demeterfi, A. Jevicki and J. P. Rodrigues, Nucl. Phys. B362, 173 (1991); B365, 499 (1991).
37. K. Demeterfi, A. Jevicki and J. P. Rodrigues, Nucl. Phys. B362, 173 (1991); B365, 499 (1991).
38. R. de Mello Koch, A. Donos, A. Jevicki and J. P. Rodrigues, Derivation of string field theory from the large N BMN limit, hep-th/0305042.
39. A. Jevicki and B. Sakita, Phys. Rev. D22, 467 (1980).
40. N. Ishibashi and H. Kawai, Phys. Lett. B322, 67 (1994).
41. A. Jevicki and J. P. Rodrigues, Nucl. Phys. B421, 278 (1994).
42. F. Sugino and T. Yoneya, Phys. Rev. D53, 4448 (1996).
43. A. Jevicki and S. Ramgoolam, J. High Energy Phys. 9904, 032 (1999).
44. A. Agarwal, L. Akant, G. S. Krishnaswami and S. G. Rajeev, Collective potential for large N Hamiltonian matrix models and free Fischer information, hep-th/0207200.
45. I. Affleck, Glueballs, mesons, surface roughening and the collective field method, Proc. of the Brown University Workshop on Non-Perturbative Studies in QCD, eds. A. Jevicki, C.-I. Tan, Brown Report No. HET-457 (1981), (unpublished); J. P. Rodrigues, Loop Space Master Variables and the Spectrum in the Large N Limit, PhD thesis (Brown University, 1983); A. Jevicki and J. P. Rodrigues, B230 [FS10], 317 (1984).
46. I. Affleck, Glueballs, mesons, surface roughening and the collective field method, Proc. of the Brown University Workshop on Non-Perturbative Studies in QCD, eds. A. Jevicki, C.-I. Tan, Brown Report No. HET-457 (1981), (unpublished); J. P. Rodrigues, Loop Space Master Variables and the Spectrum in the Large N Limit, PhD thesis (Brown University, 1983); A. Jevicki and J. P. Rodrigues, B230 [FS10], 317 (1984).
47. I. Affleck, Glueballs, mesons, surface roughening and the collective field method, Proc. of the Brown University Workshop on Non-Perturbative Studies in QCD, eds. A. Jevicki, C.-I. Tan, Brown Report No. HET-457 (1981), (unpublished); J. P. Rodrigues, Loop Space Master Variables and the Spectrum in the Large N Limit, PhD thesis (Brown University, 1983); A. Jevicki and J. P. Rodrigues, B230 [FS10], 317 (1984).