Research PapersNo Access

COLLECTIVE STRING FIELD THEORY OF MATRIX MODELS IN THE BMN LIMIT

ROBERT DE MELLO KOCH

Department of Physics and Center for Theoretical Physics, University of the Witwatersrand, Wits, 2050, South Africa

Search for more papers by this author

ANTAL JEVICKI

Department of Physics, Brown University, Providence, RI 02912, USA

Search for more papers by this author

, and

JOÃO P. RODRIGUES

Department of Physics and Center for Theoretical Physics, University of the Witwatersrand, Wits, 2050, South Africa

Search for more papers by this author

https://doi.org/10.1142/S0217751X04017847Cited by:20 (Source: Crossref)

Abstract

We develop a systematic procedure for deriving canonical string field theory from large N matrix models in the Berenstein–Maldacena–Nastase limit. The approach, based on collective field theory, provides a generalization of the standard string field theory.

This work is dedicated to the memory of Bunji Sakita.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

D. Berenstein, J. Maldacena and H. Nastase, J. High Energy Phys. 0204, 013 (2002). ADS, Google Scholar
J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998). Crossref, ADS, Google Scholar
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428, 105 (1998). Crossref, Web of Science, ADS, Google Scholar
E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998). Crossref, ADS, Google Scholar
G. 't Hooft, Nucl. Phys. B 72, 461 (1974). Crossref, Web of Science, Google Scholar
A. M. Polyakov, Phys. Lett. B 82, 247 (1979). Crossref, Web of Science, ADS, Google Scholar
B. Sakita, Phys. Rev. D 21, 1067 (1980). Crossref, Web of Science, Google Scholar
Yu. M. Makeenko and A. A. Migdal, Phys. Lett. B 88, 135 (1979). Crossref, Web of Science, ADS, Google Scholar
A. Jevicki and B. Sakita, Nucl. Phys. B 185, 89 (1981). Crossref, Web of Science, ADS, Google Scholar
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 . Google Scholar
K. Bardakci and C. Thorn, World sheet description of large N quantum field theory, hep-th/0110301 . Google Scholar
M. Halpern and C. Thorn, Large N matrix mechanics on the light cone, hep-th/0111280 . Google Scholar
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, A semiclassical limit of the gauge/string correspondence, hep-th/0204051 . Google Scholar
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 . Google Scholar
D. J. Gross, A. Mikhailov and R. Roiban, Operators with large R charge in N = 4 Yang–Mills theory, hep-th/0205066 . Google Scholar
A. Santambrogio and D. Zanon, Exact anomalous dimensions of N = 4 Yang–Mills operators with large R charge, hep-th/0206079 . Google Scholar
C. S. Chu, V. V. Khoze and G. Travglini, Three-point functions in N = 4 Yang–Mills theory and pp-waves, hep-th/0206005 . Google Scholar
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 . Google Scholar
D. Berenstein and H. Nastase, On light cone string field theory from super Yang–Mills and holography, hep-th/0205048 . Google Scholar
N. R. Constableet al., J. High Energy Phys. 0207, 017 (2002). ADS, Google Scholar
R. Gopakumar, String interactions in pp-waves, hep-th/0205174 . Google Scholar
Y. J. Kiem, Y. B. Kim, S. M. Lee and J. M. Park, pp-wave/Yang–Mills correspondence: An explicit check, hep-th/0205279 . Google Scholar
M. X. Huang, Three point functions of N = 4 super Yang–Mills from light cone string field theory in pp-wave, hep-th/0205311 . Google Scholar
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 . Google Scholar
H. Verlinde, Bits, matrices and 1/N, hep-th/0206059 . Google Scholar
I. R. Klebanov, M. Spradlin and A. Volovich, New effects in gauge theory from pp-wave supertsrings, hep-th/0206221 . Google Scholar
J. H. Schwarz, Comments on superstring interactions in a plane-wave background, hep-th/0208179 . Google Scholar
N. Constable, D. Z. Freedman, M. Headrick and S. Minwalla, Operator mixing and the BMN correspondence, hep-th/0209002 . Google Scholar
S. Dobashi, H. Shimada and T. Yoneya, Holographic reformulation of string theory in the pp-wave limit, hep-th/0209251 . Google Scholar
A. Jevicki and B. Sakita, Nucl. Phys. B 165, 511 (1980). Crossref, Web of Science, ADS, Google Scholar
B. Sakita, Quantum Theory of Many Variable Systems and Fields, Lectures Notes in Physics 1 (World Scientific, Singapore, 1985) pp. 1–217. Link, Google Scholar
S. R. Das and A. Jevicki, Mod. Phys. Lett. A 5, 1639 (1990). Link, Web of Science, ADS, Google Scholar
K. Demeterfi, A. Jevicki and J. P. Rodrigues, Nucl. Phys. B362, 173 (1991); B365, 499 (1991) . Google Scholar
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 . Google Scholar
A. Jevicki and B. Sakita, Phys. Rev. D 22, 467 (1980). Crossref, Web of Science, ADS, Google Scholar
N. Ishibashi and H. Kawai, Phys. Lett. B 322, 67 (1994). Crossref, Web of Science, ADS, Google Scholar
A. Jevicki and J. P. Rodrigues, Nucl. Phys. B 421, 278 (1994). Crossref, Web of Science, ADS, Google Scholar
F. Sugino and T. Yoneya, Phys. Rev. D 53, 4448 (1996). Crossref, Web of Science, ADS, Google Scholar
A. Jevicki and S. Ramgoolam, J. High Energy Phys. 9904, 032 (1999). ADS, Google Scholar
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 . Google Scholar
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) . Google Scholar