Quick Search:
Prog. Theor. Phys. Vol. 92 No. 3 (1994) pp. 479-499
Invited Papers
Renormalized Expansions for Matrix Models
Shinobu Hikami
Department of Pure and Applied Sciences, University of Tokyo,
Komaba, Tokyo 153
(Received June 24, 1994)
Abstract:
Matrix models of 2d quantum gravity coupled to matter fields are investigated by the renormalized perturbational method, in which the matrix model Hamiltonian is represented by the equivalent vector model. By the saddle point method, the renormalization group β-function is obtained in the successive approximation.
URL :
http://ptp.ipap.jp/link?PTP/92/479/
DOI : 10.1143/PTP.92.479
References:
-
E. Brézin, C. Itzykson, G. Parisi and J. B. Zuber, Commun. Math. Phys. 59 (1978), 35[CrossRef].
- M. R. Douglas and S. H. Shenker, Nucl. Phys. B335 (1990), 635.
D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64 (1990), 127[APS].
E. Brézin and V. A. Kazakov, Phys. Lett. B236 (1990), 144.
- V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Mod. Phys. Lett. A3 (1988), 819.
F. David, Mod. Phys. Lett. A3 (1988), 1651.
J. Distler and H. Kawai, Nucl. Phys. B321 (1989), 509.
- E. Brézin and S. Hikami, Phys. Lett. B283 (1992), 203.
S. Hikami and E. Brézin, Phys. Lett. B295 (1992), 209.
- S. Hikami, Phys. Lett. B305 (1993), 327.
- M. Wexler, Nucl. Phys. B410 (1993), 377.
- C. A. Baillie and D. Johnston, Phys. Lett. B286 (1992), 44.
J. Ambjorn, B. Durhuus, T. Jo'nsson, and G. Thorleifsson, Nucl. Phys. B398 (1993), 568.
M. Bowick, M. Falcioni, G. Harris and E. Marinari, Phys. Lett. B322 (1994), 316.
- E. Brézin and J. Zinn-Justin, Phys. Lett. B288 (1992), 54.
J. W. Carlson, Nucl. Phys. 248 (1984), 536.
- S. Higuchi, C. Itoi and N. Sakai, Phys. Lett. B312 (1993), 88.
S. Higuchi, C. Itoi, S. Nishigaki and N. Sakai, Phys. Lett. B318 (1993), 63.
- Y. Shimamune, Phys. Lett. 108 (1982), 407.
G. M. Cicuta, L. Molinari and E. Montaldi, J. of Phys. A23 (1990), L421[IoP STACKS].
-
D. J. Gross and E. Witten, Phys. Rev. D21 (1980), 446[APS].
- S. Hikami and T. Maskawa, Prog. Theor. Phys. 67 (1982), 1038[PTP].
- S. Hikami, Physica A204 (1994), 290.
-
G. J. Ruggeri and D. J. Thouless, J. of Phys. F6 (1976), 2063[IoP STACKS].
E. Brézin, A. Fujita and S. Hikami, Phys. Rev. Lett. 65 (1990), 1949[APS].
- K. Demeterfi and I. R. Klebanov, in Quantum Gravity Nishinomiya-Yukawa Symposium, ed. K. Kikkawa and M. Ninomiya (World Scientific, Singapore, 1993).
- S. Hikami, in “ Correlation effects in low dimensional electron systems", ed. A. Okiji (Taniguchi Symposium, 1993) (Springer Solid State Series, Springer, 1994).
- J. Distler and C. Vafa, Mod. Phys. Lett. A6 (1991), 259.
- D. V. Boulatov and V. A. Kazakov, Phys. Lett. B214 (1988), 581.
- M. L. Mehta, Commun. Math. Phys. 49 (1981), 327.
- M. G. Harris and J. F. Wheater, Preprint hep-th. 9404174.
B. Durhuus, Preprint hep-th. 9402052.
M. Wexler, Preprint NBI-HE-94-28.