Gross, David J.; Miljković, Nikola A nonperturbative solution of \(D=1\) string theory. (English) Zbl 1332.81175 Phys. Lett., B 238, No. 2-4, 217-223 (1990). Summary: We derive a nonperturbative solution of \(D=1\) string theory, based on a double scaling limit of the one-dimensional random matrix model. We derive an exact expression for the partition function in terms of the string coupling constant. The weak coupling expansion suffers from infrared divergences, which we attribute to massless tadpoles. The continuum limit seems to be well defined, however, in a strong coupling expansion. This could correspond to a different stable nonperturbative vacuum. Cited in 16 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory PDF BibTeX XML Cite \textit{D. J. Gross} and \textit{N. Miljković}, Phys. Lett., B 238, No. 2--4, 217--223 (1990; Zbl 1332.81175) Full Text: DOI References: [1] Knizhnik, V.; Polyakov, A.; Zamolodchikov, A., Mod. phys. lett. A, 3, 819, (1988) [2] Distler, J.; Kawai, H., Nucl. phys. B, 321, 509, (1989) [3] David, F., Mod. phys. lett. A, 3, 1651, (1988) [4] Brink, L.; Nielsen, H., Phys. lett. B, 45, 332, (1973) [5] Kazakov, V.; Migdal, A., Nucl. phys. B, 311, 171, (1989) [6] Brezin, E.; Itzykson, C.; Parisi, G.; Zuber, J., Commun. math. phys., 59, 35, (1978) [7] Kostov, I., Phys. lett. B, 215, 499, (1988) [8] Kazakov, V.; David, F.; Kazakov, V.; Kostov, I.; Migdal, A., Phys. lett. B, Nucl. phys. B, Phys. lett. B, 157, 295, (1985) [9] D. Gross and N. Miljković, unpublished; S. Das, A. Dhar, A. Sengupta and S. Wadia, Tata Institute preprint TIFR/TH/89-71. [10] Gelfand, I.; Dikii, L., Usp. mat. nauk, 30, 5, (1975) [11] Gross, D.J.; Migdal, A.A., Phys. rev. lett., 64, 127, (1990) [12] Douglas, M.; Shenker, S., Ru-89-34, (October 1989), Rutgers preprint [13] E. Brézin and V. Kazakov, Ecole Normale preprint (October 1989). [14] Gross, D.J.; Migdal, A.A.; Brézin, E.; Douglas, M.; Kazakov, V.; Shenker, S.; Crnković, C.; Ginsparg, P.; Moore, G., Pupt-1159, Ru-89-47, Yctp-p20-89, (December 1989), Yale preprint [15] Gross, D.; Periwal, V., Phys. rev. lett., 60, 2105, (1988) [16] E. Brézin, V. Kazakov and A.B. Zamolodchikov, Ecole Normale preprint LPS-ENS-89-182. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.