Prog. Theor. Phys. Vol. 79 No. 6 (1988) pp. 1299-1304

[ Full Text PDF : FREE ACCESS (297K) ]

Letters

Pregeometry and an Extended String Action

Keiichi Akama

Department of Physics, Saitama Medical College, Moroyama, Saitama 350-04

(Received February 18, 1988)

Abstract:

Inspired by the formulation developed for pregeometry, a world-sheet action of a transversally extended string is proposed. It is that of a gravitational and gauge theory with matter fields on the world-sheet, with additional effects of the second fundamental quantity.

URL : http://ptp.ipap.jp/link?PTP/79/1299/
DOI : 10.1143/PTP.79.1299

References:

Y. Nambu, lectures presented at the Copenhagen Summer Symposium 1970 (unpublished).
T. Goto, Prog. Theor. Phys. 46 (1971), 1560[PTP].
For a review, see for example, P. Frampton, Dual Resonance Model (Benjamin, 1974).
M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory (Cambridge Univ. Press, Cambridge, 1987).
J. L. Gervais and B. Sakita, Nucl. Phys. B34 (1971), 632.
Y. Iwasaki and K. Kikkawa, Phys. Rev. D8 (1973), 440[APS].
P. A. Collins and R. W. Tucker, Phys. Lett. 64B (1976), 207; Nucl. Phys. B121 (1977), 307.
S. Deser and B. Zumino, Phys. Lett. 65B (1976), 369.
L. Brink, P. Di Vecchia and P. Howe, Phys. Lett. 65B (1976), 471.
F. Gliozzi, J. Scherck and D. Olive, Phys. Lett. 65B (1976), 282; Nucl. Phys. B122 (1977), 253.
M. Green and J. H. Schwarz, Nucl. Phys. B181 (1981), 502; ibid. B198 (1982), 252; Phys. Lett. 109B (1982), 444.
For a review, see for example, M. B. Green, J. H. Schwarz and E. Witten, Ref. 1).
H. B. Nielsen and P. Olesen, Nucl. Phys. B61 (1973), 45.
D. Förster, Nucl. Phys. B81 (1974), 84.
J. L. Grevais and B. Sakita, Nucl. Phys. B91 (1975), 301.
Y. Nambu, Phys. Lett. 80B (1979), 372.
T. Matsumoto, Preprint UT-Komaba, 78-10 (1978).
A. D. Sakharov, Dokl. Akad. Nauk SSSR 177 (1967), 70 [AIP Scitation][Sov. Phys.-JETP 12 (1968), 1040].
K. Akama, Y. Chikashige, T. Matsuki and H. Terazawa, Prog. Theor. Phys. 60 (1978), 868[PTP].
K. Akama, Prog. Theor. Phys. 60 (1978), 1900[PTP].
S. L. Adler, Phys. Rev. Lett. 44 (1980), 1567[APS]; Phys. Lett. 95B (1980), 237.
A. Zee, Phys. Rev. D23 (1981), 858[APS].
D. Amati and G. Veneziano, Phys. Lett. 105B (1981), 358.
H. Hata, K. Itoh, T. Kugo, T. Kunitomo and K. Ogawa, Phys. Lett. B175 (1986), 138.
K. Akama, Ref. 4).
K. Akama and H. Terazawa, Prog. Theor. Phys. 79 (1988), 740[PTP].
P. A. M. Dirac, Proc. R. Soc. London A268 (1962), 57.
P. A. Collins and R. W. Tucker, Nucl. Phys. B112 (1976), 150.
A. Sugamoto, Nucl. Phys. B215 (1983), 381.
K. Kikkawa and M. Yamasaki, Prog. Theor. Phys. 76 (1986), 1379[PTP].
K. Akama, Y. Chikashige, T. Matsuki and H. Terazawa, Ref. 4).
P. Ramond, Phys. Rev. D3 (1971), 2415[APS].
A. Neveu and J. H. Schwarz, Nucl. Phys. B31 (1971), 86.
K. Akama, Phys. Lett. 140B (1984), 197.
P. S. Howe and R. W. Tucker, J. of Phys. A10 (1977), L155[IoP STACKS].
J. Hughes, J. Liu and J. Polchinski, Phys. Lett. B180 (1986), 370.
E. Bergshoeff, E. Sezgin and P. K. Townsent, Phys. Lett. B189 (1987), 70.
K. Akama, Prog. Theor. Phys. 78 (1987), 184[PTP].
K. Akama, Gauge Theory and Gravitation: Proceedings of the International Symposium, Nara, Japan, 1982, ed. K. Kikkawa, N. Nakanishi and H. Nariai (Springer-Verlag, 1983), p. 267.
V. Rubakov and M. Shaposhnikov, Phys. Lett. 125B (1983), 136.
B. Holdom, Stanford Preprint ITP-744 (1983); Nucl. Phys. B233 (1983), 431.
C. G. Callan, Jr. and J. A. Harvey, Nucl. Phys. B250 (1985), 427.
Hereafter,
(normal suffix) = 0, 1, …, n - 1,
(underlined suffix) = n, …, N -1,
(bold-faced suffix) = 0, 1, …, n - 1, n, …, N - 1,
(Greek suffix) = (general coordinate index), and
(Latin suffix) = (local Lorentz index).
The indices with “[” and that with “]” are antisymmetrized.
The indices after comma “,” indicate differentiation with respect to the corresponding component of the coordinate variable.
We define e^{k µ} as the inverse of the e_{k µ}, the metric by g_µν = e_{i µ}e_{j ν}η^ij, and g^µν as the inverse of the g_µν. η^ij = diag(1, -1, …, -1). The Greek (Latin indices are uppered and lowered by the g's (η's), and mutually converted by the e's.
A. Polyakov, Nucl. Phys. B268 (1986), 406.
P. Olesen and S.-K. Yang, Nucl. Phys. B283 (1987), 73.
H. Keinert, Phys. Rev. Lett. 58 (1987), 1915[APS].
C. Itoi and H. Kubota, to be published in Phys. Lett. B (1988); Tokyo Institute of Technology Preprint TIT/HEP-127 (1988).
S. Ichinose, Preprint US-87-01 (1987).

Citing Article(s) :

Progress of Theoretical Physics Vol. 80 No. 6 (1988) pp. 935-940 :
Induced String Action

Keiichi Akama
Progress of Theoretical Physics Vol. 112 No. 4 (2004) pp. 757-762 :
A Scale Invariance Due to the Compositeness Condition in the Induced Gauge Theory

Akira Akabane and Keiichi Akama