Itô's stochastic calculus and the bosonic string
Tóm tắt
Itô's stochastic calculus is used to derive the critical dimension for the bosonic string. An anomaly in the ghost-number current, related to the Riemann-Roch theorem, is also derived.
Tài liệu tham khảo
K. Itô: Proc. Imp. Acad. 20 (1944) 519
C.W. Gardiner: Handbook of stochastic methods. Berlin, Heidelberg, New York: Springer 1983
R.F. Picken and I.N. Webb, Int. J. Mod. Phys. A (to appear)
M. Namiki et al.: Phys. Lett. 194B (1987) 530
M. Namiki et al.: Phys. Rev. D 38 (1988) 1346
G. Parisi, Y. Wu: Sci. Sin. 24 (1981) 483
P.H. Damgaard, H. Hüffel: Phys. Rep. 152 (1987) 227
A.M. Polyako: Phys. Lett. 103B (1981) 207
J.W. Jun, J.K. Kim: Phys. Rev. D 37 (1988) 2238
R.C. Brower: Phys. Rev. D 6 (1972) 1655
P. Goddard, C.B. Thorn: Phys. Lett. 40B (1972) 235
C.B. Thorn: Nucl. Phys. B 286 (1987) 61
K. Fujikawa: Phys. Rev. D 25 (1982) 2584
T. Eguchi, P.B. Gikey, A.J. Hanson: Phys. Rep. 66 (1980) 213
J.D. Breit, S. Gupta, A. Zaks: Nucl. Phys. B 233 (1984) 61
M. Reuter: Phys. Rev. D 35 (1987) 3076
M. Reuter: Phys. Rev. D 37 (1988) 567
Z. Bern, M.B. Halpern: Phys. Rev. D 33 (1986) 1184
A. González-Arroyo, C.P. Martin: Nucl. Phys. B 286 (1987) 306
J. Sakamoto: Prog. Theor. Phys. 76 (1986) 966
K. Fujikawa: Phys. Rev. D 31 (1985) 341
F. Freire, R.F. Picken: Phys. Lett. B 222 (1989) 253
Z. Bern et al.: Nucl. Phys. B 284 (1987) 1
Z. Bern et al.: Nucl. Phys. B 284 (1987) 34
Z. Bern, M.B. Halpern, L. Sadun: Nucl. Phys. B 284 (1987) 92
R. Marnelius: Nucl. Phys. B 211 (1983) 14
Z.Y. Zhu, H.C. Lee: Mod. Phys. Lett. A 3 (1988) 1013