Geodesic
Quantum string theory in indefinite space of states
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 213-228 
I. N. Nikitin. Quantum string theory in indefinite space of states. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 213-228. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a3/
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     author = {I. N. Nikitin},
     title = {Quantum string theory in indefinite space of states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--228},
     year = {1996},
     volume = {107},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The quantum string theory in indefinite (pseudo-Hilbert) Fock representation is considered. It is shown that all anomalies in 4-dimensional theory of open bosonic string are cancelled at particular choice of vacuum state. In this the algebra of reparametrizations (in covariant approach) and the algebra of rotations (in light cone gauge) become closed. The indefiniteness of the state space introduces some non-physical features into the theory. Modifications of the given method are discussed, which are necessary to construct more realistic theory.

[1] Dirac P. A. M., Comm. Dublin Inst. Adv. Studies, 1943, 1 | Zbl

[2] Pauli W., Rev. Mod. Phys., 15 (1943), 175 | DOI | MR | Zbl

[3] Nad K., Prostranstva sostoyanii s indefinitnoi metrikoi v kvantovoi teorii polya, Mir, M., 1969 | Zbl

[4] Brink L., Enno M., Printsipy teorii strun, Mir, M., 1991, S. 156

[5] Nikitin I. N., YaF, 56:9 (1993), 230

[6] Nikitin I. N., Kvantovaya teoriya struny v indefinitnom prostranstve sostoyanii, Preprint IFVE 95-113, IFVE, Protvino, 1995

[7] Pron'ko G. P., Rev. Math. Phys., 2:3 (1990), 355 | DOI | MR | Zbl

[8] Nikitin I. N., Pronko G. P., Elektromagnitnoe vzaimodeistvie v teorii pryamolineinoi struny, Preprint IFVE 94-64, IFVE, Protvino, 1994