Quantization of Non-critical Bosonic Open String Theory
نویسنده
چکیده
The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac’s quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As a result, a new set of Lorentz-invariant canonical variables is constructed, in which a consistent quantization of bosonic open string theory could be done in Minkowski space-time of dimension d = 4. The obtained quantum theory possesses spin-mass spectrum with Regge-like behavior.
منابع مشابه
The critical dimension of bosonic string theory in AdS space-time
The Polyakov bosonic string is quantised in Euclidean Anti-de Sitter space-time using functional methods. Regularisation of the functional determinants using both heat-kernel and zeta function techniques shows that the AdSD+1 string reduces to the Liouville field theory, as in the flat space-time case. A Feynman graph expansion is used to evaluate (approximately) the coefficient multiplying the...
متن کاملStochastic Motion of an Open Bosonic String
We show that the classical stochastic motion of an open bosonic string leads to the same results as the standard first quantization of this system. For this, the diffusion constant governing the process has to be proportional to α, the Regge slope parameter, which is the only constant, along with the velocity of light, needed to describe the motion of a string. 11.25.-w, 02.50.Ey Typeset using ...
متن کاملString theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
We consider a prescription for introducing deformed dispersion relations in the bosonic string action. We find that in a subset of such theories it remains true that the embedding coordinates propagate linearly on the worldsheet. While both the string modes and the center of mass propagate with deformed dispersion relations, the speed of light remains energy independent. We consider the canonic...
متن کاملComparing double string theory actions
Aimed to a deeper comprehension of a manifestly T-dual invariant formulation of string theory, in this paper a detailed comparison between the non-covariant action proposed by Tseytlin and the covariant one proposed by Hull is done. These are obtained by making both the string coordinates and their duals explicitly appear, on the same footing, in the world-sheet action, so “doubling” the string...
متن کاملOpen Superstring on Symmetric Product
The string theory on symmetric product describes the second-quantized string theory. The development for the bosonic open string was discussed in the previous work.[1] In this paper, we consider the open superstring theory on the symmetric product and examine the nature of the second quantization. The fermionic partition functions are obtained from the consistent fermionic extension of the twis...
متن کامل