1995/04/11 by Z. Hasiewicz, Zbigniew Hasiewicz, Z. Jaskolski +1
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Covariant transformation #Non-critical string theory #Quantum #Quantum Mechanics and Non-Hermitian Physics #Relationship between string theory and quantum field theory #String (physics) #String field theory #String theory #hep-th
paper · pdf · doi:10.1016/0550-3213(96)00014-4
published as Nucl.Phys. B464 (1996) 85-116 · 29 pages, 2 figures, LaTeX + epsf
arxiv created 1995/04/11 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical and the quantum massive string model based on a modified BDHP action is analyzed in the range of dimensions 1<d<25. The discussion concerning classical theory includes a formulation of the geometrical variational principle, a phase-space description of the two-dimensional dynamics, and a detailed analysis of the target space geometry of classical solutions. The model is quantized using "old" covariant method. In particular an appropriate construction of DDF operators is given and the no-ghost theorem is proved. For a critical value of one of free parameters of the model the quantum theory acquires an extra symmetry not present on the classical level. In this case the quantum model is equivalent to the noncritical Polyakov string and to the old Fairlie-Chodos-Thorn massive string.