Vertex Operators and Scattering Amplitudes of the Bosonic Open String Theory in the Linear Dilaton Background
arXiv:0907.5472
Abstract
The operator formalism of the first quantized string theory is applied to the stringy excitations in the linear dilaton background. In particular, the normal-ordered vertex operators in the old-covariant spectrum of the bosonic open string, which correspond to the physical state solutions of the Virasoro constraints, are shown to satisfy the conformal algebra. Tree-level scattering amplitudes among different stringy states are computed using the coherent-state method and the modified inner product of the Hilbert space. Decoupling of the zero-norm states, i.e., the on-shell stringy Ward identities are shown to hold for all tree-level amplitudes under consideration.
arXiv comment73 pages, no figure
References in corpus (16)
- Stringy Symmetries and Their High-energy Limits
- Zero-norm states and High-energy Symmetries of String Theory
- Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
- On the Background Independence of String Field Theory: III. Explicit Field Redefinitions
- Linear Relations and their Breakdown in High Energy Massive String Scatterings in Compact Spaces
- Anatomy of Zero-norm States in String Theory
- Patterns of High energy Massive String Scatterings in the Regge regime
- Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
- Linear Relations of High Energy Absorption/Emission Amplitudes of D-brane
- Linear relations among 4-point functions in the high energy limit of string theory
- Discrete States in Light-Like Linear Dilaton Background
- High-energy Massive String Scatterings from Orientifold Planes
- Kummer function and High energy String Scatterings
- Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations
- High-energy String Scatterings of Compactified Open String
- Massive Vertex Operators and Conformal Algebra of the Bosonic Open String Theory in Flat Space-time