Linear Relations and their Breakdown in High Energy Massive String Scatterings in Compact Spaces

Abstract

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. For each fixed mass level with given quantized and winding momenta ((m/R),(1/2)nR), we obtain infinite linear relations among high energy scattering amplitudes of different string states. For some kinematic regimes, we discover that linear relations with N_{R}=N_{L} break down and, simultaneously, the amplitudes enhance to power-law behavior instead of the usual expoential fall-off behavior at high energies. It is the space-time T-duality symmetry that plays a role here. This result is consistent with the coexistence of the linear relations and the softer exponential fall-off behavior of high energy string scattering amplitudes as we pointed out prevously. It is also reminiscent of our previous work on the power-law behavior of high energy string/domain-wall scatterings.

18 pages, 1 figure

References in corpus (19)

• Superstring Scattering from D-Branes
• 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
• Ward Identities and High-energy Scattering Amplitudes in String Theory
• High-energy zero-norm states and symmetries of string theory
• Discrete Gauge States and$w_{\infty }$ Charges in c=1 2d Gravity
• Anatomy of Zero-norm States in String Theory
• Decoupling of Degenerate Positive-norm States in Witten's String Field Theory
• High Energy Scattering Amplitudes of Superstring Theory
• Notes on High Energy Limit of Bosonic Closed String Scattering Amplitudes
• Spontaneously broken symmetry in string theory
• Scatterings of Massive String States from D-brane and Their Linear Relations at High Energies
• Comments on the high energy limit of bosonic open string theory
• SO(2,C) Invariant Discrete Gauge States in Liouville Gravity Coupled to Minimal Conformal Matter
• High Energy String Collisions in a Compact Space
• 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
• Veneziano Amplitude for Winding Strings

Cited by in corpus (11)

• Patterns of High energy Massive String Scatterings in the Regge regime
• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• Massive Superstring Scatterings in the Regge Regime
• High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
• Regge Closed String Scattering and its Implication on Fixed angle Closed String Scattering
• High-energy Massive String Scatterings from Orientifold Planes
• High-energy String Scatterings of Compactified Open String
• High-Energy Symmetry of Bosonic Open String Theory in the Light-like Linear Dilaton Background
• Vertex Operators and Scattering Amplitudes of the Bosonic Open String Theory in the Linear Dilaton Background
• Power-law Behavior of High Energy String Scatterings in Compact Spaces
• String Scattering Amplitudes in High Energy Limits