D-Brane Recoil Mislays Information

Abstract

We discuss the scattering of a light closed-string state off a $D$ brane, taking into account quantum recoil effects on the latter, which are described by a pair of logarithmic operators. The light-particle and $D$-brane subsystems may each be described by a world-sheet with an external source due to the interaction between them. This perturbs each subsystem away from criticality, which is compensated by dressing with a Liouville field whose zero mode we interpret as time. The resulting evolution equations for the $D$ brane and the closed string are of Fokker-Planck and modified quantum Liouville type, respectively. The apparent entropy of each subsystem increases as a result of the interaction between them, which we interpret as the loss of information resulting from non-observation of the other entangled subsystem. We speculate on the possible implications of these results for the propagation of closed strings through a dilute gas of virtual $D$ branes.

34 pages, LaTeX, 2 figures (included)

References in corpus (14)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• D-brane dynamics
• Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
• Indecomposable Fusion Products
• D-Brane Boundary State Dynamics
• String Duality--A Colloquium
• Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models
• D-Brane Recoil and Logarithmic Operators
• World-Sheet Logarithmic Operators and Target Space Symmetries in String Theory
• D Branes from Liouville Strings
• Quantum Decoherence in a Four-Dimensional Black Hole Background
• Dirichlet Boundary State in Linear Dilaton Background
• Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra
• RG flow on random surfaces with handles and closed string field theory

Cited by in corpus (52)

• Astrophysical Probes of the Constancy of the Velocity of Light
• Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• A Microscopic Recoil Model for Light-Cone Fluctuations in Quantum Gravity
• A supersymmetric D-brane Model of Space-Time Foam
• Matrix D-brane Dynamics, Logarithmic Operators and Quantization of Noncommutative Spacetime
• Dynamical Formation of Horizons in Recoiling D Branes
• Time Delays of Strings in D-particle Backgrounds and Vacuum Refractive Indices
• On Reducible but Indecomposable Representations of the Virasoro Algebra
• Implications of a Stochastic Microscopic Finsler Cosmology
• A Microscopic Liouville Arrow of Time
• Holographic applications of logarithmic conformal field theories
• Singletons and Logarithmic CFT in ADS/CFT correspondence
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Study of coherence and mixedness in meson and neutrino systems
• String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
• Operator Product Expansion in Logarithmic Conformal Field Theory
• How Large are Dissipative Effects in Non-Critical Liouville String Theory?
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Quantum-Gravity Decoherence Effects in Neutrino Oscillations: Expected Constraints from CNGS and J-PARC
• Study of time lags in HETE-2 Gamma-Ray Bursts with redshift: search for astrophysical effects and Quantum Gravity signature
• Study of temporal quantum correlations in decohering B and K meson systems
• Starobinsky-Like Inflation in Dilaton-Brane Cosmology
• Lorentz Invariance Violation from String Theory
• Boundary states in boundary logarithmic CFT
• Neutrino oscillations in a stochastic model for space-time foam
• Light Speed Variation with Brane/String-Inspired Space-Time Foam
• Logarithmic Currents in the SU(2)_0 WZNW model
• Logarithmic Operators Fold D branes into AdS_3
• Closed-string Tachyon Condensation and the On-shell Effective Action of Open-string Tachyons
• On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter
• $W_{\infty }$ Algebras, Hawking Radiation and Information Retention by Stringy Black Holes
• Non-linear Schroedinger Dynamics of Matrix D-branes
• D-Brane Recoil and Supersymmetry Obstruction
• Light-Cone Broadening and TeV Scale Extra Dimensions
• Supercritical String Cosmology drains the Swampland
• A mass hierarchy from recoiling D branes
• Lorentz and CPT breaking in gamma-ray burst neutrinos from string theory
• High-Energy gamma-ray Astronomy and String Theory
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• D-Brane Recoil and Supersymmetry Breaking as a Relaxation Process
• D-Flation
• Recoiling D-branes
• Schwarzschild Atmospheric Processes: A Classical Path to the Quantum
• A Novel Mass Hierarchy and Discrete Excitation Spectra from Quantum-Fluctuating D-branes
• Stringy Space-Time Foam and High-Energy Cosmic Photons
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• Effects on neutrino propagation in space-time foam of D-branes revisited
• A Novel Foamy Origin for Singlet Fermion Masses
• Quantum speed of evolution of neutral mesons
• Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
• Constraining D-foam via the 21-cm Line