Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds

Abstract

We formulate and study the nonequilibrium dynamics of strings near the singularity of the time-dependent plane wave background in the framework of the Nonequilibrium Thermo Field Dynamics (NETFD). In particular, we construct the Hilbert space of the thermal string oscillators at nonequilibrium and generalize the NETFD to describe the coordinates of the center of mass of the thermal string. The equations of motion of the thermal fields and the Hamiltonian are derived. Due to the time-dependence of the oscillator frequencies, a counterterm is present in the Hamiltonian. This counterterm determines the correlation functions in a perturbative fashion. We compute the two point correlation function of the thermal string at zero order in the power expansion.

arXiv comment21 pages

References in corpus (41)

• Penrose limits and maximal supersymmetry
• Solvable model of strings in a time-dependent plane-wave background
• String Propagation in the Presence of Cosmological Singularities
• A class of exact pp-wave string models with interacting light-cone gauge actions
• Nonequilibrium Quantum Dynamics of Second Order Phase Transitions
• Strings in RR Plane Wave Background at Finite Temperature
• Penrose Limits and RG Flows
• On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• Bosonic D-branes at finite temperature with an external field
• The superstring Hagedorn temperature in a pp-wave background
• On the SU(1,1) Thermal Group of Bosonic Strings and D-Branes
• Thermodynamic behavior of IIA string theory on a pp-wave
• Bosonic D-Branes at Finite Temperature
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves
• Hagedorn transition for strings on pp-waves and tori with chemical potentials
• TFD Approach to Bosonic Strings and $D_P$-branes
• Superstring in a pp-wave background at finite temperature - TFD approach
• Thermal Partition Function of Superstring on Compactified PP-Wave
• D-branes as coherent states in the open string channel
• Can free strings propagate across plane wave singularities?
• Null cosmological singularities and free strings: II
• D-Branes at Finite Temperature in TFD
• String Entanglement and D-branes as Pure States
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• Thermal $D$-Brane Boundary States from Green-Schwarz Superstrings
• Entanglement and entropy operator for strings in pp-wave time dependent background
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• On (b,c)-system at finite temperature in thermo field approach
• On discrete features of the wave equation in singular pp-wave backgrounds
• Correspondence Principle for Black Holes in Plane Waves
• Null cosmological singularities and free strings
• Thermofield Dynamics of the Heterotic String - Physical Aspects of the Thermal Duality -
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Canonical Quantization for a Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics
• Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach
• The exact description of NS5-branes in the Penrose limit
• First Order Semiclassical Thermal String in the AdS Spacetime
• Boltzmann Equation for Relativistic Neutral Scalar Field in Non-equilibrium Thermo Field Dynamics
• Non-Equilibrium Thermo Field Dynamics for Relativistic Complex Scalar and Dirac Fields
• Liouville-Neumann Approach to the Nonperturbative Quantum Field Theory

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