Localization of nonlocal theories
arXiv:0712.2237 · doi:10.1016/j.physletb.2008.03.024
Abstract
We show that a certain class of nonlocal scalar models, with a kinetic operator inspired by string field theory, is equivalent to a system which is local in the coordinates but nonlocal in an auxiliary evolution variable. This system admits both Lagrangian and Hamiltonian formulations, and its Cauchy problem and quantization are well-defined. We classify exact nonperturbative solutions of the localized model which can be found via the diffusion equation governing the fields.
12 pages; v2: typos corrected
References in corpus (31)
- Bouncing Universes in String-inspired Gravity
- Nonlocal Cosmology
- Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons
- On the Nonlinear Dynamical Equation in the p-adic String Theory
- Time Evolution in Superstring Field Theory on non-BPS brane.I. Rolling Tachyon and Energy-Momentum Conservation
- Analytic Solutions for Marginal Deformations in Open String Field Theory
- Route to nonlocal cosmology
- A Nonlocal Metric Formulation of MOND
- p-adic Inflation
- Bouncing and Accelerating Solutions in Nonlocal Stringy Models
- Hamiltonian Formalism for Space-time Non-commutative Theories
- Large Nongaussianity from Nonlocal Inflation
- Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
- Time Lumps in Nonlocal Stringy Models and Cosmological Applications
- Cosmological tachyon from cubic string field theory
- Non-local SFT Tachyon and Cosmology
- Numerical Study of Nonlinear Equations with Infinite Number of Derivatives
- Perturbative Approach to Higher Derivative and Nonlocal Theories
- Fading Gravity and Self-Inflation
- Cosmic acceleration and crossing of w=-1 barrier in non-local Cubic Superstring Field Theory model
- Nonlinear equations for p-adic open, closed, and open-closed strings
- Taming the Tachyon in Cubic String Field Theory
- A Canonical Formalism For Lagrangians With Nonlocality Of Finite Extent
- Stretching the Inflaton Potential with Kinetic Energy
- Stress Tensors in p-adic String Theory and Truncated OSFT
- Tachyon solutions in boundary and cubic string field theory
- Physical Degrees of Freedom of Non-local Theories
- A new rolling tachyon solution of cubic string field theory
- A solution to the 4-tachyon off-shell amplitude in cubic string field theory
- The Ostrogradskian Instability of Lagrangians with Nonlocality of Finite Extent
- A Note on Non-Locality and Ostrogradski's Construction
Cited by in corpus (89)
- Super-renormalizable Quantum Gravity
- Cosmology of the Lifshitz universe
- Super-renormalizable & Finite Gravitational Theories
- Dynamics of Nonlocal Cosmology
- Super-renormalizable or Finite Lee-Wick Quantum Gravity
- Reconstructing the Distortion Function for Nonlocal Cosmology
- Newtonian limit of nonlocal cosmology
- Universally Finite Gravitational & Gauge Theories
- Spacetime completeness of non-singular black holes in conformal gravity
- Nonlocal quantum gravity and M-theory
- Nonlocal gravity and the diffusion equation
- Renormalization group in super-renormalizable quantum gravity
- Towards LHC Physics with Non-local Standard Model
- Large Nongaussianity from Nonlocal Inflation
- Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
- Thermal Duality and Hagedorn Transition from p-adic Strings
- Screening of cosmological constant in non-local cosmology
- De Sitter Universe in Nonlocal Gravity
- Diffusing non-local inflation: Solving the field equations as an initial value problem
- Scattering amplitudes in super-renormalizable gravity
- A New Formulation of the Initial Value Problem for Nonlocal Theories
- Nonlocality in string theory
- Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
- Finite Temperature Solitons in Non-Local Field Theories from p-Adic Strings
- Exact solutions and spacetime singularities in nonlocal gravity
- Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
- Reconstruction Procedure in Nonlocal Cosmological Models
- Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
- Nonlocal instantons and solitons in string models
- Cosmological Solutions of a Nonlocal Model with a Perfect Fluid
- Finite quantum gravity in dS and AdS spacetimes
- Non-perturbative spectrum of non-local gravity
- Cosmological Daemon
- Cosmological perturbations in SFT inspired non-local scalar field models
- Weak-field limit and regular solutions in polynomial higher-derivative gravities
- Kinks of open superstring field theory
- Black-hole entropy and minimal diffusion
- Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
- Acausality in Nonlocal Gravity Theory
- Analysis of scalar perturbations in cosmological models with a non-local scalar field
- Cosmological rolling solutions of nonlocal theories
- Unitarity and microscopic acausality in a nonlocal theory
- Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation
- String theory as a diffusing system
- Non-local -mimetic gravity
- Thermodynamics of String Field Theory Motivated Nonlocal Models
- Dynamics and Stability of Light-Like Tachyon Condensation
- Nonlinear stability of Minkowski spacetime in Nonlocal Gravity
- Energy Conditions in Non-local Gravity
- De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity
- UV Completion on the Worldline
- Generalized Lee-Wick Formulation from Higher Derivative Field Theories
- Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology
- Phase Space description of Nonlocal Teleparallel Gravity
- Quantization of nonlocal fractional field theories via the extension problem
- Noether symmetry in a nonlocal f(T) Gravity
- Retarded field of a uniformly accelerated source in non-local scalar field theory
- Hamiltonian for scalar field model of infinite derivative gravity
- Primordial Density Perturbations and Reheating from Gravity
- Non-Local Gravity from Hamiltonian Point of View
- Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism
- Universality of the Unruh effect
- Perturbative stability of SFT-based cosmological models
- Non-local scalar fields in static spacetimes via heat kernels
- Ghosts in classes of non-local gravity
- Infinite-derivative linearized gravity in convolutional form
- Confining complex ghost degrees of freedom
- Finite Quantum Gravity
- Delays in Open String Field Theory
- Finite Entanglement Entropy of Black Holes
- Do the Spirits Rise?
- Stability and causality of multi-local theories
- Asymptotic nonlocality
- Classical and Quantum Nonlocal Supergravity
- The Volume of the Past Light-Cone and the Paneitz Operator
- Representations of the fractional d'Alembertian and initial conditions in fractional dynamics
- Worldline theories with towers of internal states
- Does nonlocal gravity yield divergent gravitational energy-momentum fluxes?
- Fate of the false vacuum in string-inspired nonlocal field theory
- Sobolev spaces on locally compact abelian groups
- Fractional Particle and Sigma Model
- Infinite Derivatives vs Integral Operators. The Moeller-Zwiebach Puzzle
- Sobolev spaces on Gelfand pairs
- Scaling Transformation for Nonlocal Interactions
- On linear differential equations with infinitely many derivatives
- Nonlinear pseudo-differential equations defined by elliptic symbols on ${\lp}$ and the fractional Laplacian
- Diffusion method in field theories with fakeons
- Towards Hamiltonian Formalism for String Field Theory and Nonlocality
- The stability of the de-Sitter universe in nonlocal gravity