Topological defects in nonlocal field theories
arXiv:2203.04942 · doi:10.1007/JHEP11(2022)104
Abstract
In this paper, we study for the first time topological defects in the context of nonlocal field theories in which Lagrangians contain infinite-order differential operators. In particular, we analyze domain walls. Despite the complexity of non-linear infinite-order differential equations, we are able to find an approximate analytic solution. We first determine the asymptotic behavior of the nonlocal domain wall close to the vacua. Then, we find a linearized nonlocal solution by perturbing around the well-known local 'kink', and show that it is consistent with the asymptotic behavior. We develop a formalism to study the solution around the origin, and use it to verify the validity of the linearized solution. We find that nonlocality makes the width of the domain wall thinner, and the energy per unit area smaller as compared to the local case. For the specific domain wall solution under investigation, we derive a theoretical constraint on the energy scale of nonlocality which must be larger than the corresponding symmetry-breaking scale. We also briefly comment on other topological defects like string and monopole.
arXiv comment43 pages, 6 figures
References in corpus (46)
- Towards singularity and ghost free theories of gravity
- Super-renormalizable Quantum Gravity
- Bouncing Universes in String-inspired Gravity
- Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons
- Superrenormalizable quantum gravity with complex ghosts
- A review of gravitational waves from cosmic domain walls
- On singularities of spherically symmetric backgrounds in string theory
- Occurrence of exact inflation in non-local UV-complete gravity
- Mass-gap for black hole formation in higher derivative and ghost free gravity
- Time Evolution in Superstring Field Theory on non-BPS brane.I. Rolling Tachyon and Energy-Momentum Conservation
- Classical properties of non-local, ghost- and singularity-free gravity
- Super-renormalizable or Finite Lee-Wick Quantum Gravity
- Ghost-free infinite derivative quantum field theory
- Dynamics with Infinitely Many Derivatives: The Initial Value Problem
- Nonlocal and quasi-local field theories
- Cutkosky Rules for Superstring Field Theory
- Perturbative unitarity of Lee-Wick quantum field theory
- A new formulation of Lee-Wick quantum field theory
- Cutkosky rules and perturbative unitarity in Euclidean nonlocal quantum field theories
- The gravitational field of static p-branes in linearized ghost-free gravity
- inflation to probe non-perturbative quantum gravity
- Numerical Study of Nonlinear Equations with Infinite Number of Derivatives
- Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
- Non-singular metric for an electrically charged point-source in ghost-free infinite derivative gravity
- Aspects of Nonlocality in Quantum Field Theory, Quantum Gravity and Cosmology
- Generalized ghost-free propagators in nonlocal field theories
- Unitarity of Minkowski non-local theories made explicit
- Non-Gaussianities and tensor-to-scalar ratio in non-local -like inflation
- Nonlocal instantons and solitons in string models
- Nonlocal vertices and analyticity: Landau equations and general Cutkosky rule
- Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon
- Nonlocal generalization of Galilean theories and gravity
- Quantum scattering on a delta potential in ghost-free theory
- NUT charge in linearized infinite derivative gravity
- Nonlocal gravity with worldline inversion symmetry
- Mapping between Witten and Lightcone String Field Theories
- Initial value problem in string-inspired nonlocal field theory
- Probing the vacuum fluctuations in scalar ghost-free theories
- UV Completion on the Worldline
- Angle deficit & non-local gravitoelectromagnetism around a slowly spinning cosmic string
- Strongly Coupled String-inspired Infinite Derivative Non-local Yang-Mills: Diluted Mass Gap
- Non-local Lagrangian Mechanics: Noether theorem and Hamiltonian formalism
- Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism
- Non-locality and gravitoelectromagnetic duality
- Junction conditions in infinite derivative gravity
- Gravitational field of scalar lumps in higher-derivative gravity