Complex Lagrangians and phantom cosmology

Abstract

Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary dark energy to the phantom one. The model is based on a classical complex Lagrangian of a scalar field. Specific symmetry properties analogous to PT in non-Hermitian quantum mechanics lead to purely real equation of motion.

11 pages, to be published in J.Phys.A, refs. added

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Cited by in corpus (27)

• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Braneworld dynamics in Einstein-Gauss-Bonnet gravity
• Scattering theory using smeared non-Hermitian potentials
• A return to observability near exceptional points in a schematic PT-symmetric model
• Construction of Exact Solutions in Two-Fields Models and the Crossing of the Cosmological Constant Barrier
• Spectral singularities for Non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
• Reconstruction of scalar potentials in two-field cosmological models
• Crypto-unitary forms of quantum evolution operators
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Non-Hermitian quantum mechanics in non-commutative space
• Phantom universe from CPT symmetric QFT
• Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
• Integrable modified gravity cosmological models with an additional scalar field
• Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
• Phantom without phantom or how the PT symmetry saves us from the Big Rip
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Inhomogeneous modes in the PT-symmetric quantum cosmology
• PT-symmetric quantum systems with positive P
• Two-field cosmological models and large-scale cosmic magnetic fields
• Quantum toboggans: models exhibiting a multisheeted PT symmetry
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• The Cosmological Models with Jump Discontinuities
• Quantum control and the challenge of non-Hermitian model-building
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology
• Cryptohermitian Hamiltonians on graphs. II. Hermitizations