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

References in corpus (1)

• Can dark energy evolve to the Phantom?

Cited by in corpus (9)

• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• Scattering theory using smeared non-Hermitian potentials
• A return to observability near exceptional points in a schematic PT-symmetric model
• Reconstruction of scalar potentials in two-field cosmological models
• Non-Hermitian quantum mechanics in non-commutative space
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
• Quantum toboggans: models exhibiting a multisheeted PT symmetry