Complex Lagrangians and phantom cosmology

2006/04/30 by A. A. Andrianov, F. Cannata, Alexander Yu. Kamenshchik +1 · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Quantum Mechanics and Non-Hermitian Physics #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1088/0305-4470/39/32/s02

published as J.Phys.A39:9975-9982,2006 · 11 pages, to be published in J.Phys.A, refs. added

arxiv created 2006/05/01 · openalex publication_date 2006/07/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 equations of motion.

Citations

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Solution of Schwinger-Dyson Equations for \cal PT-Symmetric Quantum Field Theory
• The Case for a Positive Cosmological Lambda-term

Cited by

• A return to observability near exceptional points in a schematic PT-symmetric model
• PHANTOM UNIVERSE FROM CPT SYMMETRIC QFT