Unitary Time Evolution and Vacuum for a Quantum Stable Ghost
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911618619670528 |
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| author | Deffayet, Cédric Jalali, Atabak Fathe Held, Aaron Mukohyama, Shinji Vikman, Alexander |
| author_facet | Deffayet, Cédric Jalali, Atabak Fathe Held, Aaron Mukohyama, Shinji Vikman, Alexander |
| contents | We quantize a classically stable system of a harmonic oscillator polynomially coupled to a ghost with negative kinetic energy. We prove that due to an integral of motion with a positive discrete spectrum: i) the Hamiltonian has a pure point spectrum unbounded in both directions, ii) the evolution is manifestly unitary, iii) the vacuum is well-defined, iv) expectation values for squares of canonical variables are bounded. Numerical solutions of the Schrödinger equation confirm these results. We argue that the discrete spectrum of the integral of motion enforces stability for extended interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21823 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unitary Time Evolution and Vacuum for a Quantum Stable Ghost Deffayet, Cédric Jalali, Atabak Fathe Held, Aaron Mukohyama, Shinji Vikman, Alexander High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics We quantize a classically stable system of a harmonic oscillator polynomially coupled to a ghost with negative kinetic energy. We prove that due to an integral of motion with a positive discrete spectrum: i) the Hamiltonian has a pure point spectrum unbounded in both directions, ii) the evolution is manifestly unitary, iii) the vacuum is well-defined, iv) expectation values for squares of canonical variables are bounded. Numerical solutions of the Schrödinger equation confirm these results. We argue that the discrete spectrum of the integral of motion enforces stability for extended interactions. |
| title | Unitary Time Evolution and Vacuum for a Quantum Stable Ghost |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2604.21823 |