Global and local stability for ghosts coupled to positive energy degrees of freedom
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F23%3A00579077" target="_blank" >RIV/68378271:_____/23:00579077 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0347952" target="_blank" >https://hdl.handle.net/11104/0347952</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1475-7516/2023/11/031" target="_blank" >10.1088/1475-7516/2023/11/031</a>
Alternative languages
Result language
angličtina
Original language name
Global and local stability for ghosts coupled to positive energy degrees of freedom
Original language description
Negative kinetic energies correspond to ghost degrees of freedom, which are potentially of relevance for cosmology, quantum gravity, and high energy physics. We present a novel wide class of stable mechanical systems where a positive energy degree of freedom interacts with a ghost. These theories have Hamiltonians unbounded from above and from below, are integrable, and contain free functions. We show analytically that their classical motion is bounded for all initial data. Moreover, we derive conditions allowing for Lyapunov stable equilibrium points. A subclass of these stable systems has simple polynomial potentials with stable equilibrium points entirely due to interactions with the ghost. All these findings are fully supported by numerical computations which we also use to gather evidence for stability in various nonintegrable systems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Cosmology, Gravity and the Dark Sector of the Universe</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Cosmology and Astroparticle Physics
ISSN
1475-7516
e-ISSN
1475-7516
Volume of the periodical
2023
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
51
Pages from-to
031
UT code for WoS article
001167989300007
EID of the result in the Scopus database
2-s2.0-85177493883