Global and local stability for ghosts coupled to positive energy degrees of freedom

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Global and local stability for ghosts coupled to positive energy degrees of freedom

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Global and local stability for ghosts coupled to positive energy degrees of freedom

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Kosmologie, gravitace a temný sektor vesmíru</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Cosmology and Astroparticle Physics

ISSN

1475-7516

e-ISSN

1475-7516

Svazek periodika

2023

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

51

Strana od-do

031

Kód UT WoS článku

001167989300007

EID výsledku v databázi Scopus

2-s2.0-85177493883