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Related papers: Global stability of ghostly field theories: Classi…

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We investigate the classical stability of two coupled scalar fields with opposite-sign kinetic terms evolving in 1+1 dimensional Minkowski spacetime. In the first part, we characterise unquenched ghostly interactions and present numerical…

High Energy Physics - Theory · Physics 2025-04-16 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

We explore the nonlinear dynamics of classical field theories containing ghost degrees of freedom, focusing on two coupled scalar fields with opposite kinetic terms in (1+1) and (2+1) dimensional Minkowski spacetime. Using a spacetime…

Dynamical Systems · Mathematics 2026-05-13 Jax Wysong , Samara Overvaag , Hyun Lim , Jung-Han Kimn

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…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

We present a new method to analytically prove global stability in ghost-ridden dynamical systems. Our proposal encompasses all prior results and consequentially extends them. In particular, we show that stability can follow from a conserved…

High Energy Physics - Theory · Physics 2025-01-16 Verónica Errasti Díez , Jordi Gaset Rifà , Georgina Staudt

We consider the classical linear stability of a static universe filled with a non-interacting mixture of isotropic radiation and a ghost scalar field. Unlike the conventional Einstein static model, this cosmology is stable against…

General Relativity and Quantum Cosmology · Physics 2009-11-19 John D Barrow , Christos G Tsagas

Ghost fields have reemerged in a handful of phenomenologically motivated cosmological and particle physics scenarios, and most recently in a cyclic mechanism to address the fine-tuning of gauge couplings in the standard model. We study the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Stephon Alexander , Sam Cormack , David Lowe , Robert Sims

In this paper we investigate wormhole and spherically symmetric solutions in 4D gravity plus a matter source consisting of a ghost scalar field with a sine-Gordon potential. For the wormhole solutions we also include the possibility of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Vladimir Dzhunushaliev , Vladimir Folomeev , Ratbay Myrzakulov , Douglas Singleton

The aim of these notes is to provide a self-contained review of why it is generically a problem when a solution of a theory possesses ghost fields among the perturbation modes. We define what a ghost field is and we show that its presence…

High Energy Physics - Theory · Physics 2018-05-18 Fulvio Sbisà

We present a simple class of mechanical models where a canonical degree of freedom interacts with another one with a negative kinetic term, i.e. with a ghost. We prove analytically that the classical motion of the system is completely…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Cédric Deffayet , Shinji Mukohyama , Alexander Vikman

We review the appearance of multiple scalar fields in linearized SFT based cosmological models with a single non-local scalar field. Some of these local fields are canonical real scalar fields and some are complex fields with unusual…

High Energy Physics - Theory · Physics 2013-12-03 Federico Galli , Alexey S. Koshelev

We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the stability analysis is inconsistent in the…

General Relativity and Quantum Cosmology · Physics 2021-02-24 K. A. Bronnikov , Júlio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C. O. Santos

In this paper, two things are done. (i) First, it is shown that any global symmetry of a gauge-invariant theory can be extended to the ghosts and the antifields so as to leave invariant the solution of the master-equation (before gauge…

High Energy Physics - Theory · Physics 2016-08-15 Friedemann Brandt , Marc Henneaux , André Wilch

We study compact configurations with a nontrivial wormholelike spacetime topology supported by a complex ghost scalar field with a quartic self-interaction. For this case, we obtain regular asymptotically flat equilibrium solutions…

General Relativity and Quantum Cosmology · Physics 2018-01-09 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

We present a new approach to the problem of proving global stability, based on symplectic geometry and with a focus on systems with several conserved quantities. We also provide a proof of instability for integrable systems whose momentum…

Mathematical Physics · Physics 2025-10-28 Verónica Errasti Díez , Jordi Gaset Rifà , Manuel Lainz

Landscape analyses often assume the existence of large numbers of fields, $N$, with all of the many couplings among these fields (subject to constraints such as local supersymmetry) selected independently and randomly from simple (say…

High Energy Physics - Theory · Physics 2016-12-23 Michael Dine

We analyze the behavior of the scalar field as dark energy of the Universe in a static world of galaxies and clusters of galaxies. We find the analytical solutions of evolution equations of the density and velocity perturbations of dark…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-22 Bohdan Novosyadlyj , Maksym Tsizh , Yurij Kulinich

We consider here the dynamics of some homogeneous and isotropic cosmological models with $N$ interacting classical scalar fields non-minimally coupled to the spacetime curvature, as an attempt to generalize some recent results obtained for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Brenig , A. Figueiredo , E. Gunzig , T. M. Rocha Filho , Alberto Saa

The spacetime singularities play a useful role in gravitational theories by distinguishing physical solutions from non-physical ones. The problem, we studying in this paper is: are these singularities stable? To answer this question, we…

High Energy Physics - Theory · Physics 2015-06-26 Peter K. Silaev , Slava G. Turyshev

In previous work, we analyzed the linear and nonlinear stability of static, spherically symmetric wormhole solutions to Einstein's field equations coupled to a massless ghost scalar field. Our analysis revealed that all these solutions are…

General Relativity and Quantum Cosmology · Physics 2010-03-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

Interacting theories with higher derivatives involve ghosts. They correspond to instabilities that display themselves at the classical level. We notice that comparatively "benign" mechanical higher-derivative systems exist where the…

High Energy Physics - Theory · Physics 2016-09-06 A. V. Smilga
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