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Non-minimally coupled scalar field models suffer of unstable growing modes at the linear perturbation level. The nature of these instabilities depends on the dynamical state of the scalar field. In particular in systems which admit…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-15 Pier Stefano Corasaniti

Scale invariance in quantum mechanics can be broken in several ways. A well-known example is the breakdown of continuous scale invariance to discrete scale invariance, whose typical realization is the Efimov effect of three-body problems.…

Quantum Physics · Physics 2026-01-15 Satoshi Ohya

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

Classical conformal invariance of QCD in the chiral limit is broken explicitly by scale anomaly. As a result, the lightest scalar particle (scalar glueball, or dilaton) in QCD is not light, and cannot be described as a Goldstone boson.…

High Energy Physics - Phenomenology · Physics 2015-05-13 Dmitri Kharzeev , Eugene Levin , Kirill Tuchin

The small and large scale problem of various passive vector models with anisotropic forcing is considered by solving exactly the equation for the pair correlation function. Emphasis is placed in the phenomena of anomalous scaling and the…

Chaotic Dynamics · Physics 2013-05-29 Heikki Arponen

Recently, a new interesting instability of a charged scalar field in the Reissner-Nordstr\"om-de Sitter background has been found (arXiv:1405.4931v2) through the time-domain integration of the perturbation equation. We investigate further…

High Energy Physics - Theory · Physics 2014-10-01 R. A. Konoplya , A. Zhidenko

The method of adiabatic invariants for time dependent Hamiltonians is applied to a massive scalar field in a de Sitter space-time. The scalar field ground state, its Fock space and coherent states are constructed and related to the particle…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bertoni , F. Finelli , G. Venturi

We derive the essential space-time spectrum of the Maxwell equations in linear isotropic inhomogeneous media together with the corresponding essential modes. These modes represent the collapse of the electromagnetic field into a single…

Classical Physics · Physics 2007-05-23 Neil V. Budko , Alexander B. Samokhin

We consider the linear perturbations for the single scalar field inflation model interacting with an additional triad of scalar fields. The background solutions of the three additional scalar fields depend on spatial coordinates with a…

General Relativity and Quantum Cosmology · Physics 2013-09-04 Seoktae Koh , Seyen Kouwn , O-Kab Kwon , Phillial Oh

By efforts of several authors, it is recently established that the dynamical behavior of the cosmological perturbation on superhorizon scales is well approximated in terms of that in the long wavelength limit, and the latter can be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Takashi Hamazaki

In cosmology an important role is played by homogeneous and isotropic solutions of the Einstein-Euler equations and linearized perturbations of these. This paper proves results on the asymptotic behaviour of scalar perturbations both in the…

Analysis of PDEs · Mathematics 2009-06-16 Paul T. Allen , Alan D. Rendall

All possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are…

High Energy Physics - Theory · Physics 2013-04-16 B. Goutéraux , E. Kiritsis

General-relativistic stable spacetimes can be made unstable under the presence of certain nonminimally coupled free scalar fields. In this paper, we analyze the evolution of linear scalar-field perturbations in spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Raissa F. P. Mendes , George E. A. Matsas , Daniel A. T. Vanzella

In this note, we prove analytic bounds on the equation of state of a cosmological fluid composed of an arbitrary number of canonical scalars evolving in a negative multi-exponential potential. Because of the negative energy, the universe is…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Gary Shiu , Flavio Tonioni , Hung V. Tran

Isocurvature perturbations in the inflationary literature typically involve quantum fluctuations of bosonic field degrees of freedom. In this work, we consider isocurvature perturbations from fermionic quantum fluctuations during inflation.…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-05 Daniel J. H. Chung , Hojin Yoo , Peng Zhou

We investigate cosmological scenarios containing one canonical scalar field with an exponential potential in the context of bouncing models, where the bounce happens due to quantum cosmological effects. The only possible bouncing solutions…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Anna Paula Bacalhau , Nelson Pinto-Neto , Sandro Dias Pinto Vitenti

We investigate the dynamical properties of a class of spatially homogeneous and isotropic cosmological models containing a barotropic perfect fluid and multiple scalar fields with independent exponential potentials. We show that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. A. Coley , R. J. van den Hoogen

We report a new critical solution found at the threshold of axisymmetric gravitational collapse of a complex scalar field with angular momentum. To carry angular momentum the scalar field cannot be axisymmetric; however, its azimuthal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , E. W. Hirschmann , S. L. Liebling , F. Pretorius

We consider the most general scale invariant radial Hamiltonian allowing for anisotropic scaling between space and time. We formulate a renormalisation group analysis of this system and demonstrate the existence of a quantum phase…

High Energy Physics - Theory · Physics 2018-10-17 Daniel K. Brattan , Omrie Ovdat , Eric Akkermans

We show that flat spectrum of small perturbations of field(s) is generated in a simple way in a theory of multi-component scalar field provided this theory is conformally invariant, it has some global symmetry and the quartic potential is…

High Energy Physics - Theory · Physics 2009-10-02 V. A. Rubakov