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In this letter we point out that the massive gravity theory with a graviton ghost mode in de Sitter background cannot possess a de Sitter invariant vacuum state. In order to avoid a negative norm state, we must associate the creation…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Keisuke Izumi , Takahiro Tanaka

We study the effects of Goldstone modes on the stability of the vacuum in a $U(1)$ theory for a complex scalar field. The dynamics of the field resemble those of Keplerian motion in the presence of time-dependent friction, whose equations…

High Energy Physics - Theory · Physics 2020-05-20 Mulham Hijazi , Apostolos Pilaftsis

In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

We provide a novel, concise and self-contained evaluation of true- and false vacuum decay rates in general relativity. We insist on general covariance and choose observable boundary conditions, which yields the well known false-vacuum decay…

High Energy Physics - Theory · Physics 2018-09-17 Thomas C. Bachlechner

We study quantum mechanical tunneling using complex solutions of the classical field equations. Simple visualization techniques allow us to unify and generalize previous treatments, and straightforwardly show the connection to the standard…

High Energy Physics - Theory · Physics 2016-09-21 Sebastian F. Bramberger , George Lavrelashvili , Jean-Luc Lehners

We propose a model for modified gravity that meets the conditions of viability. The model has stable constant curvature solution and for an special case contains flat space time solution. The model also leads to matter stability under small…

General Relativity and Quantum Cosmology · Physics 2015-06-22 L. N. Granda

We present a fast and efficient method for studying vacuum stability constraints in multi-scalar theories beyond the Standard Model. This method is designed for a reliable use in large scale parameter scans. The minimization of the scalar…

High Energy Physics - Phenomenology · Physics 2019-05-01 Wolfgang G. Hollik , Georg Weiglein , Jonas Wittbrodt

Using cosmological perturbation theory we show that the most relevant defor- mation of gravity is consistent at the linear level. In particular, we prove the absence of uni- tarity violating negative norm states in the weak coupling regime…

High Energy Physics - Theory · Physics 2015-03-19 Felix Berkhahn , Dennis D. Dietrich , Stefan Hofmann

We consider a model where a scalar field develops a metastable vacuum state and weakly interacts with another scalar field. In this situation we find the probability of decay of the false vacuum stimulated by the presence and collisions of…

High Energy Physics - Theory · Physics 2010-04-13 A. Monin , M. B. Voloshin

We study false vacuum decays catalysed by magnetic monopoles which act as tunnelling sites with exponentially enhanced decay rates. The field profiles describing the decay do not have the typically assumed $O(3)/O(4)$ symmetry, thus…

High Energy Physics - Phenomenology · Physics 2022-09-07 Prateek Agrawal , Michael Nee

We study the gravitational collapse of a homogeneous scalar field, minimally coupled to gravity, in the presence of a particular type of dynamical deformation between the canonical momenta of the scale factor and of the scalar field. In the…

General Relativity and Quantum Cosmology · Physics 2014-03-05 S. M. M. Rasouli , A. H. Ziaie , J. Marto , P. V. Moniz

Tunneling in quantum field theory is well understood in the case of a single scalar field. However, in theories with spontaneous symmetry breaking, one has to take into account the additional zero modes which appear due to the Goldstone…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Kusenko

The study of cosmological perturbation theory in $f(T)$ gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Manuel Hohmann , Jackson Levi Said , Christian Pfeifer , Emmanuel N. Saridakis

The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension $d>2$…

High Energy Physics - Theory · Physics 2023-02-22 J. R. Espinosa , J. -F. Fortin

We consider the definition of the global vacuum state of a quantum scalar field on $n$-dimensional anti-de Sitter space-time as seen by an observer rotating about the polar axis. Since positive (or negative) frequency scalar field modes…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Carl Kent , Elizabeth Winstanley

We consider the decay of "false kinks," that is, kinks formed in a scalar field theory with a pair of degenerate symmetry-breaking false vacua in 1+1 dimensions. The true vacuum is symmetric. A second scalar field and a peculiar potential…

High Energy Physics - Theory · Physics 2015-07-29 Éric Dupuis , Yan Gobeil , Richard MacKenzie , Luc Marleau , M. B. Paranjape , Y. Ung

We compute the influence action for a system perturbatively coupled to a linear scalar field acting as the environment. Subtleties related to divergences that appear when summing over all the modes are made explicit and clarified. Being…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Albert Roura , Enric Verdaguer

We study false vacuum decay catalyzed by black holes. We consider a scalar field model with unstable potential in the background of a dilaton black hole in two dimensions. The model reproduces many features of the Schwarzschild black hole…

High Energy Physics - Theory · Physics 2026-03-19 Bowen Hu , Kohei Kamada , Andrey Shkerin

We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar…

High Energy Physics - Theory · Physics 2020-10-07 Wen-Yuan Ai , Juan S. Cruz , Bjorn Garbrecht , Carlos Tamarit

Quantum decay of a relativistic scalar field from a false vacuum is a fundamental idea in quantum field theory. It is relevant to models of the early Universe, where the nucleation of bubbles gives rise to an inflationary universe and the…

Quantum Gases · Physics 2015-06-24 O. Fialko , B. Opanchuk , A. I. Sidorov , P. D. Drummond , J. Brand