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We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calder\'on projectors to recover a quantum state for the Lorentzian…

Mathematical Physics · Physics 2026-03-17 Christian Gérard , Michał Wrochna

The de Sitter conjecture yields a severe bound on possible vacua for a consistent quantum gravity. We extend the de Sitter conjecture by taking into account dynamics of the scalar field. We then apply such an extended de Sitter conjecture…

High Energy Physics - Theory · Physics 2025-12-30 Muneto Nitta , Kunihito Uzawa

We study the effect of vortices on the tunneling decay of a symmetry-breaking false vacuum in three spacetime dimensions with gravity. The scenario considered is one in which the initial state, rather than being the homogeneous false…

High Energy Physics - Theory · Physics 2017-11-15 Eric Dupuis , Yan Gobeil , Bum-Hoon Lee , Wonwoo Lee , Richard MacKenzie , Manu B. Paranjape , Urjit A. Yajnik , Dong-han Yeom

In this work, we consider a generalised gravitational theory that contains the Einstein term, a scalar field and the quadratic Gauss-Bonnet term. We focus on the early-universe dynamics, and demonstrate that a simple choice of the coupling…

High Energy Physics - Theory · Physics 2015-10-28 Panagiota Kanti , Radouane Gannouji , Naresh Dadhich

An oscillating, compact Friedmann universe with a massive conformally coupled scalar field is studied in the framework of quantum cosmology. The scalar field is treated as a perturbation and we look for solutions of the Wheeler-DeWitt…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Thibault Damour , Alexander Vilenkin

We study the bounce and cyclicity realization in the framework of new gravitational scalar-tensor theories. In these theories the Lagrangian contains the Ricci scalar and its first and second derivatives, in a specific combination that…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Emmanuel N. Saridakis , Shreya Banerjee , R. Myrzakulov

The origin of negative pressure fluid (the dark energy) is investigated in the quantum model of the homogeneous, isotropic and closed universe filled with a uniform scalar field and a perfect fluid which defines a reference frame. The…

General Relativity and Quantum Cosmology · Physics 2008-12-19 V. E. Kuzmichev , V. V. Kuzmichev

The role that the auxiliary scalar field $\phi$ played in Brans-Dicke cosmology is discussed. If a constant vacuum energy is assumed to be the origin of dark energy, then the corresponding density parameter would be a quantity varying with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chi-Yi Chen , Kang Li , You-Gen Shen

In the in-/out-state formalism we find the exact one-loop effective action of a massive scalar field in the global coordinates of de Sitter spaces, which is a gravity analog of the Heisenberg-Euler action in QED. The nonperturbative…

High Energy Physics - Theory · Physics 2010-08-04 Sang Pyo Kim

We study the effects of a fixed de Sitter geometry background in scenarios of false vacuum decay. It is currently understood that bubble nucleation processes associated with first order phase transitions are particularly important in…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Juan S. Cruz , Stephan Brandt , Maximilian Urban

de Sitter space-time has a one complex parameter family of invariant vacua for the theory of a free, massive scalar field. For most of these vacua, in an interacting scalar theory the one loop corrections diverge linearly for large values…

High Energy Physics - Theory · Physics 2009-11-10 Hael Collins , R. Holman , Matthew R. Martin

We study Fubini instantons of a self-gravitating scalar field. The Fubini instanton describes the decay of a vacuum state under tunneling instead of rolling in the presence of a tachyonic potential. The tunneling occurs from the maximum of…

High Energy Physics - Theory · Physics 2015-06-04 Bum-Hoon Lee , Wonwoo Lee , Changheon Oh , Daeho Ro , Dong-han Yeom

We investigate the bounce solutions in vacuum decay problems. We show that it is possible to have a stable false vacuum in a potential that is unbounded from below.

High Energy Physics - Theory · Physics 2019-05-22 J. A. González , A. Bellorín , Mónica A. García-Ñustes , L. E. Guerrero , S. Jiménez , Juan F. Marín , L. Vázquez

We study particle decay in de Sitter space-time as given by first order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the "phase space"…

High Energy Physics - Theory · Physics 2014-11-18 Jacques Bros , Henri Epstein , Ugo Moschella

The cosmological constant $\Lambda$ is a measure of the energy density of the vacuum. Therefore properties of the energy of the system in the metastable vacuum state reflect properties of $\Lambda = \Lambda(t)$. We analyze properties of the…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Krzysztof Urbanowski

We have investigated the cosmological scenarios with a four dimensional effective action which is connected with multidimensional, supergravity and string theories. The solution for the scale factor is such that initially universe undergoes…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. A. Sen , S. Sen

We interpret the Euclidean solution of JT de Sitter gravity as the Coleman-de Luccia instanton for the decay of the low-entropy horizon of its static patch solution into either a Big Crunch or an infinite-entropy Lorentzian de Sitter…

High Energy Physics - Theory · Physics 2026-01-16 Sidan A , Tom Banks

We provide a cosmological implementation of the evolutionary quantum gravity, describing an isotropic Universe, in the presence of a negative cosmological constant and a massive (preinflationary) scalar field. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Francesco Cianfrani , Giovanni Montani , Fabrizio Pittorino

An additional variation of the Einstein-Hilbert action with respect to the Planck mass provides a constraint on the average Ricci scalar that prevents vacuum energy from gravitating. Consideration of the evolution of the inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Lucas Lombriser

We find the novel effect on the decay of a false vacuum in view of quantum field theory, which is induced by a field coupling to the scalar field related to a first-order phase transition. This effect of the environment can never be…

High Energy Physics - Phenomenology · Physics 2010-09-13 Shigeki Matsumoto , Keiko I. Nagao , Makoto Nakamura , Masato Senami
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