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One of the few firm predictions of string theory is the existence of a massless scalar field coupled to gravity, the dilaton. In its presence, the value of the fundamental constants of the universe, such as the fine-structure constant, will…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Léo Vacher , Nils Schöneberg , J. D. F. Dias , C. J. A. P. Martins , Francisco Pimenta

An emergent gapless Goldstone mode originates from continuous spontaneous symmetry breaking, which has become a doctrine since the pioneering work by Goldstone [J. Goldstone, Nuovo Cimento \textbf{19}, 154 (1961)]. However, we argue that it…

Strongly Correlated Electrons · Physics 2023-11-02 Huan-Qiang Zhou , Qian-Qian Shi , Yan-Wei Dai

Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint from a zero-mode argument. Their…

High Energy Physics - Theory · Physics 2014-06-30 Shuang-Yong Zhou

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

Bouncing solutions are obtained from a generally covariant action characterized by a potential which is a nonlocal functional of the dilaton field at two separated space-time points. Gradient instabilities are shown to arise in this context…

High Energy Physics - Theory · Physics 2017-04-12 Massimo Giovannini

A recent paper (arXiv:1404.5619) claimed the presence of a loophole in the current-algebra proof of Goldstone Theorem. The enforcing of manifest covariance would lead to contradictory results also in scalar theory. We show that the argument…

High Energy Physics - Theory · Physics 2014-04-30 A. Guerrieri , A. Pilloni

Gravitational theories with fixed background fields break local Lorentz and diffeomorphism invariance either explicitly or spontaneously. In the case of explicit breaking it is known that conflicts can arise between the dynamics and…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Robert Bluhm

Self-consistent Hamiltonian formulation of scalar theory on the null plane is constructed following Dirac method. The theory contains also {\it constraint equations}. They would give, if solved, to a nonlinear and nonlocal Hamiltonian. The…

High Energy Physics - Theory · Physics 2010-11-01 Prem P. Srivastava

After a review of theoretical motivations to consider theories with direct couplings of scalar fields to Ricci and gauge curvature terms, we consider the dynamics and non-perturbative stabilization of a dilaton in three and in four…

High Energy Physics - Theory · Physics 2009-10-30 Rainer Dick

The exact symmetry induced by the global shift of energy scale for the cosmological constant in the action of matter fields is spontaneously broken by setting the density of real vacuum energy and explicitly broken by the gravity that means…

General Relativity and Quantum Cosmology · Physics 2019-11-28 Ja. V. Balitsky , V. V. Kiselev

Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gerard 't Hooft

We study a scale-invariant model of quadratic gravity with a non-minimally coupled scalar field. We focus on cosmological solutions and find that scale invariance is spontaneously broken and a mass scale naturally emerges. Before the…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Massimiliano Rinaldi , Luciano Vanzo

We study spatially homogeneous and isotropic solutions to the equations of motion derived from dilaton gravity, in the presence of a special combination of higher derivative terms in the gravitational action. All solutions are nonsingular.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Brandenberger , Richard Easther , J. Maia

The possibility of mass in the context of scale-invariant, generally covariant theories, is discussed. The realizations of scale invariance which are considered, are in the context of a gravitational theory where the action, in the first…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. I. Guendelman

Scalar QED is studied with higher order derivatives for the scalar field kinetic energy. A local potential is generated for the gauge field due to the covariant derivatives and the vacuum with non-vanishing expectation value for the scalar…

High Energy Physics - Theory · Physics 2015-05-30 Janos Polonyi , Alicja Siwek

We derive and solve the full set of scalar perturbation equations for a class of five-dimensional brane--world solutions, with a dilaton scalar field coupled to the bulk cosmological constant and to a 3-brane. The spectrum contains one…

High Energy Physics - Theory · Physics 2007-05-23 V. Bozza , M. Gasperini , G. Veneziano

A model of Einstein-Hilbert action subject to the scale transformation is studied. By introducing a dilaton field as a means of scale transformation a new action is obtained whose Einstein field equations are consistent with traceless…

General Relativity and Quantum Cosmology · Physics 2010-08-25 F. Darabi

We point out the idea that, at small scales, gravity can be described by the standard degrees of freedom of general relativity, plus a scalar particle and a degree of freedom of a new type: the fakeon. This possibility leads to fundamental…

High Energy Physics - Theory · Physics 2020-01-08 Marco Piva

Spontaneous scalarization is an interesting mechanism for modification of gravity by nonminimal coupling of a scalar field to matter or curvature invariants in the context of scalar-tensor theories, and its onset is signaled by linear…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Hayato Motohashi , Shinji Mukohyama

We revisit the quantization of matter-coupled, two-dimensional dilaton gravity. At the classical level and with a cosmological term, a series of field transformations leads to a set of free fields of indefinite signature. Without matter the…

High Energy Physics - Theory · Physics 2009-10-28 D. Cangemi , R. Jackiw , B. Zwiebach