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We present the most general quadratic curvature action with torsion including infinite covariant derivatives and study its implications around the Minkowski background via the Palatini approach. Provided the torsion is solely given by the…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Aindriú Conroy

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

广义相对论与量子宇宙学 · 物理学 2018-11-27 Ali Teimouri

We present the construction of a gravitational action including an infinite series of higher derivative terms. The outcome is a classically consistent completion of a well-studied quadratic curvature theory. The closed form for the full…

广义相对论与量子宇宙学 · 物理学 2018-10-12 Brage Gording , Angnis Schmidt-May

This paper presents a new higher derivative gravity which in spontaneous breaking electroweak symmetry state does not have ghost in gravity sector. We show that Newton constant of the gravity and dark energy density they depend on the…

高能物理 - 理论 · 物理学 2015-06-04 V. I. Tkach

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

广义相对论与量子宇宙学 · 物理学 2008-11-26 T. Damour , S. Deser , J. McCarthy

In the recently proposed non-local theory of quantum gravity one can avoid massive tensor ghosts at the tree level by a special choice of the non-local form factor between the two Ricci tensors. We show that at the quantum level this theory…

高能物理 - 理论 · 物理学 2015-06-23 Ilya L. Shapiro

In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized…

高能物理 - 理论 · 物理学 2020-04-15 Luca Buoninfante , Gaetano Lambiase , Yuichi Miyashita , Wataru Takebe , Masahide Yamaguchi

A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two…

广义相对论与量子宇宙学 · 物理学 2018-10-03 Ercan Kilicarslan

It was recently found that, when linearised in the absence of matter, 58 cases of the general gravitational theory with quadratic curvature and torsion are (i) free from ghosts and tachyons and (ii) power-counting renormalisable. We inspect…

广义相对论与量子宇宙学 · 物理学 2021-10-13 W. E. V. Barker , A. N. Lasenby , M. P. Hobson , W. J. Handley

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic…

高能物理 - 理论 · 物理学 2015-06-16 Tirthabir Biswas , Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of…

广义相对论与量子宇宙学 · 物理学 2020-05-26 Sandipan Sengupta

Typically higher-derivative theories are unstable. Instabilities manifest themselves from extra propagating degrees of freedom, which are unphysical. In this paper, we will investigate an infinite derivative field theory and study its true…

高能物理 - 理论 · 物理学 2017-05-23 Spyridon Talaganis , Ali Teimouri

Canonical analysis of a recently proposed [1] linear+quadratic curvature gravity model in D=3 displays its pure fourth derivative quadratic branch as a ghost-free (massless) excitation. Hence it both negates an old no-go theorem and is…

高能物理 - 理论 · 物理学 2009-09-11 S Deser

We consider the simplest nontrivial supersymmetric quantum mechanical system involving higher derivatives. We unravel the existence of additional bosonic and fermionic integrals of motion forming a nontrivial algebra. This allows one to…

数学物理 · 物理学 2008-11-26 Didier Robert , Andrei. V. Smilga

With an appropriate choice of parameters, a higher derivative theory of gravity can describe a normal massive sector and a ghost massless sector. We show that, when defined on an asymptotically de Sitter spacetime with Dirichlet boundary…

高能物理 - 理论 · 物理学 2015-06-11 Minjoon Park , Lorenzo Sorbo

Recently, a class of theories of massive gravity has been shown to be ghost-free. We study the spherically symmetric solutions in the bigravity formulation of such theories. In general, the solutions admit both a Lorentz invariant and a…

高能物理 - 理论 · 物理学 2013-05-30 D. Comelli , M. Crisostomi , F. Nesti , L. Pilo

We remark that Ostrogradsky ghosts in higher-derivative gravity, with a finite number of derivatives, are fictitious as they result from an unjustified truncation performed in a complete theory containing infinitely many curvature…

高能物理 - 理论 · 物理学 2020-10-20 Iberê Kuntz
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