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The Horndeski scalar-tensor theory and its recent extensions allow nonlinear derivative interactions of the scalar degree of freedom. We study the matter bispectrum of large scale structure as a probe of these modified gravity theories,…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-30 Shin'ichi Hirano , Tsutomu Kobayashi , Hiroyuki Tashiro , Shuichiro Yokoyama

We consider a model belonging to the class of gravities with dynamical torsion. The model is free of ghosts and gradient instabilities about Minkowski and torsionless Einstein backgrounds. We find that at zero cosmological constant, the…

High Energy Physics - Theory · Physics 2017-10-19 V. Nikiforova , S. Randjbar-Daemi , V. Rubakov

In this paper, the ghost-freeness of the higher derivative theory proposed by Hassan et al. in [Universe 1 (2015) 2, 92] is investigated. Hassan et al. believed the ghost-freeness of the higher derivative theory based on the analysis in the…

High Energy Physics - Theory · Physics 2018-06-07 Satoshi Akagi

We describe a Lorentzian manifold that is globally hyperbolic and geodesically complete, but such that the (minimally coupled) Klein-Gordon operator with the standard domain is not essentially self-adjoint.

Mathematical Physics · Physics 2021-09-07 Wojciech Kamiński

Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein gravity and Standard…

High Energy Physics - Theory · Physics 2008-11-26 H. Figueroa , J. M. Gracia-Bondia , F. Lizzi , J. C. Varilly

The unimodular version of the ghost-free higher derivative gravity is obtained. It is the unimodular reduction of some particular lagrangians quadratic in curvature.

High Energy Physics - Theory · Physics 2017-12-27 Enrique Alvarez , Sergio Gonzalez-Martin

The supersymmetry invariance of flat supergravity (i.e., supergravity in the absence of any internal scale in the Lagrangian) in four dimensions on a manifold with non-trivial boundary is explored. Using a geometric approach we find that…

High Energy Physics - Theory · Physics 2019-01-29 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We analyze the effective Hamiltonian arising from a suitable power series expansion of the overlap integrals of Wannier functions for confined bosonic atoms in a 1d optical lattice. For certain constraints between the coupling constants, we…

Other Condensed Matter · Physics 2010-01-21 L. Amico , G. Mazzarella , S. Pasini , F. S. Cataliotti

We study the Horndeski vector-tensor theory that leads to second order equations of motion and contains a non-minimally coupled abelian gauge vector field. This theory is remarkably simple and consists of only 2 terms for the vector field,…

High Energy Physics - Theory · Physics 2013-11-18 Jose Beltrán Jiménez , Ruth Durrer , Lavinia Heisenberg , Mikjel Thorsrud

We study, following Bertini et al. \cite{Bertini:2011ga}, the hidden conformal symmetry of the massless Klein-Gordon equation in the background of the general, charged, spherically symmetric, static black-hole solution of a class of…

High Energy Physics - Theory · Physics 2015-06-04 Tomás Ortín , C. S. Shahbazi

We review the construction of $N=1$ supergravity models where the Higgs and super-Higgs effects are simultaneously realized, with naturally vanishing classical vacuum energy and goldstino components along gauge-non-singlet directions: this…

High Energy Physics - Theory · Physics 2007-05-23 Fabio Zwirner

We present the most general covariant ghost-free gravitational action in a Minkowski vacuum. Apart from the much studied f(R) models, this includes a large class of non-local actions with improved UV behavior, which nevertheless recover…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Tirthabir Biswas , Erik Gerwick , Tomi Koivisto , Anupam Mazumdar

A ghost-free metric formulation of the recently proposed covariant Galileon model \cite{RPgal} which retains the internal shift symmetry has been constructed. This presents a new result because the covariant Galileon models introduced so…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Rabin Banerjee , Sumanta Chakraborty , Arpita Mitra , Pradip Mukherjee

A new approach for embedding the renormalization group running of Newton's constant and cosmological constant in gravity is proposed. This approach is based on a gravitational Lagrangian that gives rise to a new class of modified gravity…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Alfio Bonanno , Konstantinos F. Dialektopoulos , Vasilios Zarikas

In this essay I show that there exists a new way to obtain scalar-tensor field theories by combining a special scalar field on the tangent bundle of a four-dimensional manifold with a scalar field on that manifold. These two scalar fields…

General Relativity and Quantum Cosmology · Physics 2020-10-12 Gregory W. Horndeski

In models of spontaneously broken supersymmetry, certain light gravitino processes are governed by the coupling of its Goldstino components. The rules for constructing SUSY and gauge invariant actions involving the Goldstino couplings to…

High Energy Physics - Phenomenology · Physics 2016-08-25 T. E. Clark , Taekoon Lee , S. T. Love , Guo-Hong Wu

We propose a scenario of gravity mediated supersymmetry breaking (gravity mediation) in a supersymmetric Randall-Sundrum model. In our setup, both of the visible sector and the hidden sector co-exist on the infrared (IR) brane. We introduce…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hideo Itoh , Nobuchika Okada , Toshifumi Yamashita

A nonlinearly realized supersymmetric action describing the invariant couplings of the Goldstino to matter is constructed. Using the Akulov-Volkov Lagrangian, any operator can be made part of a supersymmetric invariant action. Of particular…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. E. Clark , S. T. Love

In cubic-order Horndeski theories where a scalar field $\phi$ is coupled to nonrelativistic matter with a field-dependent coupling $Q(\phi)$, we derive the most general Lagrangian having scaling solutions on the isotropic and homogenous…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Noemi Frusciante , Ryotaro Kase , Nelson J. Nunes , Shinji Tsujikawa