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We consider a topological coupling between a pseudo-scalar field and a 3-form gauge field in ${\cal N}=1$ supersymmetric higher derivative 3-form gauge theories in four spacetime dimensions. We show that ghost/tachyon-free higher derivative…

High Energy Physics - Theory · Physics 2019-05-28 Muneto Nitta , Ryo Yokokura

Gravitational theories with multiple scalar fields coupled to the metric and each other --- a natural extension of the well studied single-scalar-tensor theories --- are interesting phenomenological frameworks to describe deviations from…

General Relativity and Quantum Cosmology · Physics 2016-05-02 Michael Horbatsch , Hector O. Silva , Davide Gerosa , Paolo Pani , Emanuele Berti , Leonardo Gualtieri , Ulrich Sperhake

We present the details of the novel framework for Lagrangian field theories that are Lorentz-invariant and lead to at most second order equations of motion. The use of antisymmetric structure is of crucial importance. The general ghost-free…

High Energy Physics - Theory · Physics 2015-10-23 Wenliang Li

In this note we continue to pursue the question whether gauge theories can be represented in terms of effective "scalar" degrees of freedom. We provide such a consistent representation for a free photon theory in 3+1 dimensions. Building on…

High Energy Physics - Theory · Physics 2016-08-08 Ibrahim Burak Ilhan , Alex Kovner

Degenerate scalar-tensor theories are recently proposed covariant theories of gravity coupled with a scalar field. Despite being characterised by higher order equations of motion, they do not propagate more than three degrees of freedom,…

High Energy Physics - Theory · Physics 2017-03-08 Javier Chagoya , Gianmassimo Tasinato

Recently a new Lagrangian framework was introduced to describe interactions between scalar fields and relativistic perfect fluids. This allows two consistent generalizations of coupled quintessence models: non-vanishing pressures and a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-30 Tomi S. Koivisto , Emmanuel N. Saridakis , Nicola Tamanini

We study the inflationary model constructed from a Spatially Covariant Gravity (SCG). The Lagrangian for the SCG in our consideration is expressed as the polynomial of irreducible SCG monomials where the total number of derivatives of each…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Saikat Chakraborty , Khamphee Karwan , Jakkrit Sangtawee

We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

In this paper I shall consider various possible scalar-vector-tensor field theories which might be used to describe the Universe. After imposing numerous constraints of a physical and mathematical nature on the theories under consideration,…

General Relativity and Quantum Cosmology · Physics 2018-04-02 Gregory W. Horndeski

We generalize the Effective Field Theory of Inflation to include additional light scalar degrees of freedom that are in their vacuum at the time the modes of interest are crossing the horizon. In order to make the scalars light in a natural…

High Energy Physics - Theory · Physics 2015-05-19 Leonardo Senatore , Matias Zaldarriaga

For decades, a lot of work has been devoted to the problem of constructing a non-trivial quantum field theory in four-dimensional space time. This letter addresses the attempts to construct an algebraic quantum field theory in the framework…

High Energy Physics - Theory · Physics 2019-04-12 Andreas Aste

We investigate the cosmological applications of new gravitational scalar-tensor theories and we analyze them in the light of $H_0$ tension. In these theories the Lagrangian contains the Ricci scalar and its first and second derivatives in a…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Shreya Banerjee , Maria Petronikolou , Emmanuel N. Saridakis

We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the…

High Energy Physics - Theory · Physics 2018-10-30 Muneto Nitta , Ryo Yokokura

Lagrange scalar densities which are concomitants of two scalar fields, a pseudo-Riemannian metric tensor, and their derivatives of arbitrary differential order are investigated in a space of four-dimensions. I construct the most general…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Gregory W. Horndeski

We present the most general ghost-free classical Lagrangian containing first-order derivatives and describing interacting real Abelian spin-one fields on Minkowski spacetime. We study both massive Proca and massless Maxwell fields and allow…

High Energy Physics - Theory · Physics 2020-02-26 Verónica Errasti Díez , Brage Gording , Julio A. Méndez-Zavaleta , Angnis Schmidt-May

Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Kazufumi Takahashi

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We investigate the cosmological applications of new gravitational scalar-tensor theories, which are novel modifications of gravity possessing 2+2 propagating degrees of freedom, arising from a Lagrangian that includes the Ricci scalar and…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Emmanuel N. Saridakis , Minas Tsoukalas

We consider a new form of theories of gravity in which the action is written in terms of the Ricci scalar and its first and second derivatives. Despite the higher derivative nature of the action, the theory is free from ghost under an…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Atsushi Naruko , Daisuke Yoshida , Shinji Mukohyama

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato