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In this paper we show that there is a universal prediction for the Newtonian potential for an infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost-free at a perturbative level, the…

General Relativity and Quantum Cosmology · Physics 2018-01-30 James Edholm , Alexey S. Koshelev , Anupam Mazumdar

The non linear aspects of a recently proposed model of massive spin-2 particles with propagating torsion are studied. We obtain a nonlinear equation which reduces at linear order to a generalized Fierz-Pauli equation in any background…

High Energy Physics - Theory · Physics 2011-09-16 Cédric Deffayet , Seifallah Randjbar-Daemi

It is a review paper. General relativity (GR) is presented in the field theoretical form, where gravitational field (metric perturbations) together with other physical fields are propagated in an auxiliary arbitrary curved background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Petrov

We investigate the gravitational one-loop divergences of the standard model in large extra dimensions, with gravitons propagating in the (4+delta)-dimensional bulk and gauge fields as well as scalar and fermionic multiplets confined to a…

High Energy Physics - Phenomenology · Physics 2009-08-03 Andreas Rodigast , Theodor Schuster

We provide a full analysis of ghost free higher derivative field theories with coupled degrees of freedom. Assuming the absence of gauge symmetries, we derive the degeneracy conditions in order to evade the Ostrogradsky ghosts, and analyze…

High Energy Physics - Theory · Physics 2017-06-29 Marco Crisostomi , Remko Klein , Diederik Roest

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"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

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…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Ali Teimouri

The inclusion of higher derivatives is a necessary condition for a renormalizable or superrenormalizable local theory of quantum gravity. On the other hand, higher derivatives lead to classical instabilities and a loss of unitarity at the…

High Energy Physics - Theory · Physics 2025-11-20 Manuel Asorey , Gastão Krein , Miguel Pardina , Ilya L. Shapiro

It is shown that, in the absence of matter fields, the coupling of a scalar field to the non-chiral Plebanski action can be obtained by relaxing the trace component of the simplicity constraints. This is realized by considering a subclass…

General Relativity and Quantum Cosmology · Physics 2011-11-07 D. Beke

We present a systematic construction of the most general first order Lagrangian describing an arbitrary number of interacting Maxwell and Proca fields on Minkowski spacetime. To this aim, we first formalize the notion of a Proca field, in…

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

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

The concepts of pole mass and width are extended to unstable fermions in the general framework of parity-nonconserving gauge theories, such as the Standard Model. In contrast with the conventional on-shell definitions, these concepts are…

High Energy Physics - Theory · Physics 2008-11-26 Bernd A. Kniehl , Alberto Sirlin

We study linear metric perturbations around a spherically symmetric static spacetime for general f(R,G) theories, where R is the Ricci scalar and G is the Gauss-Bonnet term. We find that unless the determinant of the Hessian of f(R,G) is…

General Relativity and Quantum Cosmology · Physics 2011-06-02 Antonio De Felice , Teruaki Suyama , Takahiro Tanaka

We discuss a class of (local and non-local) theories of gravity that share same properties: i) they admit the Einstein spacetime with arbitrary cosmological constant as a solution; ii) the on-shell action of such a theory vanishes and iii)…

High Energy Physics - Theory · Physics 2015-06-04 Sergey N. Solodukhin

We study the behavior of the pole of the fermion propagator, in QED in $n$-dimensions, in a general class of gauges which interpolate between the covariant, the axial and the Coulomb gauges. We use Nielsen identities, following from the…

High Energy Physics - Theory · Physics 2015-06-16 Ashok K. Das , J. Frenkel

With standard Einstein gravity not being renormalizable at the quantum level there is much interest in studying higher-derivative quantum gravity theories. Thus just as a Ricci-scalar-based action produces a propagator that behaves as a…

High Energy Physics - Theory · Physics 2021-09-28 Philip D. Mannheim

We perform a full Hamiltonian constraint analysis of pure Ricci-scalar-squared ($R^2$) gravity to clarify recent controversies regarding its particle spectrum. While it is well established that the full theory consistently propagates three…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Will Barker , Dražen Glavan

In this paper, we explore the Klein-Gordon field theory in $(D+1)$ dimensions in the presence of a $(D-1)$-dimensional hyperplanar $\delta$-like potential that couples quadratically to the field derivatives. This model effectively…

High Energy Physics - Theory · Physics 2025-08-18 J. C. Fernandes , J. P. Ferreira , F. E. Barone , F. A. Barone , G. Flores-Hidalgo , L. H. C. Borges

We give a simple proof of perturbative unitarity in gauge theories and quantum gravity using a special gauge that allows us to separate the physical poles of the free propagators, which are quantized by means of the Feynman prescription,…

High Energy Physics - Theory · Physics 2019-12-10 Damiano Anselmi

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