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We present for the first time a ghost-free higher-derivative chiral model with a propagating auxiliary F-term field (highest component of the chiral multiplet). We obtain this model by removing a ghost in a higher derivative chiral model,…

High Energy Physics - Theory · Physics 2016-09-21 Toshiaki Fujimori , Muneto Nitta , Yusuke Yamada

Many theories of modified gravity with higher order derivatives are usually ignored because of serious problems that appear due to an additional ghost degree of freedom. Most dangerously, it causes an immediate decay of the vacuum. However,…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Frank Könnig , Henrik Nersisyan , Yashar Akrami , Luca Amendola , Miguel Zumalacárregui

Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic mathematical structure of this method by giving an…

High Energy Physics - Theory · Physics 2011-12-12 Ali Mostafazadeh

We solve a physically significant extension of a classic problem in the theory of diffusion, namely the Ornstein-Uhlenbeck process [G. E. Ornstein and L. S. Uhlenbeck, Phys. Rev. 36, 823, (1930)]. Our generalised Ornstein-Uhlenbeck systems…

Statistical Mechanics · Physics 2009-11-11 V. Bezuglyy , B. Mehlig , M. Wilkinson , K. Nakamura , E. Arvedson

Here we prove unitarity of the recently found fourth-order self-dual model of spin-2 by investigating the analytic structure of its propagator. The model describes massive particles of helicity +2 (or -2) in $D=2+1$ and corresponds to the…

High Energy Physics - Theory · Physics 2013-05-29 D. Dalmazi

Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

We show how to construct supersymmetric actions for higher-derivative scalar field theories of the form P(X,phi), within the context of d=4, N=1 supersymmetry. This construction is of general use, and is applied to write supersymmetric…

High Energy Physics - Theory · Physics 2015-05-20 Justin Khoury , Jean-Luc Lehners , Burt Ovrut

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…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Brage Gording , Angnis Schmidt-May

We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions - the Neumann…

High Energy Physics - Theory · Physics 2023-08-30 Anamaria Hell , Dieter Lust , George Zoupanos

We consider a Hamiltonian system of particles, interacting through of a smooth pair potential. We look at the system on a space scale of order {\epsilon}^1, times of order {\epsilon}^2, and mean velocities of order {\epsilon}, with…

Mathematical Physics · Physics 2023-05-11 Raffaele Esposito , Rossana Marra

It is shown by an explicit calculation that the excitations about the self-accelerating cosmological solution of the Dvali--Gabadaze--Porrati model contain a ghost mode. This raises serious doubts about viability of this solution. Our…

High Energy Physics - Theory · Physics 2008-11-26 Dmitry Gorbunov , Kazuya Koyama , Sergei Sibiryakov

This contribution reviews scalar-tensor theories whose Lagrangian contains second-order derivatives of a scalar field but nevertheless propagate only one scalar mode (in addition to the usual two tensor modes), and are thus not plagued with…

General Relativity and Quantum Cosmology · Physics 2018-03-05 David Langlois

In general, to avoid a singularity in cosmological models involves the introduction of exotic kind of matter fields, for example, a scalar field with negative energy density. In order to have a bouncing solution in classical General…

General Relativity and Quantum Cosmology · Physics 2019-10-23 O. Galkina , J. C. Fabris , F. T. Falciano , N. Pinto-Neto

Unitarity of scale-invariant coupled theory of higher-derivative gravity and matter is investigated. A scalar field coupled with dirac fermion is taken as matter sector.Following the idea of induced gravity Einstein-Hilbert term is…

High Energy Physics - Theory · Physics 2017-10-23 Gaurav Narain

The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy…

Statistical Mechanics · Physics 2015-10-05 Hector Mera , T. G. Pedersen , Branislav K. Nikolic

The theory of ghost imaging is developed in a Gaussian-state framework that both encompasses prior work - on thermal-state and biphoton-state imagers - and provides a complete understanding of the boundary between classical and quantum…

Quantum Physics · Physics 2009-11-13 Baris I. Erkmen , Jeffrey H. Shapiro

We study the creation and evolution of cosmological perturbations in renormalizable quadratic gravity with a Weyl term. We adopt a prescription that implies the stability of the vacuum at the price of introducing a massive spin-two ghost…

High Energy Physics - Theory · Physics 2016-12-13 Mikhail M. Ivanov , Anna A. Tokareva

We study a class of supersymmetric spinning particle models derived from the radial quantization of stationary, spherically symmetric black holes of four dimensional N= 2 supergravities. By virtue of the c-map, these spinning particles move…

High Energy Physics - Theory · Physics 2015-05-18 David Cherney , Emanuele Latini , Andrew Waldron

Based on an integration by parts formula for closed and convex subsets $\Gamma$ of a separable real Hilbert space $H$ with respect to a Gaussian measure, we first construct and identify the infinite dimensional analogue of the obliquely…

Probability · Mathematics 2015-12-31 Michael Röckner , Gerald Trutnau

We discuss the no-ghost theorem in the massive gravity in a covariant manner. Using the BRST formalism and St\"{u}ckelberg fields, we first clarify how the Boulware-Deser ghost decouples in the massive gravity theory with Fierz-Pauli mass…

High Energy Physics - Theory · Physics 2014-05-07 Taichiro Kugo , Nobuyoshi Ohta