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A stealth de Sitter solution in scalar-tensor theories has an exact de Sitter background metric and a nontrivial scalar field profile. Recently, in the context of Degenerate Higher-Order Scalar-Tensor (DHOST) theories it was shown that…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Mohammad Ali Gorji , Hayato Motohashi , Shinji Mukohyama

We review the history of the ghost problem in quantum field theory from the Pauli-Villars regulator theory to currently popular fourth-order derivative quantum gravity theories. While these theories all appear to have unitarity-violating…

High Energy Physics - Theory · Physics 2021-02-03 Philip D. Mannheim

We review the fate of the Ostrogradsky ghost in higher-order theories. We start by recalling the original Ostrogradsky theorem and illustrate, in the context of classical mechanics, how higher-derivatives Lagrangians lead to unbounded…

High Energy Physics - Theory · Physics 2022-07-05 Alexander Ganz , Karim Noui

We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle…

High Energy Physics - Phenomenology · Physics 2021-06-30 Quentin Bonnefoy , Luca Di Luzio , Christophe Grojean , Ayan Paul , Alejo N. Rossia

We show that the requirements of renormalizability and physical consistency imposed on perturbative interactions of massive vector mesons fix the theory essentially uniquely. In particular physical consistency demands the presence of at…

High Energy Physics - Theory · Physics 2008-11-26 Michael Duetsch , Bert Schroer

Many parity violating gravity models suffer from the ghost instability problem. In this paper, we consider a symmetric teleparallel gravity model that extends the general relativity equivalent model by several parity violating interactions…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Mingzhe Li , Yeheng Tong , Dehao Zhao

Quantum Field Theory (QFT) makes predictions by combining two sets of assumptions: (1) quantum dynamics, such as a Schrodinger or Liouville equation; (2) quantum measurement, such as stochastic collapse to an eigenfunction of a measurement…

Quantum Physics · Physics 2007-05-23 Paul J. Werbos , Ludmila Dolmatova Werbos

We demonstrate the discrete duality symmetry between the Abelian 1-form and 2-form basic gauge fields in the context of a three $(2 + 1)$-dimensional ($3D$) combined system of the field-theoretic model of the free Abelian 1-from and 2-form…

High Energy Physics - Theory · Physics 2025-08-22 R. Kumar , R. P. Malik

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

High Energy Physics - Theory · Physics 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys

The combined effects of the Lorentz-symmetry violating Chern-Simons and Ricci-Cotton actions are investigated for the Einstein-Hilbert gravity in the second order formalism modified by higher derivative terms, and their consequences on the…

High Energy Physics - Theory · Physics 2012-03-29 B. Pereira-Dias , C. A. Hernaski , J. A. Helayël-Neto

In absence of matter Einstein gravity with a cosmological constant $\La$ can be formulated as a scale-free theory depending only on the dimensionless coupling constant G \Lambda where G is Newton constant. We derive the conformal field…

High Energy Physics - Theory · Physics 2009-11-11 Mariano Cadoni

We investigate the classical stability of two coupled scalar fields with opposite-sign kinetic terms evolving in 1+1 dimensional Minkowski spacetime. In the first part, we characterise unquenched ghostly interactions and present numerical…

High Energy Physics - Theory · Physics 2025-04-16 Cédric Deffayet , Aaron Held , Shinji Mukohyama , Alexander Vikman

The Aether Scalar Tensor (AeST) theory is an extension of general relativity(GR) successful at reproducing galactic rotational curves, gravitational lensing, linear large scale structure and cosmic microwave background power spectrum…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Constantinos Skordis , David M. J. Vokrouhlicky

We consider the Einstein-Cartan theory with the tetrad $e_{\mu}^{a}$ and spin connection $\omega_{\mu ab}$ taken as being independent fields. Diffeomorphism invariance and local Lorentz invariance result in there being two distinct gauge…

High Energy Physics - Theory · Physics 2025-06-05 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We construct a supersymmetric (1+1)-dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded from below, neither from above. In spite of that, there is neither classical, nor…

High Energy Physics - Theory · Physics 2015-06-16 A. V. Smilga

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about…

High Energy Physics - Theory · Physics 2011-07-26 Ram Brustein , A. J. M. Medved

Thermal states of quantum systems with many degrees of freedom are subject to a bound on the rate of onset of chaos, including a bound on the Lyapunov exponent, $\lambda_L\leq 2\pi /\beta$. We harness this bound to constrain the space of…

High Energy Physics - Theory · Physics 2016-11-23 Eric Perlmutter

We introduce new techniques that can preserve unitarity of the system including ghost particles. Negative norms of the particles can be involved in zero-norm states by constraints of the physical space. These are useful to apply the…

General Relativity and Quantum Cosmology · Physics 2010-10-26 Hajime Isimori

We develop BRST quantization of gauge theories with a soft gauge algebra on spaces with asymptotic boundaries. The asymptotic boundary conditions are imposed on background fields, while quantum fluctuations about these fields are described…

High Energy Physics - Theory · Physics 2018-10-17 Bernard de Wit , Sameer Murthy , Valentin Reys

We study the quantum aspects of the conformal gravity in four dimensions, specifically addressing a known discrepancy in beta functions between general quadratic curvature theories and conformal gravity, which corresponds to two scalar…

High Energy Physics - Theory · Physics 2025-12-25 Hikaru Kawai , Nobuyoshi Ohta