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Related papers: Non-Trivial Ghosts and Second Class Constraints

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In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling $F(\phi)=e^{-2Q\phi}$ with the Ricci scalar $R$ we…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

A toy model (suggested by Klauder) is analyzed from the perspective of First Class and Second Class Dirac constrained systems. The comparison is made by turning a First Class into a Second Class system with the introduction of suitable…

Quantum Physics · Physics 2021-08-31 Eyo Eyo Ita , Chopin Soo , Abraham Tan

Vertex corrections are taken into account in the Schwinger-Dyson equation for the nucleon propagator in a relativistic field theory of fermions and mesons. The usual Hartree-Fock approximation for the nucleon propagator is known to produce…

Nuclear Theory · Physics 2008-11-26 G. Krein , M. Nielsen , R. D. Puff , L. Wilets

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

We look at and compare two different methods developed earlier for inducing gauge invariances in systems with second class constraints. These two methods, the Batalin-Fradkin method and the Gauge Unfixing method, are applied to a number of…

High Energy Physics - Theory · Physics 2007-05-23 A. S. Vytheeswaran

The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is done over an empty anisotropic universe, i.e. the Kasner-type background, in order to show that an anisotropic background in general has…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-27 Antonio De Felice , Takahiro Tanaka

We explore the possibility of realising self-accelerated expansion of the Universe taking into account the vector components of a massive graviton. The effective action in the decoupling limit contains an infinite number of terms, once the…

High Energy Physics - Theory · Physics 2015-05-30 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We derive sufficient conditions for theories consisting of multiple vector fields, which could also couple to external fields, to be multi-field generalised Proca theories. The conditions are derived by demanding that the theories have the…

High Energy Physics - Theory · Physics 2024-01-09 Sujiphat Janaun , Pichet Vanichchapongjaroen

We address some recent concerns about the absence of the Boulware-Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to…

High Energy Physics - Theory · Physics 2015-06-04 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We develop a hybrid formalism suitable for modeling scalar field dark matter, in which the phase-space distribution associated to the real scalar field is modeled by statistical equal-time two-point functions and gravity is treated by two…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Tomislav Prokopec , Pavel Friedrich

We propose a modified gravity theory that propagates only two local gravitational degrees of freedom and that does not have an Einstein frame. According to the classification in JCAP 01 (2019) 017 [arXiv:1810.01047 [gr-qc]], this is a…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Antonio De Felice , Andreas Doll , Shinji Mukohyama

Based on the Effective Field Theory (EFT) of cosmological perturbations, we explicitly clarify the pathology in nonsingular cubic Galileon models and show how to cure it in EFT with new insights into this issue. With the least set of EFT…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Yong Cai , Hai-Guang Li , Taotao Qiu , Yun-Song Piao

We consider generic derivative corrections to the Einstein gravity and find new classes of theories without ghost around the Minkowski background by means of an extension of the spacetime geometry. We assume the Riemann-Cartan geometry,…

High Energy Physics - Theory · Physics 2019-10-02 Katsuki Aoki , Shinji Mukohyama

Theories that contain first class constraints possess gauge invariance which results in the necessity of altering the measure in the associated quantum mechanical path integral. If the path integral is derived from the canonical structure…

High Energy Physics - Theory · Physics 2017-07-12 D. G. C. McKeon

Complex mass poles, or ghost poles, are present in the Hartree-Fock solution of the Schwinger-Dyson equation for the nucleon propagator in renormalizable models with Yukawa-type meson-nucleon couplings, as shown many years ago by Brown,…

Nuclear Theory · Physics 2009-10-30 C. A. da Rocha , G. Krein , L. Wilets

Quadratic gravity is a fourth-order (in derivatives) theory that can serve as an attractive upgrade to the standard description of gravity provided by General Relativity, thanks to its renormalizability and its built-in description of…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Jisuke Kubo , Jeffrey Kuntz

We report a gravitational $BF$-type action principle propagating two (complex) degrees of freedom that, besides the gauge connection and the $B$ field, only employs an additional Lagrange multiplier. The action depends on two parameters and…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Diego Gonzalez , Mariano Celada , Merced Montesinos

Ghost-free bimetric gravity is an extension of general relativity, featuring a massive spin-2 field coupled to gravity. We parameterize the theory with a set of observables having specific physical interpretations. For the background…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Marcus Högås , Edvard Mörtsell

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

Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations ("gaugings"), i.e., the deformations that preserve the number (but…

High Energy Physics - Theory · Physics 2018-04-04 Glenn Barnich , Nicolas Boulanger , Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar
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