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One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit a more sophisticated particle mass spectrum. Already in the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Manuel Asorey , Gastao Krein , Miguel Pardina , Ilya L. Shapiro

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive…

High Energy Physics - Theory · Physics 2011-07-25 Claudia de Rham , Gregory Gabadadze , Andrew J. Tolley

We study a model of n coupled scalar fields in Minkowski spacetime where all masses degenerate, which is considered as a toy model of polycritical gravity on AdS spacetime. We quantize this model within the Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2013-10-30 Yong-Wan Kim , Yun Soo Myung , Young-Jai Park

A quark model with general Yang-Mills $SU_3$ symmetry leads to fourth-order field equations and linear confining potential. The confining gauge bosons (`confions') are treated as off-mass-shell particles and their indefinite energies are…

General Physics · Physics 2017-07-13 Jong-Ping Hsu

We propose a regular classical field theory realisation of the Dvali-Gabadadze-Porrati mechanism by considering our universe to be the four-dimensional core of a seven dimensional 't Hooft-Polyakov hypermonopole. We show the existence of…

High Energy Physics - Theory · Physics 2009-01-16 Antonio De Felice , Christophe Ringeval

We consider a problem whether bound states are made in a scalar theory with a fourth-order derivative term or not. After rewriting the theory to a standard scalar theory with second-order derivative terms, we calculate a correlation…

High Energy Physics - Theory · Physics 2026-03-23 Ichiro Oda

We show the generic existence of metastable massive gravitons in the four-dimensional core of self-gravitating hypermonopoles in any number of infinite-volume extra-dimensions. Confinement is observed for Higgs and gauge bosons couplings of…

High Energy Physics - Theory · Physics 2012-05-08 Sean Murray , Christophe Ringeval , Simone Zonetti

We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic operator between two states. We proceed by…

High Energy Physics - Theory · Physics 2010-02-03 Michael Chesterman

Theories with infinite volume extra dimensions open exciting opportunities for particle physics. We argued recently that along with attractive features there are phenomenological difficulties in this class of models. In fact, there is no…

High Energy Physics - Theory · Physics 2009-10-31 G. Dvali , G. Gabadadze , M. Porrati

We remark that Ostrogradsky ghosts in higher-derivative gravity, with a finite number of derivatives, are fictitious as they result from an unjustified truncation performed in a complete theory containing infinitely many curvature…

High Energy Physics - Theory · Physics 2020-10-20 Iberê Kuntz

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts

Adding terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable. This property is preserved in the presence of the most general renormalizable couplings with (and of) a generic quantum field theory…

High Energy Physics - Theory · Physics 2018-08-23 Alberto Salvio

Unimodular gravity (UG) is an interesting theory that may explain why the cosmological constant is extremely small, in contrast to general relativity (GR). The theory has only the transverse diffeomorphism invariance and this causes lots of…

High Energy Physics - Theory · Physics 2022-04-27 Taichiro Kugo , Ryuichi Nakayama , Nobuyoshi Ohta

We find unitary and local theories of higher curvature gravity in the vielbein formalism, known as the Poincar\'{e} gauge theory by utilizing the equivalence to the ghost-free massive bigravity. We especially focus on three and four…

High Energy Physics - Theory · Physics 2021-01-13 Katsuki Aoki

The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons $A_{\mathrm {tr}}$ the field content of the non-perturbative BRST quartet generated by $A_{\mathrm…

High Energy Physics - Theory · Physics 2011-09-14 Natalia Alkofer , Reinhard Alkofer

In the context of perturbative quantum field theory, the addition of quadratic-curvature invariants to the Einstein-Hilbert action makes it possible to achieve strict renormalizability in four dimensions. The additional terms $R^2$ and…

High Energy Physics - Theory · Physics 2023-12-12 Luca Buoninfante

We investigate the stability against inhomogeneous perturbations and the appearance of ghost modes in Gauss-Bonnet gravitational theories with a non-minimally coupled scalar field, which can be regarded as either the dilaton or a…

High Energy Physics - Theory · Physics 2008-11-26 Gianluca Calcagni , Beatriz de Carlos , Antonio De Felice

We present the manifestly covariant quantization of quadratic gravity or higher-derivative gravity in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance on the basis of the BRST transformation. We…

High Energy Physics - Theory · Physics 2025-05-15 Ichiro Oda

We consider Higgs massive gravity [1,2] and investigate whether a nonlinear ghost in this theory can be avoided. We show that although the theory considered in [10,11] is ghost free in the decoupling limit, the ghost nevertheless reappears…

High Energy Physics - Theory · Physics 2011-04-11 Lasma Alberte , Ali H. Chamseddine , Viatcheslav Mukhanov

Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stueckelberg trick,…

High Energy Physics - Theory · Physics 2016-04-27 Kurt Hinterbichler , Mehdi Saravani
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