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Related papers: Gravitational Properties of the Proca Field

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Extending the Proca Lagrangian of a massive complex-valued vector field by self-interaction potential, we construct a large class of spherically symmetric solutions in flat Minkowski background as well as in the self-gravitating case. Our…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Y. Brihaye , Th. Delplace , Y. Verbin

We present a method that is optimized to explicitly obtain all the constraints and thereby count the propagating degrees of freedom in (almost all) manifestly first order classical field theories. Our proposal uses as its only inputs a…

High Energy Physics - Theory · Physics 2020-09-30 Verónica Errasti Díez , Markus Maier , Julio A. Méndez-Zavaleta , Mojtaba Taslimi Tehrani

In order to facilitate the study of weak ultra-relativistic (and Planckian) scattering we present an appropriate decomposition of the gravitational field together with its whole non-linear action. More generally the results apply to any…

High Energy Physics - Theory · Physics 2011-03-22 Barak Kol

The world formulation of the full theory of classical Proca fields in generally relativistic spacetimes is concisely reviewed and the entire set of pertinent field equations is transcribed in a straightforward way into the framework of one…

General Relativity and Quantum Cosmology · Physics 2022-12-29 S. I. Santos Junior , J. G. Cardoso

We consider the finite interactions of the generalized Proca theory including the sixth-order Lagrangian and derive the full linear perturbation equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker background in the…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

We conjecture an intrinsic UV cutoff for the validity of the effective field theory with a large number of species coupled to gravity. In four dimensions such a UV cutoff takes the form $\Lambda=\sqrt{\lambda/ N}M_p$ for $N$ scalar fields…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang

In this paper we follow an effective theory approach to study the nonrelativistic limit of a selfgravitating and selfinteracting massive vector field. Our effective theory is characterized by three parameters: the field's mass $m_0$ and the…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Emmanuel Chávez Nambo , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

Positivity bounds on scattering amplitudes provide a necessary condition for a low-energy effective field theory to have a consistent ultraviolet completion. Their extension to gravity theories has been studied in the past years aiming at…

High Energy Physics - Theory · Physics 2023-08-24 Toshifumi Noumi , Sota Sato , Junsei Tokuda

For a massive vector field with derivative self-interactions, the breaking of the gauge invariance allows the propagation of a longitudinal mode in addition to the two transverse modes. We consider generalized Proca theories with…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa , Ying-li Zhang , Gong-Bo Zhao

We derive the profile of a vector field coupled to matter on a static and spherically symmetric background in the context of generalized Proca theories. The cubic Galileon self-interaction leads to the suppression of a longitudinal vector…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Shintaro Nakamura , Ryotaro Kase , Shinji Tsujikawa

Inspired by the problem of Planckian scattering we describe a classical effective field theory for weak ultra relativistic scattering in which field propagation is instantaneous and transverse and the particles' equations of motion localize…

High Energy Physics - Theory · Physics 2011-08-08 Barak Kol

The Proca field describes a massive relativistic spin-$1$ particle and was originally formulated in Minkowski spacetime. Here we consider a variety of generalizations in globally hyperbolic spacetimes, including couplings between a number…

Mathematical Physics · Physics 2025-11-17 Christopher J. Fewster , Christiane K. M. Klein

We confront massive Proca-Nuevo gravity with cosmological observations. The former is a non-linear theory involving a massive spin-1 field, that can be extended incorporating operators of the Generalized Proca class, and when coupled to…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Fotios K. Anagnostopoulos , Emanuel N. Saridakis

Recently a one-parameter extension of the covariant Heisenberg algebra with the extension parameter $l$ ($l$ is a non-negative constant parameter which has a dimension of $[momentum]^{-1}$) in a $(D+1)$-dimensional Minkowski space-time has…

High Energy Physics - Theory · Physics 2020-04-15 M. Ranaiy , S. K. Moayedi

The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static, cylindrically symmetric metric and matter…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Y. Brihaye , Y. Verbin

We derive the weak field limit for a gravitational Lagrangian density $L_{g}=(R+a_{0}R^{2}+\sum_{k=1}^{p} a_{k}R\Box^{k}R)\sqrt{-g}$ where higher-order derivative terms in the Ricci scalar $R$ are taken into account. The interest for this…

General Relativity and Quantum Cosmology · Physics 2019-02-11 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

The Weak Gravity Conjecture (WGC) bounds the mass of a particle by its charge. It is expected that this bound can not be below the ultraviolet cut-off scale of the effective theory. Recently, an extension of the WGC was proposed in the…

High Energy Physics - Theory · Physics 2018-04-04 Dieter Lust , Eran Palti

This study investigates the compatibility of the electroweak sector of particle physics with quantum gravity, under the assumption that the conventional S-matrix positivity bounds can be extended to gravitational context. It focuses on…

High Energy Physics - Theory · Physics 2023-12-15 Tran Quang Loc

Extended Palatini gravity is the metric-affine gravity theory characterized by zero torsion, nonzero metricity and a quadratic of the antisymmetric Ricci curvature. It reduces dynamically to general relativity plus a geometric Proca field.…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Durmuş Demir , Khalid Gabriel , Ammar Kasem , Shaaban Khalil

Connections between weak gravity conjecture (WGC) bounds and scattering positivity have been extensively studied over the past decade. This work further explores these connections by proposing positivity as a potential amplitude criterion…

High Energy Physics - Theory · Physics 2025-05-08 Tran Quang Loc
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