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We consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation…

High Energy Physics - Theory · Physics 2023-08-16 Bogdan Damski

We consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field…

High Energy Physics - Theory · Physics 2023-02-28 Bogdan Damski

We discuss the dynamics of field configurations encoded in the certain class of electric (magnetic) dipole-charged states in the Proca theory of the real massive vector field. We construct such states so as to ensure that the long distance…

High Energy Physics - Theory · Physics 2023-05-24 Bogdan Damski

Long-range field configurations exist in the Proca theory and their non-equilibrium evolution is of interest in this work. General arguments suggest that a charge can be assigned to them and that its evolution is governed by the law of…

High Energy Physics - Phenomenology · Physics 2025-04-14 Bogdan Damski

Effective field theories for cosmology offer a powerful framework to investigate the dynamics of space--time and address longstanding open puzzles. In this work, we initiate a programme to analyse the ultraviolet completion of…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Carlos Pastor-Marcos , Lavinia Heisenberg , Álvaro Pastor-Gutiérrez , Jan M. Pawlowski , Manuel Reichert

Within SU(2) Higgs-Proca theory, we obtain a family of nontopological static solutions describing localized, finite-energy configurations (Proca balls). The gauge symmetry of the theory is explicitly broken by introducing a vector Proca…

High Energy Physics - Theory · Physics 2022-02-17 Vladimir Dzhunushaliev , Vladimir Folomeev

We study Proca theory with non-minimal coupling to gravity through the Ricci tensor and Ricci scalar interactions. We show that in the homogeneous and isotropic Universe together with cosmological constant, the temporal component of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Antonio De Felice , Anamaria Hell

We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

Using effective field theory approach one can describe localization of electromagnetic field on a non-topological soliton. Pursuing this aim we consider the U(1) gauge theory with gauge kinetic coupling to a self-interacting complex neutral…

High Energy Physics - Phenomenology · Physics 2024-11-21 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

Massive vector fields feature in several areas of particle physics, e.g., as carriers of weak interactions, dark matter candidates, or as an effective description of photons in a plasma. Here we investigate vector fields with…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Katy Clough , Thomas Helfer , Helvi Witek , Emanuele Berti

In this paper we investigate the Proca-field in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Proca-field, giving a rigorous, consistent, non-perturbative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gabor Helesfai

We extend previous results on healthy derivative self-interactions for a Proca field to the case of a set of massive vector fields. We obtain non-gauge invariant derivative self-interactions for the vector fields that maintain the…

High Energy Physics - Theory · Physics 2017-03-15 Jose Beltrán Jiménez , Lavinia Heisenberg

We introduce a non-linear extension of Proca's field theory for massive vector (spin $1$) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions of the Schroedinger, Dirac, and…

General Physics · Physics 2016-07-20 F. D. Nobre , A. R. Plastino

The superradiant growth of massive vector fields in rotating black hole spacetimes has garnered significant attention in recent literature. However, the majority of these studies overlook the influence of a cosmological constant, which…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Shaun David Brocus Fell , Lavinia Heisenberg

Inspired by the Generalized Proca Theory, we study a vector-tensor model of inflation with massive vector fields and derivative self-interactions. The action under consideration contains a usual Maxwell-like kinetic term, a general…

General Relativity and Quantum Cosmology · Physics 2019-03-15 A. Oliveros , Marcos A. Jaraba

We consider self-gravitating stationary configurations of a charged massive complex Proca field, also known as charged Proca stars, in the particular case of spherical symmetry. We first present a general 3+1 decomposition of the…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Yahir Mio , Miguel Alcubierre

A fully consistent model to study electrodynamics for superconductors in the stationary and non-stationary regime has been developed based on Proca equations and a massive photon. In particular, this approach has been applied to study the…

Superconductivity · Physics 2009-11-13 M. Tajmar

We investigate the classical and quantum Proca field (a massive vector potential) of mass $m>0$ in arbitrary globally hyperbolic spacetimes and in the presence of external sources. We motivate a notion of continuity in the mass for families…

Mathematical Physics · Physics 2020-10-19 Maximilian Schambach , Ko Sanders

We discuss the mechanism by which the field vacuum energy varies as a result of strong self-interaction. We propose a non-perturbative approach to treat strong interactions and discuss the problem in terms of quasi-particles describing the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 K. Trachenko

Proca-Nuevo is a non-linear theory of a massive spin-1 field which enjoys a non-linearly realized constraint that distinguishes it among other generalized vector models. We show that the theory may be extended by the addition of operators…

High Energy Physics - Theory · Physics 2022-03-30 Claudia de Rham , Sebastian Garcia-Saenz , Lavinia Heisenberg , Victor Pozsgay
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