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A graviton of a nonzero mass and decay width propagates five physical polarizations. The question of interactions of these polarizations is crucial for viability of models of massive/metastable gravity. This question is addressed in the…

High Energy Physics - Theory · Physics 2009-11-10 Gregory Gabadadze

We prove that vector fields described by the generalized Proca class of theories do not admit a consistent coupling to a gravitational sector defined by a scalar-tensor theory of the degenerate type. Under the assumption that there exists a…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Sebastian Garcia-Saenz

Complex vector fields with Maxwell, Chern-Simons and Proca terms are minimally coupled to an Abelian gauge field. The consistency of the spectrum is analysed and 1-loop quantum corrections to the self-energy are explicitly computed and…

High Energy Physics - Theory · Physics 2009-10-28 O. M. Del Cima , F. A. B. Rabelo de Carvalho

Recently Boulanger and Leclercq have constructed cubic four derivative $3-3-2$ vertex for interaction of spin 3 and spin 2 particles. This vertex is trivially invariant under the gauge transformations of spin 2 field, so it seemed that it…

High Energy Physics - Theory · Physics 2009-01-27 Yu. M. Zinoviev

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

We consider theories for scalar and vector fields coupled to the energy-momentum tensor. Since these fields also carry a non-trivial energy-momentum tensor, the coupling prescription generates self-interactions. In analogy with gravity…

High Energy Physics - Theory · Physics 2018-05-15 Jose Beltran Jimenez , Jose A. R. Cembranos , Jose M. Sanchez Velazquez

We show that self-interacting vector field theories exhibit unphysical behaviour even when they are not coupled to any external field. This means any theory featuring such vectors is in danger of being unphysical, an alarming prospect for…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Andrew Coates , Fethi M. Ramazanoğlu

The theory of self-consistent effective interactions in nuclei is extended for a system with a velocity dependent mean potential. By means of the field coupling method, we present a general prescription to derive effective interactions…

Nuclear Theory · Physics 2009-09-25 T. Kubo , H. Sakamoto , T. Kammuri , T. Kishimoto

It has been argued that a self-interacting massive vector field is pathological due to a dynamical formation of a singular effective metric of the vector field, which is the onset of a gradient or ghost instability. We discuss that this…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Katsuki Aoki , Masato Minamitsuji

The canonical analysis of Proca's theory in five dimensions with a compact dimension is performed. From the Proca five dimensional action, we perform the compactification process on a S^1/\mathbf{Z_2} orbifold, then, we analyze the four…

Mathematical Physics · Physics 2014-02-14 Alberto Escalante , Carlos L. Pando Lambruschini , Prihel Cavildo

Given any (Feynman) propagator which is Lorentz and translation invariant, it is possible to construct an action functional for a scalar field such that the quantum field theory, obtained by path integral quantization, leads to this…

High Energy Physics - Theory · Physics 2020-11-10 T. Padmanabhan

In this work a class of massive scalar field theories with self-interactions described by a general potential is studied. Under the sole condition that the potential admits the Fourier representation, it is shown that such theories may be…

High Energy Physics - Theory · Physics 2010-03-30 Franco Ferrari

We study the self conjugate dark matter (DM) particles interacting primarily with the standard model leptons in an effective field theoretical frame work. We consider SM gauge invariant effective contact interactions between the Majorana…

High Energy Physics - Phenomenology · Physics 2021-01-27 Hrishabh Bharadwaj , Ashok Goyal

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

We propose a novel discretization of tangent vector fields for triangle meshes. Starting with a Phong map continuously assigning normals to all points on the mesh, we define an extrinsic bases for continuous tangent vector fields by using…

Graphics · Computer Science 2026-01-16 Hongyi Liu , Oded Stein , Amir Vaxman , Mirela Ben-Chen , Misha Kazhdan

The interaction potential of a two-dimensional system of excitons with spatially separated electron-hole layers is considered in the strong magnetic field limit. The excitons are assumed to have free dynamics in the $x$-$y$ plane, while…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. Olivares-Robles , S. E. Ulloa

We present some exact results about universal quantities derived from the local density matrix, for a free massive Dirac field in two dimensions. We first find the trace of powers of the density matrix in a novel fashion, which involves the…

Other Condensed Matter · Physics 2011-02-16 H. Casini , C. D. Fosco , M. Huerta

We complete the first stage of constructing a theory of fields not investigated before; these fields transform according to Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible…

High Energy Physics - Theory · Physics 2007-05-23 L. M. Slad

Relativistic and non-relativistic modern nucleon-nucleon potentials are mapped on a relativistic operator basis using projection techniques. This allows to compare the various potentials at the level of covariant amplitudes were a…

Nuclear Theory · Physics 2016-08-16 O. Plohl , C. Fuchs , E. N. E. van Dalen

We develop a field-theoretic description of large-scale structure formation by taking the non-relativistic limit of a canonically transformed, real scalar field which is minimally coupled to scalar gravitational perturbations in…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Pavel Friedrich , Tomislav Prokopec