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We define a group of extended non-Abelian gauge transformations for tensor gauge fields. On this group one can define generalized field strength tensors, which are transforming homogeneously with respect to the extended gauge…

High Energy Physics - Theory · Physics 2007-05-23 George Savvidy

Scalar-tensor theories allow for a rich spectrum of quasinormal modes of neutron stars. The presence of the scalar field allows for polar monopole and dipole radiation, as well as for additional higher multipole modes led by the scalar…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Jose Luis Blázquez-Salcedo , Luis Manuel González-Romero , Fech Scen Khoo , Jutta Kunz , Vincent Preut

We extend the left-right symmetric model with an additional non-abelian $SU(2)$ gauge symmetry. The particle content is augmented by one generation of vector-like fermions transforming under the fundamental representation of this new gauge…

High Energy Physics - Phenomenology · Physics 2026-03-10 Yassine Bouzeraib , Mohamed Sadek Zidi

We present a brief review of the non-Abelian tensor gauge field theory and analyze its free field equations for lower rank gauge fields when the interaction coupling constant tends to zero. The free field equations are written in terms of…

High Energy Physics - Theory · Physics 2010-05-12 George Savvidy

We consider the theory of a generic rank-2 tensor field in three spacetime dimensions, which involves a symmetric tensor field transforming under infinitesimal diffeomorphisms, and a vector field, whose gauge transformation depends on a…

High Energy Physics - Theory · Physics 2025-02-03 Erica Bertolini , Alberto Blasi , Nicola Maggiore

We reformulate the abelian tensor multiplet on a curved spacetime with at least two supercharges in a cohomological form where all the bosonic and fermionic fields become tensor fields. These tensor fields are rewritten as fields in loop…

High Energy Physics - Theory · Physics 2025-11-19 Dongsu Bak , Andreas Gustavsson

Antisymmetric tensor gauge fields phi_{ab}(eta) are formulated on the surface of a sphere S_4t(eta^2 = a^2) embedded in five dimensions. The free field model is equivalent to a scalar model on this sphere. Interactions with gauge fields are…

High Energy Physics - Theory · Physics 2009-11-10 D. G. C. McKeon

We discuss various proposals of separating a tensor field into pure-gauge and gauge-invariant components. Such tensor field decomposition is intimately related to the effort of identifying the real gravitational degrees of freedom out of…

General Relativity and Quantum Cosmology · Physics 2011-11-30 Xiang-Song Chen , Ben-Chao Zhu

A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary systems. In order to study these effects, we…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Adrien Kuntz , Federico Piazza , Filippo Vernizzi

The perturbative expansion of tensorial field theories in Feynman graphs can be interpreted as weighted generating series of some piecewise linear varieties. This simple fact establishes a link between two a priori distinct fields: the…

Combinatorics · Mathematics 2023-12-04 Victor Nador

We study a general Scalar-Tensor Theory with an arbitrary coupling funtion $\omega (\phi )$ but also an arbitrary dependence of the ``gravitational constant'' $G(\phi )$ in the cases in which either one of them, or both, do not admit an…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Diego F. Torres , Héctor Vucetich

An action for a massless graviton interacting with a massive tensor field is proposed. The model is based on coupling the metric tensor to an SP(4) gauge theory spontaneously broken to $SL(2,C)$. The symmetry breaking is achieved by using a…

High Energy Physics - Theory · Physics 2016-09-06 Ali H. Chamseddine

A general scalar-tensor theory of gravity carries a conserved current for a trace free minimally coupled scalar field, under the condition that the potential $V(\phi)$ of the nonminimally coupled scalar field is proportional to the square…

High Energy Physics - Theory · Physics 2009-11-11 Abhik Kumar Sanyal

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central…

High Energy Physics - Theory · Physics 2009-10-31 M. Calixto , V. Aldaya

We consider a massive Kalb-Ramond field with a general non-minimal coupling to gravity. We first study the theory in flat space-time, taking into account the non-linearities. We show that the coupling with the Ricci scalar gives rise to the…

High Energy Physics - Theory · Physics 2026-02-26 Anamaria Hell , Ippei Obata

We construct a tensor network representation of the partition function for the massless Schwinger model on a two dimensional lattice using staggered fermions. The tensor network representation allows us to include a topological term. Using…

High Energy Physics - Lattice · Physics 2020-06-24 Nouman Butt , Simon Catterall , Yannick Meurice , Judah Unmuth-Yockey

We revisit the possibility of producing observable tensor modes through a continuous particle production process during inflation. Particularly, we focus on the multi-field realization of inflation where a spectator pseudo-scalar $\sigma$…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-03 Ogan Özsoy

A real anti-symmetric tensor field was introduced to realize a holographic magnetic ordered phase in our previous works. However, a more careful analysis shows there is a vector ghost in the model. In this paper we present a modified…

High Energy Physics - Theory · Physics 2015-08-13 Rong-Gen Cai , Run-Qiu Yang

In this work we investigate possible actions for antisymmetric two-tensor field models subject to constraints that force the field to acquire a nonzero vacuum expectation value, thereby spontaneously breaking Lorentz invariance. In order to…

High Energy Physics - Theory · Physics 2024-07-26 Robertus Potting

Some recently discovered nonperturbative strong-field effects in tensor-scalar theories of gravitation are interpreted as a scalar analog of ferromagnetism: "spontaneous scalarization". This phenomenon leads to very significant deviations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Thibault Damour , Gilles Esposito-Farese