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Lagrange scalar densities which are concomitants of two scalar fields, a pseudo-Riemannian metric tensor, and their derivatives of arbitrary differential order are investigated in a space of four-dimensions. I construct the most general…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Gregory W. Horndeski

On a manifold equipped with a bivector field, we introduce for every Hamiltonian a Lagrangian on paths valued in the cotangent space whose stationary points projects onto Hamiltonian vector fields. We show that the remaining components of…

Differential Geometry · Mathematics 2015-05-20 Yahya Turki

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such background to an…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

A prescription for calculating low-energy one-loop higher-mass dimensional effective Lagrangians for non-Abelian field theories is constructed in the spirit of quasilocal background field method. Basis of Lorentz and gauge-invariant…

High Energy Physics - Theory · Physics 2007-05-23 Joseph Ambrose G. Pagaran

We use the four-dimensional N=2 central charge superspace to give a geometrical construction of the Abelian vector-tensor multiplet consisting, under N=1 supersymmetry, of one vector and one linear multiplet. We derive the component field…

High Energy Physics - Theory · Physics 2009-10-30 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We construct an effective Lagrangian of heavy and light mesons with $1/M_Q$ correction. The Lagrangian is constructed model independent way by using only the information of the symmetry of QCD. Reparameterisation invariance at the meson…

High Energy Physics - Phenomenology · Physics 2009-10-22 N. Kitazawa , T. Kurimoto

We extend the worldline description of vector and antisymmetric tensor fields coupled to gravity to the massive case. In particular, we derive a worldline path integral representation for the one-loop effective action of a massive…

High Energy Physics - Theory · Physics 2009-11-11 Fiorenzo Bastianelli , Paolo Benincasa , Simone Giombi

We study two general approaches how to describe spin one particles, using vector and antisymmetric tensor fields within RChT. In this paper we focus on the question of an equivalence of both ways. The appearing problems lead us to the…

High Energy Physics - Phenomenology · Physics 2007-09-24 Karol Kampf , Jiri Novotny , Jaroslav Trnka

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case.…

High Energy Physics - Theory · Physics 2009-11-10 H. Casini , R. Montemayor , Luis F. Urrutia

In this work we review an effective description of the interaction of a gauge field with a tower of massive vector fields by introducing a non-diagonal mass matrix in a gauge invariant way. Particular cases of the method with only one…

High Energy Physics - Phenomenology · Physics 2009-08-30 Alfonso R. Zerwekh

New geometric structures that relate the lagrangian and hamiltonian formalisms defined upon a singular lagrangian are presented. Several vector fields are constructed in velocity space that give new and precise answers to several topics…

Mathematical Physics · Physics 2008-11-26 Xavier Gracia , Josep M. Pons

The Lagrangian of a hypergraph is a crucial tool for studying hypergraph extremal problems. Though Lagrangians of some special structure hypergraphs have closed-form solutions, it is a challenging problem to compute the Lagrangian of a…

Optimization and Control · Mathematics 2023-02-14 Jingya Chang , Bin Xiao , Xin Zhang

We continue the study of symmetries in the Lagrangian formalism of arbitrary order with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second-order equations and arbitrary vector fields we are able to establish…

High Energy Physics - Theory · Physics 2008-02-03 Dan Radu Grigore

In this paper we give explicit first order Lagrangian formulation for mixed symmetry tensor fields \Phi_{[\mu\nu],\alpha}, T_{[\mu\nu\alpha],\beta} and R_{[\mu\nu],[\alpha\beta]}. We show that such Lagrangians could be written in a very…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

Massive dual spin zero fields are reconsidered in four spacetime dimensions. A closed-form Lagrangian is presented that describes a field coupled to the gradient of its own energy-momentum tensor.

High Energy Physics - Theory · Physics 2020-01-08 Thomas Curtright

Effective Lagrangian including technimesons is constructed for a realistic one-family Technicolor model without exact custodial symmetry. Tree level contribution to oblique correction parameters $S$ and $U$ due to spin 1 technimesons are…

High Energy Physics - Phenomenology · Physics 2017-02-01 T. Yoshikawa , H. Takata , T. Morozumi

In 4-D heterotic superstrings, the dilaton and antisymmetric tensor fields belong to a linear N=1 supersymmetric multiplet L. We study the lagrangian describing the coupling of one linear multiplet to chiral and gauge multiplets in global…

High Energy Physics - Theory · Physics 2009-10-28 J. -P. Derendinger , F. Quevedo , M. Quiros

The properties of $\rho$-mesons at finite temperature ($T$) are examined with an effective chiral lagrangian in which vector and axial-vector mesons are included as massive Yang-Mills fields of the chiral symmetry. It is shown that, at…

High Energy Physics - Phenomenology · Physics 2016-09-01 Chungsik Song

We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to…

High Energy Physics - Theory · Physics 2015-06-05 Andrea Campoleoni , Dario Francia