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The class of covariant gravity theories which have nice ultraviolet behavior and seem to be (super)-renormalizable is proposed. The apparent breaking of Lorentz invariance occurs due to the coupling with the effective fluid which is induced…

High Energy Physics - Theory · Physics 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov

In this work, we comment on two special points in the paper by S. Ghosh [Phys. Rev. D 74, 084019 (2006)]. First of all, the Lagrangian presented by the author does not describe the Magueijo- Smolin model of Doubly Special Relativity since…

High Energy Physics - Theory · Physics 2010-10-18 B. F. Rizzuti

We generalize Einstein's Lagrangian in a non-polynomial (in R) way. The usual Lagrangian (linear in R) is the zero $\alpha'$ limit of our theory, where $\alpha'$ is a parameter that is interpreted as the inverse cosmological costant before…

High Energy Physics - Theory · Physics 2008-02-03 C. Gasparakis

A minimal Lorentz gauge gravity model with R^2-type Lagrangian is proposed. In the absence of torsion the model admits a topological phase with unfixed metric. The model possesses a minimal set of dynamical degrees of freedom for the…

General Relativity and Quantum Cosmology · Physics 2010-10-06 D. G. Pak

A first-order Lagrangian $L^\nabla $ variationally equivalent to the second-order Einstein-Hilbert Lagrangian is introduced. Such a Lagrangian depends on a symmetric linear connection, but the dependence is covariant under diffeomorphisms.…

Differential Geometry · Mathematics 2013-06-06 Marco Castrillon Lopez , Jaime Munoz Masque , Eugenia Rosado Maria

We consider topological contributions to the action integral in a gauge theory formulation of gravity. Two topological invariants are found and are shown to arise from the scalar and pseudoscalar parts of a single integral. Neither of these…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Antony Lewis , Chris Doran , Anthony Lasenby

We classify higher-order Maxwell-Einstein theories linear in the curvature tensor and quadratic in the derivatives of the electromagnetic field strength whose kinetic matrices are degenerate. This provides a generalisation of quadratic…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Aimeric Colléaux , Karim Noui

A novel method to make Lagrangians Galilean invariant is developed. The method, based on null Lagrangians and their gauge functions, is used to demonstrate the Galilean invariance of the Lagrangian for Newton's law of inertia. It is…

Mathematical Physics · Physics 2020-07-22 Z. E. Musielak , T. B. Watson

Free spinor fields, with spin 1/2, are explored in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation operators and on their base…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

The structure of a diffeomorphism invariant Lagrangians for an extended object W embedded in a bulk space M is discussed by following a close analogy with the relativistic particle in electromagnetic field as a system that is…

Mathematical Physics · Physics 2017-08-23 V. G. Gueorguiev

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the…

High Energy Physics - Theory · Physics 2009-10-22 Leonardo Castellani

We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand in hand with…

High Energy Physics - Theory · Physics 2021-05-12 Kinjal Banerjee , Rudranil Basu , Aditya Mehra , Akhila Mohan , Aditya Sharma

The field equations in modified gravity theories possess an important decoupling property with respect to certain classes of nonholonomic frames. This allows us to construct generic off--diagonal solutions depending on all spacetime…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Sergiu I. Vacaru

A possible Yang-Mills like lagrangian formulation for gravity is explored. The starting point consists on two next assumptions. First, the metric is assumed as a real map from a given gauge group. Second, a gauge invariant lagrangian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan

We present a first attempt to apply the approach of deformation quantization to linearized Einstein's equations. We use the analogy with Maxwell equations to derive the field equations of linearized gravity from a modified Maxwell…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hernando Quevedo , Julio G. Tafoya

Boundary quantum field theory is investigated in the Lagrangian framework. Models are defined perturbatively around the Neumann boundary condition. The analyticity properties of the Green functions are analyzed: Landau equations, Cutkosky…

High Energy Physics - Theory · Physics 2009-11-10 Z. Bajnok , G. Bohm , G. Takacs

There exists a large class of generally covariant metric Lagrangians that contain only local terms and describe two propagating degrees of freedom. Trivial examples can be be obtained by applying a local field redefinition to the Lagrangian…

General Relativity and Quantum Cosmology · Physics 2010-02-23 Kirill Krasnov

We review a recently developed covariant Lagrangian formulation for $p$--forms with (anti)self-dual field-strengths and present its extension to the supersymmetric case. As explicit examples we construct covariant Lagrangians for…

High Energy Physics - Theory · Physics 2015-06-26 Kurt Lechner

We propose the light-front Lagrangian and the corresponding Hamiltonian that produce a theory perturbatively equivalent to the conventional QCD in the Lorentz coordinates after the regularization is removed. The regularization used is…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Paston , V. A. Franke , E. V. Prokhvatilov

We consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the torsion and the scalar field. The field…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann , Christian Pfeifer