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The canonical structure of the Einstein-Hilbert Lagrange density $L=\sqrt{-g}R$ is examined in two spacetime dimensions, using the metric density $h^{\mu \nu}\equiv \sqrt{-g}g^{\mu \nu}$ and symmetric affine connection $\Gamma_{\sigma…

High Energy Physics - Theory · Physics 2009-11-11 N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon

We make a perturbative analysis of the number of degrees of freedom in a large class of metric theories respecting spatial symmetries, of which the Lagrangian includes kinetic terms of both the spatial metric and the lapse function. We show…

General Relativity and Quantum Cosmology · Physics 2019-05-13 Xian Gao , Chao Kang , Zhi-Bang Yao

I discuss the issue of degrees of freedom in modified teleparallel gravity. These theories do have an extra structure on top of the usual (pseudo)Riemannian manifold, that of a flat parallel transport. This structure is absolutely abstract…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Alexey Golovnev

We study the nature of constraints and the Hamiltonian structure in a scalar-tensor theory of gravity recently proposed by Gleyzes, Langlois, Piazza and Vernizzi (GLPV). For the simple case with A_5 = 0, namely when the canonical momenta…

High Energy Physics - Theory · Physics 2015-06-22 Chunshan Lin , Shinji Mukohyama , Ryo Namba , Rio Saitou

A Lagrangian formulation is given extending to N = 1 supersymmetry the motion of a charged point particle with spin in a non-abelian external field. The classical formulation is constructed for any external static non-abelian SU(N) gauge…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts , Gabriel Y. H. Avossevou , Anselme F. Dossa

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with…

High Energy Physics - Theory · Physics 2009-11-19 Bernard de Wit , Hermann Nicolai , Henning Samtleben

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the use of explicit constraints in configuration space. For…

High Energy Physics - Theory · Physics 2017-01-04 C. Wetterich

We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Young-Jai Park

We consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting for studying entanglement entropy of regions of…

High Energy Physics - Theory · Physics 2016-11-29 William Donnelly , Laurent Freidel

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

This thesis covers several developments performed in metric-affine gravity. This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Alejandro Jiménez-Cano

The theory of canonical linearized gravity is quantized using the Projection Operator formalism, in which no gauge or coordinate choices are made. The ADM Hamiltonian is used and the canonical variables and constraints are expanded around a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Wayne R. Bomstad , John R. Klauder

We consider extra dimensional gauge theories on an interval. We first review the derivation of the consistent boundary conditions (BC's) from the action principle. These BC's include choices that give rise to breaking of the gauge…

High Energy Physics - Phenomenology · Physics 2009-07-09 C. Csaki , C. Grojean , H. Murayama , L. Pilo , J. Terning

We deduce the canonical brackets for a two (1 + 1)-dimensional (2D) free Abelian 1-form gauge theory by exploiting the beauty and strength of the continuous symmetries of a Becchi-Rouet-Stora-Tyutin (BRST) invariant Lagrangian density that…

High Energy Physics - Theory · Physics 2016-05-18 R. Kumar , S. Gupta , R. P. Malik

We consider a classical field theory whose equations of motion follow from the least action principle, but the class of admissible trajectories is restricted by differential equations. The key element of the proposed construction is the…

Mathematical Physics · Physics 2025-08-14 Simon Lyakhovich , Nikita Sinelnikov

The most general theory of gravity in d-dimensions which leads to second order field equations for the metric has [(d-1)/2] free parameters. It is shown that requiring the theory to have the maximum possible number of degrees of freedom,…

High Energy Physics - Theory · Physics 2009-10-31 Ricardo Troncoso , Jorge Zanelli

Motivated by high interest in the close relation between string theory and black hole solutions, in this paper, we take into account the Einstein-Gauss-Bonnet Lagrangian in the context of massive gravity. We examine the possibility of black…

High Energy Physics - Theory · Physics 2016-02-23 S. H. Hendi , S. Panahiyan , B. Eslam Panah

We analyze the Hamiltonian structure of an extended chiral bosons theory in which the self-dual constraint is introduced via a control $\alpha$-parameter. The system has two second-class constraints in the non-critical regime and an…

High Energy Physics - Theory · Physics 2024-01-15 Gabriella V. Ambrosio , Cleber N. Costa , Paulo R. F. Alves , Jorge Ananias Neto , Ronaldo Thibes

I consider theories of gravity built not just from the metric and affine connection, but also other (possibly higher rank) symmetric tensor(s). The Lagrangian densities are scalars built from them, and the volume forms are related to…

High Energy Physics - Theory · Physics 2020-04-06 Chethan Krishnan
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