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It is shown that the Dirac-nambu-Goto brane can be described as a point particle in an infinite dimensional brane space with a particular metric. This suggests a generalization to brane spaces with arbitrary metric, including the "flat"…

High Energy Physics - Theory · Physics 2016-09-27 Matej Pavšič

We consider branes as "points" in an infinite dimensional brane space ${\cal M}$ with a prescribed metric. Branes move along the geodesics of ${\cal M}$. For a particular choice of metric the equations of motion are equivalent to the well…

High Energy Physics - Theory · Physics 2007-05-23 Matej Pavsic

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Keiichi Akama , Takashi Hattori

The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into $D$-dimensional Minkowski space. The map introduces new generalized coordinates of branes alternative to their world vectors $\mathbf{x}$ and…

High Energy Physics - Theory · Physics 2014-09-23 A. A. Zheltukhin

A mechanism for localization of quantum fields on a $s$-brane, representing the boundary of a s+2 dimensional bulk space, is investigated. Minkowski and AdS bulk spaces are analyzed. Besides the background geometry, the relevant parameters…

High Energy Physics - Theory · Physics 2015-06-25 Mihail Mintchev , Luigi Pilo

The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least…

High Energy Physics - Theory · Physics 2015-05-18 Roy Maartens , Kazuya Koyama

The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+d-dimensional spacetime (the "bulk"), with standard-model particles and fields trapped on the brane while gravity is free to access the bulk. At least one of the…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Roy Maartens

The quantum mechanical transition between a free particle Lagrangian and the Klein Gordon field description of a free particle (particle wave duality) is conjectured to extend to an analogous construction of relativistically invariant wave…

High Energy Physics - Theory · Physics 2007-05-23 L. M. Baker , D. B. Fairlie

In the standard brane world models, the bulk metric ansatz is usually assumed to be factorizable in brane and bulk coordinates. However, it is not self-evident that it is always possible to factorize the bulk metric. Using the gradient…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Sumanta Chakraborty , Soumitra SenGupta

Motivated by the Randall-Sundrum brane-world scenario, we discuss the classical and quantum dynamics of a (d+1)-dimensional boundary wall between a pair of (d+2)-dimensional topological Schwarzschild-AdS black holes. We assume there are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sanjeev S. Seahra , H. R. Sepangi , J. Ponce de Leon

The theory of the usual, constrained p-branes is embedded into a larger theory in which there is no constraints. In the latter theory the Fock-Schwinger proper time formalism is extended from point-particles to membranes of arbitrary…

High Energy Physics - Theory · Physics 2014-11-18 Matej Pavsic

We characterize the worldvolume theories on symmetric D-branes in a six-dimensional Cahen-Wallach pp-wave supported by a constant Neveu-Schwarz three-form flux. We find a class of flat noncommutative euclidean D3-branes analogous to branes…

High Energy Physics - Theory · Physics 2009-11-11 Sam Halliday , Richard J. Szabo

We show how to cast an interacting system of M--branes into manifestly gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M--theory has a cohomologically nontrivial and noncommutative set of gauge…

High Energy Physics - Theory · Physics 2009-11-10 J. Kalkkinen , K. S. Stelle

An alternative approach to introducing gravitational dynamics on a brane embedded in a higher dimensional spacetime is presented. The brane is treated as a boundary of a higher dimensional manifold in which the bulk action is described by a…

High Energy Physics - Theory · Physics 2007-05-23 D. L. Henty

We investigate a theory in which fundamental objects are branes described in terms of higher grade coordinates X^{\mu_1 ... \mu_n} encoding both the motion of a brane as a whole, and its volume evolution. We thus formulate a dynamics which…

High Energy Physics - Theory · Physics 2008-11-26 Matej Pavsic

We consider the Randall-Sundrum braneworld theory with a single extra dimension of infinite extent to investigate generalized $f(R)$ braneworld models in the presence of several real scalar fields. In particular, we solve the modified…

High Energy Physics - Theory · Physics 2015-06-16 D. Bazeia , R. Menezes , A. Yu. Petrov , A. J. da Silva

Embedding of the brane metric into Euclidean (2+4)-space is found. Brane geometry can be visualized as the surface of the hyper-sphere in six dimensions which 'radius' is governed by the cosmological constant. Minkowski space in this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Gogberashvili

We investigate the brane models in arbitrary dimensional critical gravity presented in [Phys. Rev. Lett. 106, 181302 (2011)]. For the model of the thin branes with codimension one, the Gibbons-Hawking surface term and the junction…

High Energy Physics - Theory · Physics 2014-12-23 Yi Zhong , Feng-Wei Chen , Qun-Ying Xie , Yu-Xiao Liu

In brane world scenarios with a bulk scalar field between two branes it is known that 4-dimensional Einstein gravity is restored at low energies on either brane. By using a gauge-invariant gravitational and scalar perturbation formalism we…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama

The loop quantization of Brans-Dicke theory (with coupling parameter $\omega\neq-3/2$) is studied. In the geometry-dynamical formalism, the canonical structure and constraint algebra of this theory are similar to those of general relativity…

General Relativity and Quantum Cosmology · Physics 2012-05-18 Xiangdong Zhang , Yongge Ma
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