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We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Gerald Dunne

We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the hydrogen atom in any number of…

High Energy Physics - Theory · Physics 2016-08-25 I. Bars , C. Deliduman , O. Andreev

The structure of the asymptotic symmetry in the Poincar\'e gauge theory of gravity in 2d is clarified by using the Hamiltonian formalism. The improved form of the generator of the asymptotic symmetry is found for very general asymptotic…

High Energy Physics - Theory · Physics 2009-10-30 M. Blagojevic , M. Vasilic , T. Vukasinac

In this paper we extend some previous results for a new proposal for gravity and place them into overall context. The basic fields of this proposal provide an off-shell realization of symmetry with respect to SO(3,C) gauge transformations…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Eyo Eyo Ita

We extent the standard approach of dimensional regularization of Feynman diagrams: we replace the transition to lower dimensions by a 'natural' cut-off regulator. Introducing an external regulator of mass Lambda^(2e), we regain in the limit…

Nuclear Theory · Physics 2007-05-23 M. Dillig

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter

We investigate the general properties of the dimensional reduction of the Dirac theory, formulated in a Minkowski spacetime with an arbitrary number of spatial dimensions. This is done by applying Hadamard's method of descent, which…

We propose a new form of dimensional reduction that constrains dilatation instead of a component of momentum. It corresponds to replacing toroidal compactification in a Cartesian coordinate with that in the logarithm of the radius. Massive…

High Energy Physics - Theory · Physics 2009-11-07 Tirthabir Biswas , Warren Siegel

We conjecture that the extra dimensions are physical non-compact at high energy scale or high temperature; after the symmetry breaking or cosmological phase transition, the bulk cosmological constant may become negative, and then, the extra…

High Energy Physics - Theory · Physics 2014-11-18 Tianjun Li

We propose an alternative dimensional reduction prescription which in respect with Green functions corresponds to drop the extra spatial coordinate. From this, we construct the dimensionally reduced Lagrangians both for scalars and…

High Energy Physics - Theory · Physics 2015-06-26 J. D. Edelstein , J. J. Giambiagi , C. Núñez , F. A. Schaposnik

We consider compactifications induced by the gravitino field of eleven dimensional supergravity. Such compactifications are not trivial in the sense that the gravitino profiles are not related to pure bosonic ones by means of a…

High Energy Physics - Theory · Physics 2015-06-03 Fotis Farakos , Alex Kehagias , Emmanuel N. Saridakis

In this second part of the paper, dedicated to theories with extra dimensions, a new physical notion about the "tensor length scale" is introduced, based on the gravitational theories with covariant and contravariant metric tensor…

High Energy Physics - Theory · Physics 2008-10-09 Bogdan G. Dimitrov

When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks,…

High Energy Physics - Theory · Physics 2009-11-10 G. Guralnik , A. Iorio , R. Jackiw , S. -Y. Pi

We present a concise description of the basic features of gravity-matter models based on the formalism of non-canonical spacetime volume-forms in its two versions: the method of non-Riemannian volume-forms (metric-independent covariant…

General Relativity and Quantum Cosmology · Physics 2019-10-15 David Benisty , Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

There is an explicit resolution of the Poisson reduction of four planar point vortices, in the case that three of the vortex strengths are equal and the total vorticity is zero. The resolution, a Hamiltonian system on a unified symplectic…

Mathematical Physics · Physics 2023-11-02 George W. Patrick

We hypothesize that the vacuum is spontaneously shifted from the self-dual point in the moduli space, at which all dimensions are compact, and that the true vacuum results from the decompactification of the four space-time dimensions and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Abe , C. Hattori , M. Ito , M. Matsunaga , T. Matsuoka

We consider a toy cosmological model with a gas of wrapped Dp-branes in 10-dimensional dilaton gravity compactified on a p-dimensional Ricci flat internal manifold. A consistent generalization of the low energy effective field equations in…

High Energy Physics - Theory · Physics 2009-11-10 S. Arapoglu , A. Kaya

By dimensional reduction of the Lovelock Lagrangian, effective four-dimensional field equations and expressions for the cosmological and gravitational constants are obtained. A cosmological model is discussed with the n-torus as internal…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Theo Verwimp

We consider a Weyl-invariant formulation of gravity with a cosmological constant in d-dimensional spacetime and show that near two dimensions the classical action reduces to the timelike Liouville action. We show that the renormalized…

High Energy Physics - Theory · Physics 2016-08-17 Teresa Bautista , Atish Dabholkar

We consider a simple model of d families of scalar field interacting with geometry in two dimensions. The geometry is locally flat and has only global degrees of freedom. When d<0 the universe is locally two dimensional but for d>0 it…

High Energy Physics - Theory · Physics 2009-10-30 J. D. Correia , J. F. Wheater