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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 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We consider gravity from the quantum field theory point of view and introduce a natural way of coupling gravity to matter by following the gauge principle for particle interactions. The energy-momentum tensor for the matter fields is shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yuan K. Ha

In the functional integral approach to quantum gravity, the quantum configurations are usually treated to order hbar through a stationary phase approximation around the saddle point of the action where spacetime is flat. We show that from…

General Physics · Physics 2008-11-26 Giovanni Modanese

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the…

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev , S. L. Lyakhovich

The microscopic theories of quantum gravity related to integrable lattice models can be constructed as special deformations of pure gravity. Each such deformation is defined by a second order differential operator acting on the coupling…

High Energy Physics - Theory · Physics 2007-05-23 I. K. Kostov

Multidimensionality of our Universe is one of the most intriguing assumption in modern physics. It follows naturally from theories unifying different fundamental interactions with gravity, e.g. M/string theory. The idea has received a great…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Tamerlan Saidov

In this paper we describe an approach to construct semiclassical partition functions in gravity which are complete in the sense that they contain a complete description of the differentiable structures of the underlying 4-manifold. In…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Christopher L. Duston

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

Using a PASCAL program to follow the evolution of two gravitating particles in 2+1 dimensions we find solutions in which the particles wind around one another indefinitely. As their center of mass moves `tachyonic' they form a Gott-pair. To…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Welling

The definitions of gravitational work as well as work done by the total external force on a massive probe particle moving in generic spacetime backgrounds are proposed. These definitions are given in the form of scalar integrals and thus,…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Shaofan Liu , Liu Zhao

We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections.…

High Energy Physics - Theory · Physics 2020-10-14 G. P. de Brito , M. G. Campos , L. P. R. Ospedal , K. P. B. Veiga

The semiclassical interaction of the gravitational with a quantum scalar field is considered, in view of the renormalizability of the associated energy-momentum tensor in a n-dimensional curved spacetime resulting from a quadratic…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kostas Kleidis

The gauge fixed polygon model of 2+1 gravity with zero cosmological constant and arbitrary number of spinless point particles is reconstructed from the first order formalism of the theory in terms of the triad and the spin connection. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Z. Kadar

In canonical quantum gravity, the formal functional integral includes an integration over the local conformal factor, and we propose to perform the functional integral over this factor before doing any of the other functional integrals. By…

General Relativity and Quantum Cosmology · Physics 2010-10-05 Gerard 't Hooft

By quantising the gravitational dynamics, space and time are usually forced to play fundamentally different roles. This raises the question whether physically relevent configurations could also exist which would not admit…

General Relativity and Quantum Cosmology · Physics 2015-07-16 Pierre A. Mandrin

Here we present an overview on the various works, in which many collaborators have contributed, regarding the interesting dipole of noncommutativity and physics. In brief, we present the features that noncommutativity triggers both in the…

High Energy Physics - Theory · Physics 2023-05-22 George Manolakos , Pantelis Manousselis , Danai Roumelioti , Stelios Stefas , George Zoupanos

We consider the theory of pure gravity in 2+1 dimensions, with negative cosmological constant. The theory contains simple matter in the form of point particles; the later are classically described as lines of conical singularities. We…

High Energy Physics - Theory · Physics 2009-11-07 Kirill Krasnov

A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism. All of these models suggest that there is an…

High Energy Physics - Theory · Physics 2007-05-23 M. Buric , J. Madore

Since the early days of search for a quantum theory of gravity the attempts have been mostly concentrated on the quantization of an otherwise classical system. The two most contentious candidate theories of gravity, sting theory and quantum…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Houri Ziaeepour

Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local…

Strongly Correlated Electrons · Physics 2017-10-04 Xiao Chen , Abhishek Roy , Jeffrey C. Y. Teo , Shinsei Ryu