Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Weyl-invariant higher curvature gravity theories in n dimensions
Download
index.pdf
Date
2012-03-12
Author
Tanhayi, M. Reza
Dengiz, Suat
Tekin, Bayram
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
162
views
94
downloads
Cite This
We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter and flat vacua. Weyl symmetry is spontaneously broken in (anti-)de Sitter and radiatively broken at the loop level in flat space. Save the three-dimensional theory (which is the Weyl-invariant extension of the new massive gravity), the graviton remains massless and the unitarity requires that the only viable Weyl-invariant quadratic theory is the Weyl-invariant extension of the Einstein-Gauss-Bonnet theory. The Weyl gauge field, on the other hand, becomes massive. The symmetry breaking scale fixes all the dimensionful parameters in the theory.
URI
https://hdl.handle.net/11511/34964
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.85.064016
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces
Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01)
We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
Kundt solutions of minimal massive 3D gravity
Deger, Nihat Sadik; Sarıoğlu, Bahtiyar Özgür (AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, 2015-11-04)
We construct Kundt solutions of minimal massive gravity theory and show that, similar to topologically massive gravity (TMG), most of them are constant scalar invariant (CSI) spacetimes that correspond to deformations of round and warped (A) dS. We also find an explicit non-CSI Kundt solution at the merger point. Finally, we give their algebraic classification with respect to the traceless Ricci tensor (Segre classification) and show that their Segre types match with the types of their counterparts in TMG.
Weyl-invariant higher curvature gravity theories
Dengiz, Suat; Tekin, Bayram; Department of Physics (2014)
In this thesis, Weyl-invariant extensions of three-dimensional New Massive Gravity, generic n-dimensional Higher Curvature Gravity theories and three-dimensional Born-Infeld gravity theory are analyzed in details. As required by Weyl-invariance, the actions of these gauge theories do not contain any dimensionful parameter, hence the local symmetry is spontaneously broken in (Anti) de Sitter vacua in analogy with the Standard Model Higgs mechanism. In flat vacuum, symmetry breaking mechanism is more complica...
Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
Shikakhwa, M. S.; Chair, N. (2016-08-19)
The Schrodinger Hamiltonian of a spin-less particle as well as the Pauli Hamiltonian with spin-orbit coupling included of a spin one-half particle in electromagnetic fields that are confined to a curved surface embedded in a three-dimensional space spanned by a general Orthogonal Curvilinear Coordinate are constructed. A new approach, based on the physical argument that upon squeezing the particle to the surface by a potential, then it is the physical gauge-covariant kinematical momentum operator (velocity ...
Critical points of D-dimensional extended gravities
Deser, S.; Liu, Haishan; Lue, H.; Pope, C. N.; Sisman, Tahsin Cagri; Tekin, Bayram (2011-03-17)
We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D < 4 there are in general two distinct (anti)-de Sitter vacua. We show that, for an appropriate choice of the parameters, there exists a critical point for one of the vacua, with only massless tensor, but neither massive tensor nor scalar, gravitons. At criticality, the linearized excitations have formally vanishing energy (as do black hole solutions). A further restriction of the paramet...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. R. Tanhayi, S. Dengiz, and B. Tekin, “Weyl-invariant higher curvature gravity theories in n dimensions,”
PHYSICAL REVIEW D
, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34964.