Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
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
Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions
Download
index.pdf
Date
2012-2-8
Author
Kürkcüoğlu, Seçkin
Metadata
Show full item record
Item Usage Stats
145
views
89
downloads
Cite This
In SU(N) Yang-Mills theories on a manifold M, which are suitably coupled to a set of scalars, fuzzy spheres may be generated as extra dimensions by spontaneous symmetry breaking. This process results in gauge theories over the product space of the manifold M and the fuzzy spheres with smaller gauge groups. Here we present the SU(2)- and SU(2) x SU(2)-equivariant parametrization of U(2) and U(4) gauge fields on S-F(2), and S-F(2), x S-F(2), respectively and outline the dimensional reduction of these theories over the fuzzy extra dimensions. The emerging dimensionally reduced theories are Higgs type models. Some vortex type solutions of these theories are briefly discussed.
URI
https://hdl.handle.net/11511/28606
Journal
Journal of Physics: Conference Series
DOI
https://doi.org/10.1088/1742-6596/343/1/012062
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Equivariant fields in an SU(N) gauge theory with new spontaneously generated fuzzy extra dimensions
Kürkcüoğlu, Seçkin (2016-05-11)
We find new spontaneously generated fuzzy extra dimensions emerging from a certain deformation of N = 4 supersymmetric Yang-Mills theory with cubic soft supersymmetry breaking and mass deformation terms. First, we determine a particular four-dimensional fuzzy vacuum that may be expressed in terms of a direct sum of product of two fuzzy spheres, and denote it in short as S-F(2Int) x S-F(2Int) . The direct sum structure of the vacuum is clearly revealed by a suitable splitting of the scalar fields in the mode...
Entangled Harmonic Oscillators and Space-Time Entanglement
Başkal, Sibel; Kim, Young S.; Noz, Marilyn E. (MDPI AG, 2016-6-28)
The mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It is shown that the Gaussian entanglement shares the same set of mathematical formulas with the harmonic oscillator in the Lorentz-covariant world. It is thus possible to transfer the concept of entanglement to the Lorentz-covariant picture of the bound state, which requires both space and time separations between two constituent p...
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...
Autoparallel orbits in Kerr Brans-Dicke spacetimes
Cebeci, H; Dereli, T; Tucker, RW (2004-01-01)
The bounded orbital motion of a massive spinless test particle in the background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines that are auto-parallels of different metric compatible spacetime connections. In one case the connection is that of Levi-Civita with zero-torsion. In the second case the connection has torsion determined by the gradient of the Brans-Dicke background scalar field. The calculations permit one in principle to discriminate between these possibilities.
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 ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Kürkcüoğlu, “Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions,”
Journal of Physics: Conference Series
, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28606.