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
Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras
Download
index.pdf
Date
2004-08-10
Author
BALACHANDRAN, AP
Kürkcüoğlu, Seçkin
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
180
views
39
downloads
Cite This
Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S-2 and are associated with the group SU(2) in this manner. They are useful for regularizing quantum field theories and modeling space-times by noncommutative manifolds. We show that fuzzy spaces are Hopf algebras and in fact have more structure than the latter. They are thus candidates for quantum symmetries. Using their generalized Hopf algebraic structures, we can also model processes where one fuzzy space splits into several fuzzy spaces. For example we can discuss the quantum transition where the fuzzy sphere for angular momentum J splits into fuzzy spheres for angular momenta K and L.
Subject Keywords
Nuclear and High Energy Physics
,
Astronomy and Astrophysics
,
Atomic and Molecular Physics, and Optics
URI
https://hdl.handle.net/11511/35054
Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
DOI
https://doi.org/10.1142/s0217751x04019810
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics
Ikhdair, SM; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2005-11-10)
We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and IS bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the Be meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of t...
Interacting quantum topologies and the quantum Hall effect
Balachandran, A. P.; Gupta, Kumar S.; Kürkcüoğlu, Seçkin (World Scientific Pub Co Pte Lt, 2008-04-10)
The algebra of observables of planar electrons subject to a constant background magnetic field B is given by A(theta)(R-2) circle times A(theta)(R-2) (theta = -4/eB), the product of two mutually commuting Moyal algebras. It describes the free Hamiltonian and the guiding center coordinates. We argue that A(theta)(R-2) itself furnishes a representation space for the actions of these two Moyal algebras, and suggest physical arguments for this choice of the representation space. We give the proper setup to coup...
PROPERTIES OF BC-MESON IN QCD SUM-RULES
Alıyev, Tahmasıb (Springer Science and Business Media LLC, 1992-06-01)
We have studied the masses of the scalar, pseudoscalar and vector states of B(c)-meson and their decay constants in the framework of the QCD sum rules. PACS 12.90 - Miscellaneous theoretical ideas and models.
SEMICLASSICAL BLACK HOLES WITH LARGE N RESCALING AND INFORMATION LOSS PROBLEM
Yeom, Dong-Han; Zoe, Heeseung (World Scientific Pub Co Pte Lt, 2011-07-30)
We consider semiclassical black holes and related rescalings with N massless fields. For a given semiclassical solution of an N = 1 universe, we can find other solution of a large N universe by the rescaling. After the rescaling, any curvature quantity takes a sufficiently small value without changing its causal structure. Via the rescaling, we argue that black hole complementarity for semiclassical black holes cannot provide a fundamental resolution of the information loss problem, and the violation of bla...
SENSITIVITY OF THE STOKES PARAMETERS IN THE DECAY B-]S-GAMMA-G TO THE MODEL OF FCNC
Alıyev, Tahmasıb; TURAN, G (Springer Science and Business Media LLC, 1995-01-01)
We calculated the Stokes parameters which characterize the polarization properties of the photons produced in the decay b-->s gamma g in the framework of the Standard Model (SM) and Two Higgs Doublet Model (2HDM). It is shown that the Stokes parameter xi 3, which defines the linear photon polarization with a polarization vector in the decay plane, is very sensitive to the parameters of the above-mentioned models. The predicted values of xi(3) are large enough (in some cases it achieves the maximum possible ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
A. BALACHANDRAN and S. Kürkcüoğlu, “Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras,”
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
, pp. 3395–3407, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35054.