130 citations · 441 across the 30 of their papers we have counts for
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Lorentz-violating extension of Wigner function formalism and chiral kinetic theory
Ömer F. Dayi
The quantum kinetic equation for the gauge-invariant Wigner function, constructed from spinor fields that obey the Dirac equation modified by CPT and Lorentz symmetry-violating ter…
Gauge theories for fluids in 2+1 dimensions through master actions
Omer F. Dayi
Two actions which are functionals of different variables but describing the same dynamical system can be shown to possess the same origin by constructing a master action which gene…
Nonlinear Chiral Plasma Transport in Rotating Coordinates
Omer F. Dayi, Eda Kilincarslan
The nonlinear transport features of inhomogeneous chiral plasma in the presence of electromagnetic fields, in rotating coordinates are studied within the relaxation time approach.…
Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
O. F. Dayi, E. Kilincarslan, E. Yunt
The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of…
A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
O. F. Dayi, E. Kilincarslan
Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packe…
Spin Hall Effect in Noncommutative Coordinates
O. F. Dayi, M. Elbistan
A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect…
Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3
O. F. Dayi
Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ord…
Hamiltonian formulation of Noncommutative D3--Brane
O. F. Dayi, B. Yapiskan
Lagrangians of the Abelian Gauge Theory and its dual are related in terms of a shifted action. We show that in d=4 constrained Hamiltonian formulation of the shifted action yields…
Wigner Functions for the Landau Problem in Noncommutative Spaces
O. F. Dayi, L. T. Kelleyane
An electron moving on plane in a uniform magnetic field orthogonal to plane is known as the Landau problem. Wigner functions for the Landau problem when the plane is noncommutative…
Hall Effect in Noncommutative Coordinates
O. F. Dayi, A. Jellal
We consider electrons in uniform external magnetic and electric fields which move on a plane whose coordinates are noncommuting. Spectrum and eigenfunctions of the related Hamilton…
Hamiltonian Formulation of Jackiw--Pi 3-Dimensional Gauge Theories
O. F. Dayi
A 3-dimensional non-abelian gauge theory was proposed by Jackiw and Pi to create mass for the gauge fields. However, the quadratic action obtained by switching off the non-abelian…
Consistent Interactions in terms of the Generalized Fields Method
O. F. Dayi
The interactions which preserve the structure of the gauge interactions of the free theory are introduced in terms of the generalized fields method of solving the Batalin-Vilkovisk…
The Batalain-Vilkovisky Method of Quantization Made Easy
Omer F. Dayi
Odd time was introduced to formulate the Batalin-Vilkovisky method of quantization of gauge theories in a systematic manner. This approach is presented emphasizing the odd time can…
Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations
O. F. Dayi, I. H. Duru
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation con…
BV and BFV Formulation of a Gauge Theory of Quadratic Lie Algebras in 2-d and a Construction of W3 Topological Gravity
O. F. Dayi
The recently proposed generalized field method for solving the master equation of Batalin and Vilkovisky is applied to a gauge theory of quadratic Lie algebras in 2-dimensions. The…
BFV--BRST Analysis of the Classical and Quantum q-deformations of the sl(2) Algebra
O. F. Dayi
BFV--BRST charge for q-deformed algebras is not unique. Different constructions of it in the classical as well as in the quantum phase space for the -deformed algebra sl_q(2) ar…
A General Solution of the Master Equation for a Class of First Order Systems
O. F. Dayi
Inspired by the formulation of the Batalin-Vilkovisky method of quantization in terms of ``odd time'', we show that for a class of gauge theories which are first order in the deriv…