Quantization and gauge fixing of constrained systems

Download
1995
Muslih, Sami İsmail

Suggestions

Colliding Abelian gauge plane waves
Karasu (Kalkanlı), E Ayşe; Eriş, Ahmet; Department of Physics (1990)
Equivariant reduction of matrix gauge theories and emergent chaotic dynamics
Toğa, Göksu Can; Kürkcüoğlu, Seçkin; Department of Physics (2018)
In this thesis we focus on a massive deformation of a Yang-Mills matrix gauge theory. We first layout the essential features of this model including fuzzy 4- sphere extremum of the mass deformed potential as well as its relation with string theoretic matrix models such as the BFSS model. Starting with such a model with U(4N) gauge symmetry, we determine the SU(4) equivariant fluctuations modes. We trace over the fuzzy 4-spheres at the matrix levels N = 1 6(n + 1)(n + 2)(n + 3), (n : 1; 2 : : : 5) and obtain...
Effective gauge theories from fuzzy extra dimensions
Ünal, Gönül; Kürkcüoğlu, Seçkin; Department of Physics (2016)
In this thesis, we investigate the formulation and various aspects of gauge theories with fuzzy extra dimensions. In SU (N ) gauge theories coupled to a suitable number of adjoint scalar fields, we determine a family of fuzzy vacuum configurations dynamically emerging after the spontaneously symmetry breaking of the gauge symmetry. The emergent models are conjectured to be effective U (n) (n < N ) gauge theories with fuzzy extra dimensions. Making use of the equivariant parametrization technique and focusin...
Prolongation structures, backlund transformations and painleve analysis of nonlinear evolution equations
Yurduşen, İsmet; Karasu, Emine Ayşe; Department of Physics (2004)
The Wahlquist-Estabrook prolongation technique and the Painleve analysis, used for testing the integrability of nonlinear evolution equations, are considered and applied both to the Drinfel'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Backlund transformations for the Drinfel'd-Sokolov system of equations are also found.
Quantum mechanics on curved hypersurfaces
Olpak, Mehmet Ali; Tekin, Bayram; Department of Physics (2010)
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac’s quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the fir...
Citation Formats
S. İ. Muslih, “Quantization and gauge fixing of constrained systems,” Ph.D. - Doctoral Program, Middle East Technical University, 1995.