Conformal symmetry in field theory

Huyal, Ulaş
In this thesis, conformal transformations in d and two dimensions and the results of conformal symmetry in classical and quantum field theories are reviewed. After investigating the conformal group and its algebra, various aspects of conformal invariance in field theories, like conserved charges, correlation functions and the Ward identities are discussed. The central charge and the Virasoro algebra are briefly touched upon.


Conformal black hole solutions of axidilaton gravity in D dimensions
Cebeci, H; Dereli, T (2002-02-15)
Static, spherically symmetric solutions of axidilaton gravity in D dimensions are given in the Brans-Dicke frame for arbitrary values of the Brans-Dicke constant omega and an axion-dilaton coupling parameter k. The mass and the dilaton and axion charges are determined and a BPS bound is derived. There exists a one-parameter family of black hole solutions in the scale-invariant limit.
Gravitational waves and gravitational memory
Korkmaz, Ali; Tekin, Bayram; Department of Physics (2018)
We study the gravitational waves produced by compact binary systems in the linear regime of massless general relativity and calculate the gravitational memory produced by these waves on a detector.
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.
Phase transition in compact QED3 and the Josephson junction
Onemli, VK; Tas, M; Tekin, Bayram (2001-08-01)
We study the finite temperature phase transition in 2+1 dimensional compact QED and its dual theory: Josephson junction. Duality of these theories at zero temperature was established long time ago in [1]. Phase transition in compact QED is well studied thus we employ the 'duality' to study the superconductivity phase transition in a Josephson junction. For a thick junction we obtain a critical temperature in terms of the geometrical properties of the junction.
Topologically massive gravity : anyon scattering, weyl-gauging and causality
Kılıçarslan, Ercan; Tekin, Bayram; Department of Physics (2017)
In this thesis, we studied the Topologically Massive Gravity (TMG) in two perspectives. Firstly, by using real scalar and abelian gauge fields, we built the Weyl-invariant extension of TMG which unifies cosmological TMG and Topologically Massive Electrodynamics (TME) with a Proca mass term. Here, we have demonstrated that the presence of (Anti)-de Sitter spaces as the background solution, spontaneously breaks the local Weyl symmetry, whereas the radiative corrections at two-loop level breaks the symmetry in...
Citation Formats
U. Huyal, “Conformal symmetry in field theory,” M.S. - Master of Science, Middle East Technical University, 2011.