In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. We consider statistical fields, and define Ward functionals in terms of their Lie derivatives. Based on this approach, we explain some equations of conformal field theory and outline their relation to SLE theory.

We point out the existence of a class of non-Gaussian yet free “quantum field theories” in 0+0 dimensions, based on a cubic action classified by simple Lie groups. A “three-pronged” version of the Wick theorem applies. (LPTHE-P03-01, hep-th/0302043) With the exception of a few integrable models in low dimension, much of what we know of quantum field theory relies on perturbation around a free t...

We study the following problem: can a classical sln Toda field theory be represented by means of free bosonic oscillators through a Drinfeld–Sokolov construction? We answer affirmatively in the case of a cylindrical space–time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one–to–one correspondence between such solutions and the space of free left and righ...

abstract the spontaneous emission spectrum from a driven three-level atom placed inside a double-band photonic crystal has been investigated. we use the model which assumes the upper levels of the atomic transition are coupled via a classical driving field. the transition from one of the upper levels to lower level couples to the modes of the modified reservoir, and the transition from the othe...

The main goal of this study was to evaluate the possible effect of whole-body magnetic field (MF) exposure on the variations of corticosterone, Free-T3, Free-T4 and malonyl dialdehyde in plasma in 48 adult white New Zealand male rabbits. Animals were divided into six groups namely, C1 (normal diet, not exposed), C2 (normal diet, sham exposed), T1 (normal diet, exposed to electromagnetic field),...