Some Comments on Lie-Poisson Structure of Conformal Non-Abelian Thirring Models

The interconnection between self-duality, conformal invariance and Lie-Poisson structure of the two dimensional non-abelian Thirring model is investigated in the framework of the hamiltonian method.Comment: QMW-93-16, 10 p

Critical Casimir Interactions and Percolation: the quantitative description of critical fluctuations

Casimir forces in a critical media are produced by spatial suppression of order parameter fluctuations. In this paper we address the question how fluctuations of a critical media relates the magnitude of critical Casimir interactions. Namely, for the Ising model we express the potential of critical Casimir interactions in terms of Fortuin-Kasteleyn site-bond correlated percolation clusters. These clusters are quantitative representation of fluctuations in the media. New Monte Carlo method for the computation of the Casimir force potential which is based on this relation is proposed. We verify this method by computation of Casimir interactions between two disks for 2D Ising model. The new method is also applied to the investigation of non-additivity of the critical Casimir potential. The non-additive contribution to three-particles interaction is computed as a function of the temperature.Comment: 13 pages, 4 figure

Interacting Wess-Zumino-Novikov-Witten Models

We study the system of two WZNW models coupled to each other via the current-current interaction. The system is proven to possess the strong/weak coupling duality symmetry. The strong coupling phase of this theory is discussed in detail. It is shown that in this phase the interacting WZNW models approach non-trivial conformal points along the renormalization group flow. The relation between the principal chiral model and interacting WZNW models is investigated.Comment: 26 pages, LaTex fil

Acceleration of particles as universal property of rotating black holes

We argue that the possibility of having infinite energy in the centre of mass frame of colliding particles is a generic property of rotating black holes. We suggest a general model-independent derivation valid for "dirty" black holes. The earlier observations for the Kerr or Kerr-Newman metrics are confirmed and generalized.Comment: 9 pages. Discussion expande