Krzysztof Gawedzki

Coset Construction from Functional Integrals

A detailed study of the gauged Wess-Zumino-Witten models is presented. These models are shown to be conformal field theories realizing the Goddard-Kent-Olive coset construction. Partition functions are computed for an arbitrary group G with a subgroup H gauged. Correlation functions are shown to be computable in terms of WZW ones. Explicit cases of the minimal models and parafemmionic theories are worked out.

Anomalous Scaling of the Passive Scalar

We establish anomalous inertial range scaling of structure functions for a model of advection of a passive scalar by a random velocity field. The velocity statistics is taken gaussian with decorrelation in time and velocity differences scaling as

Gross-Neveu model through convergent perturbation expansions

|x|^{\kappa/2}

Slow Modes in Passive Advection

in space, with

Phase transition in the passive scalar advection

0\leq\kappa < 2

Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory

. The scalar is driven by a gaussian forcing acting on spatial scale

Noncompact WZW conformal field theories

L

Anomalous scaling in the N-point functions of a passive scalar.

and decorrelated in time. The structure functions for the scalar are well defined as the diffusivity is taken to zero and acquire anomalous scaling behavior for large pumping scales

Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a nonequilibrium steady state.

L

KAM Theorem and Quantum Field Theory

. The anomalous exponent is calculated explicitly for the