We use the method due to Batalin, Fradkin and Tyutin (BFT) for the quantization of chiral boson theories. We consider the Floreanini-Jackiw (FJ) formulation as well as others with linear constraints. PACS: 03.70+k, 11.10.Ef, 11.30.Rd (∗) Electronic mail: ift01001@ufrj (†) Electronic mail: ift03001@ufrj and [email protected] 1

Congjun Wu,1 Kai Sun,2 Eduardo Fradkin,2 and Shou-Cheng Zhang3 1Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA 2Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA 3Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA Received 12 October ...

4 We prove that the weak k-linkage problem is polynomial for every fixed k for totally Φ5 decomposable digraphs, under appropriate hypothesis on Φ. We then apply this and recent results 6 by Fradkin and Seymour (on the weak k-linkage problem for digraphs of bounded independence 7 number or bounded cut-width) to get polynomial algorithms for some class of digraphs like quasi8 transitive digraphs...

This talk at Fradkin conference is devoted to brief description of latest results in two topics I worked on during last years. The multiresolution analysis and fast wavelet transform became a standard procedure for pattern recognition and I describe how it has been used for analysis of high energy nucleus-nucleus interactions 1. Latest QCD results on multiplicities in quark and gluon jets are d...