On \omega-categorical, generically stable groups

We prove that each \omega-categorical, generically stable group is solvable-by-finite.Comment: 11 page

Energy spectrum of the low-lying gluon excitations in the Coulomb gauge

We compute the energy spectrum of low-lying gluonic excitations in the presence of static quark-antiquark sources using Coulomb gauge and the quasi-particle representation. Within the valence sector of the Fock space we reproduce both, the overall normalization and the ordering of the spin-parity multiplets. We discus how the interactions induced by the non-abelian Coulomb kernel are central in to fine structure of the spectrum.Comment: 8 pages, 8 figure

Superrosy dependent groups having finitely satisfiable generics

We study a model theoretic context (finite thorn rank, NIP, with finitely satisfiable generics) which is a common generalization of groups of finite Morley rank and definably compact groups in o-minimal structures. We show that assuming thorn rank 1, the group is abelian-by-finite, and assuming thorn rank 2 the group is solvable by finite. Also a field is algebraically closed