Higgs mechanism as a collective effect due to extra dimension

A systematic analysis of the unitary electroweak model described by the higher derivative Lagrangian depending on extra dimension [1] is presented.Comment: 11 pages, no figure

One-loop counterterms in the Yang-Mills theory with gauge invariant ghost field Lagrangian

One-loop calculations of renormalization constants in the model with gauge invariant ghost field Lagrangian are performed. It is shown that the model is asymptotically free and the renormalization constants satisfy the same equation as in the ordinary Yang-Mills theory.Comment: 11 pages, 6 figure

Determinant representation for dynamical correlation functions of the Quantum nonlinear Schr\"odinger equation

The foundation for the theory of correlation functions of exactly solvable models is determinant representation. Determinant representation permit to describe correlation functions by classical completely integrable differential equations [Barough, McCoy, Wu]. In this paper we show that determinant represents works not only for free fermionic models. We obtained determinant representation for the correlation function $$ of the quantum nonlinear Schr\"odinger equation, out of free fermionic point. In the forthcoming publications we shall derive completely integrable equation and asymptotic for the quantum correlation function of this model of interacting fermions.Comment: LaTEX file, 35 pages, to appear in C.M.P. (1997

The New Identity for the Scattering Matrx of Exactly Solvable Models

We discovered a simple quadratic equation, which relates scattering phases of particles on Fermi surface. We consider one dimensional Bose gas and XXZ Heisenberg spin chain.Comment: 7 pages, Latex, no figure