Numerical Study of Periodic Instanton Configurations in Two-dimensional Abelian Higgs Theory

Numerical minimization of the Euclidean action of the two-dimensional Abelian Higgs model is used to construct periodic instantons, the euclidean field configurations with two turning points describing transitions between the vicinities of topologically distinct vacua. Periodic instantons are found at any energy ( up to the sphaleron energy $E_{sph}$ ) and for wide range of parameters of the theory. We obtain the dependence of the action and the energy of periodic instanton on its period; these quantities directly determine the probability of certain multiparticle scattering events.Comment: 8 pages, 6 figures available upon request, LaTeX, ITP-SB-92-7

The Significance of Non-ergodicity Property of Statistical Mechanics Systems for Understanding Resting State of a Living Cell

A better grasp of the physical foundations of life is necessary before we can understand the processes occurring inside a living cell. In his physical theory of the cell, American physiologist Gilbert Ling introduced an important notion of the resting state of the cell. He describes this state as an independent stable thermodynamic state of a living substance in which it has stored all the energy it needs to perform all kinds of biological work. This state is characterised by lower entropy of the system than in an active state. However, Ling's approach is primarily qualitative in terms of thermodynamics and it needs to be characterised more specifically. To this end, we propose a new thermodynamic approach to studying Ling's model of the living cell (Ling's cell), the center piece of which is the non-ergodicity property which has recently been proved for a wide range of systems in statistical mechanics [7]. These approach allowed us to develop general thermodynamic approaches to explaining some of the well-known physiological phenomena, which can be used for further physical analysis of these phenomena using specific physical models

Search for Standard Higgs Boson at Supercolliders

We review the standard Higgs boson physics and the search for higgs boson at LEP and LHC supercollidersComment: latex, 70 pages, 15 ps.figure

Schlesinger system, Einstein equations and hyperelliptic curves

We review recent developments in the method of algebro-geometric integration of integrable systems related to deformations of algebraic curves. In particular, we discuss the theta-functional solutions of Schlesinger system, Ernst equation and self-dual SU(2)-invariant Einstein equations.Comment: dedicated to the memory of Moshe Flat

Search for new physics at LHC

We review the search for new physics to be performed at the Large Hadron Collider(LHC). Namely, we review the expectations for the Higgs boson, supersymmetry and exotica detection at LHC. We also describe the main parameters of the CMS and ATLAS detectors.Comment: 93 pages, 31 figures, added reference