Unconstrained SU(2) Yang-Mills Quantum Mechanics with Theta Angle

The unconstrained classical system equivalent to spatially homogeneous SU(2) Yang-Mills theory with theta angle is obtained and canonically quantized. The Schr\"odinger eigenvalue problem is solved approximately for the low lying states using variational calculation. The properties of the groundstate are discussed, in particular its electric and magnetic properties, and the value of the "gluon condensate" is calculated. Furthermore it is shown that the energy spectrum of SU(2) Yang-Mills quantum mechanics is independent of the theta angle. Explicit evaluation of the Witten formula for the topological susceptibility gives strong support for the consistency of the variational results obtained.Comment: 20 pages REVTEX, no figures, one reference added, final version to appear in Phys. Rev.

Hamiltonian reduction of SU(2) Dirac-Yang-Mills mechanics

The SU(2) gauge invariant Dirac-Yang-Mills mechanics of spatially homogeneous isospinor and gauge fields is considered in the framework of the generalized Hamiltonian approach. The unconstrained Hamiltonian system equivalent to the model is obtained using the gaugeless method of Hamiltonian reduction. The latter includes the Abelianization of the first class constraints, putting the second class constraints into the canonical form and performing a canonical transformation to a set of adapted coordinates such that a subset of the new canonical pairs coincides with the second class constraints and part of the new momenta is equal to the Abelian constraints. In the adapted basis the pure gauge degrees of freedom automatically drop out from the consideration after projection of the model onto the constraint shell. Apart from the elimination of these ignorable degrees of freedom a further Hamiltonian reduction is achieved due to the three dimensional group of rigid symmetry possessed by the system.Comment: 25 pages Revtex, no figure

Hydrodynamic Problem of Closed Channel in the Gorge of the River Vere

It is obvious that the project of the section of the high-speed highway in the gorge of the river Vere could not contain an analysis of probable negative consequences of this construction. It was miscount assumed that the closed channel, in addition to the transport problem, could also solve the flood problem in the lower part of the Vere gorge. It seems that mistakes were made during the design process, the reason of which is disregard of the factor of the hydraulic resistance in the tunnels having corrugated inner surfaces. As a result, the closed riverbed turned into an even greater danger than the historically known river Vere. Proceeding from such a vision of the reason for the development of the events, we cannot agree with the widely spread opinion that the devastating flood on 13.06.2015 was caused by anomalously heavy precipitation

On the Modeling of Thermal Mechanism of Vortex Generation in the Lower Atmosphere

Energy dissipation in the atmosphere layer near the Earth surface is associated with diffusive and convective processes, which are determined by differential equations of the second order. Self-consistency in hydrodynamic equations systems is a particularly difficult mathematical problem. Therefore, there is a method of using simplifying assumptions in order to receive an image of atmospheric mass motion. Namely, during any laminar motion in the sea or atmosphere there may generate a vortex that will cause a local perturbance

Search for supersymmetry in proton-proton collisions at 13 TeV using identified top quarks

A search for supersymmetry is presented based on proton-proton collision events containing identified hadronically decaying top quarks, no leptons, and an imbalance p(T)(miss) in transverse momentum. The data were collected with the CMS detector at the CERN LHC at a center-of-mass energy of 13 TeV, and correspond to an integrated luminosity of 35.9 fb(-1). Search regions are defined in terms of the multiplicity of bottom quark jet and top quark candidates, the p(T)(miss) , the scalar sum of jet transverse momenta, and themT2 mass variable. No statistically significant excess of events is observed relative to the expectation from the standard model. Lower limits on the masses of supersymmetric particles are determined at 95% confidence level in the context of simplified models with top quark production. For a model with direct top squark pair production followed by the decay of each top squark to a top quark and a neutralino, top squark masses up to 1020 GeVand neutralino masses up to 430 GeVare excluded. For amodel with pair production of gluinos followed by the decay of each gluino to a top quark-antiquark pair and a neutralino, gluino masses up to 2040 GeVand neutralino masses up to 1150 GeVare excluded. These limits extend previous results.Peer reviewe

Search for supersymmetry in events with photons and missing transverse energy in pp collisions at 13 TeV

Peer reviewe