Gluon confinement and quantum censorship

The dynamical Maxwell-cut, a degeneracy is shown to be a precursor of condensate in the phi4 and the sine-Gordon models. The difference of the way the Maxwell-cut is obtained is pointed out and quantum censorship, the generation of semiclassically looking phenomenon by loop-corrections is conjectured in the sine-Gordon model. It is argued that quantum censorship and gluon confinement exclude each other.Comment: Talk prepared for the conference "Gribov-80", May 26-28, 2010, ICTP Trieste, Italy, 6 pages, 4 figure

Spinodal Instability and Confinement

It is pointed out that inhomogeneous condensates or spinodal instabilities suppress the propagation of elementary excitations due to the absorptive zero mode dynamics. This mechanism is shown to be present in the scalar phi4 model and in Quantum Gravity. It is conjectured that the plane waves states of color charges have vanishing scattering amplitude owing to the color condensate in the vacuum.Comment: Talk presented at the Workshop GRIBOV-75, Budapest, May 2005, 12 page

Patterns of primes

In the present work the existence of some patterns of primes is shown which generalize the celebrated result of Green and Tao according to which there are arbitrarily long arithmetic progressions in the sequence of prime

Environment Induced Time Arrow and the Closed Time Path method

It is shown in the framework of a harmonic system that the thermodynamical time arrow is induced by the environmental initial conditions in a manner similar to spontaneous symmetry breaking. The Closed Time Path formalism is introduced in classical mechanics to handle Green functions for initial condition problems by the action principle, in a systematic manner. The application of this scheme for quantum systems shows the common dynamical origin of the thermodynamical and the quantum time arrows. It is furthermore conjectured that the quantum-classical transition is strongly coupled.Comment: 10 pages, 1 figures, talk presented at DICE2012, Castiglioncello, September 201

An exact solution of the Currie-Hill equations in 1 + 1 dimensional Minkowski space

We present an exact two-particle solution of the Currie-Hill equations of Predictive Relativistic Mechanics in $1 + 1$ dimensional Minkowski space. The instantaneous accelerations are given in terms of elementary functions depending on the relative particle position and velocities. The general solution of the equations of motion is given and by studying the global phase space of this system it is shown that this is a subspace of the full kinematic phase space.Comment: 13 pages, LaTeX. arXiv admin note: text overlap with arXiv:1402.699