Vikram Soni

Single particle Schrödinger equation with gravitational self-interaction

Abstract Following suggestions by several authors that the gravity may play a role in the collapse of the wavefunction during the measurement process, we have made a study of the Schrodinger–Newton Equation, which is a single particle equation, in which the degrees of freedom of the associated gravitational field of the particle are incorporated in an averaged self-consistent manner through the addition of a gravitational self-potential. We show that there exists a class of stationary self-bound solutions whose energy eigenvalues can be determined exactly using an asymptotic method. Since this equation has also been investigated in other contexts like plasma physics and astrophysics, our solutions are of larger interest. This analysis provides us with a length scale within which the predictions of standard quantum mechanics are valid, but beyond which the gravitational effects dominate. These effects do not permit spatial superpositions of wavefunction beyond this scale, leading toa possible quantum to classical transition dependent on the mass of the particle. We find a limiting mass, that is effectively the Planck mass, above which this equation may not be valid.

B violation with sphalerons and electroweak strings

Abstract We show that the sphaleron energy which identifies with the (instanton) potential barrier for B violation is reduced in the presence (background) of an electroweak Z string. We also show that for strings carrying two or more flux quanta the sphaleron energy can go negative. Such electroweak Z strings can then reduce their energy by accumulating sphaleron bound states. As the strings decay, since they are creatures of the broken CP violating phase, the sphalerons will no longer be bound and will thus complete the instanton process preferentially to yield a baryon asymmetry.

EFFECTIVE LAGRANGIAN FOR THE TWO-COMPONENT APPROACH TO THE "PROTON SPIN" PUZZLE

We display an effective chiral Lagrangian which illuminates the mechanism found by Shore and Veneziano for decomposing the proton matrix element of the axial singlet current into quark and gluonic pieces. The entire matrix element is shown to be proportional to the amplitude for SU(3) singlet exchange in baryon-baryon scattering at zero momentum transfer. An effect of SU(3) symmetry breaking relevant for analysis of the EMC experiment is discussed. In addition, an exact solution is presented for the pseudoscalar quark densities which enter into an alternative method of derivation.

AN ASYMPTOTICALLY FREE CHIRAL LINEAR SIGMA MODEL WITH QUARKS COUPLED TO GLUONS

We show that the chiral σ-model with quarks when coupled to gluons can be asymptotically free. Alternatively, this theory is QCD that is chirally extended by the addition of a (σ, π) chiral multiplet. It could therefore be a possible theory for the strong interactions.

Planck scale physics of the single-particle Schrödinger equation with gravitational self-interaction

AbstractWe consider the modification of a single-particle Schrödinger equation by the inclusion of an additional gravitational self-potential term which follows from the prescription that the ‘massdensity’ that enters this term is given by m|ψ(

New window on strange quark matter as the ground state of strongly interacting matter

\overrightarrow r

Topological electropoles in (4+1)-dimensional EYMCS theory

,t)|2, where ψ(