arXiv subjects
Publications and source records attributed to Pavle Midodashvili.
In the article, we investigate localization problem for spinor fields within the 6D standing wave braneworld with the bulk real scalar field, introduced earlier in [30], and explicitly show that there is no normalizable fermion field zero mode trapped on the brane.
In the braneworld scenario the zero mode gravitons are trapped on a brane due to non-linear warping effect, so that gravitational waves can reflect from the brane walls. If the reflected waves form an interference pattern on the brane then it can be detected on existing detectors due to spatial variations of intensity in the pattern. As an example we interpret the LIGO event GW150914 as a manifestation of such interference pattern produced by the burst gravitational waves, emitted by a powerful source inside or outside the brane and reflected from the brane walls.
In the article we investigate localization problem for spinor fields within the 5D standing wave braneworld with the bulk real scalar field and show that there exist normalizable fermion field zero modes on the brane.
The new class of the non-stationary solutions to the system of N-dimensional equations for coupled gravitational and massless scalar field is found. The model represents a single (N-1)-brane in a space-time with one large (infinite) and (N-5) small (compact) space-like extra dimensions. In some particular cases the model corresponds to the gravitational and scalar field standing waves bounded by the brane. These braneworlds can be relevant in string and other higher dimensional models.
We investigate localization problem for gauge fields within the 5D standing wave braneworld with real scalar field and show that there exist normalizable vector field zero modes on the brane.
We introduce the new 5D braneworld with the real scalar field in the bulk. The model represents the brane which bounds collective oscillations of gravitational and scalar field standing waves. These waves are out of phase, i.e. the energy of oscillations passes back and forth between the scalar and gravitational waves. When the amplitude of the standing waves is small the brane width and the size of the horizon in extra space are of a same order of magnitude, and matter fields are localized in extra dimension due to the presence of the horizon. When oscillations are large trapping of matter fields on the brane is provided mainly by the pressure of bulk waves. It is shown that in this case the mass of the lightest KK mode is determined by the smaller energy scale corresponding to the horizon size, i.e. these modes can be created in accelerators at relatively low energies, which gives a chance to check the present model.
We introduce new 6D standing wave braneworld model generated by gravity coupled to a phantom-like scalar field and investigate the problem of pure gravitational localization of matter fields. We show that in the case of increasing warp factor spin 0, 1, 1/2 and 2 fields are localized on the brane.
We investigate the problem of pure gravitational localization of matter fields within the 5D standing wave braneworld generated by gravity coupled to a phantom-like scalar field. We show that in the case of increasing warp factor there exist normalizable zero modes of spin-0, -1/2, -1, and -2 fields on the brane.
We investigate the problem of localization of gauge fields within the 5D standing wave braneworld model and show that in the case of increasing warp factor there exist normalizable vector field zero modes on the brane.
We investigate the 5D massless fermionic fields within the standing wave braneworld model. We show that in the case of increasing warp factor there exist localized left spinor field zero modes on the brane, while right fermion wave functions are not normalizable.
We investigate scalar and tensor fields in the brane model solution for the 5D space-time with standing gravitational waves in the bulk and show that even in the case of increasing warp factor there exist normalizable zero modes localized on the brane.
In the article it is explicitly found new possible brane model solutions for the 5D spacetime physical set-up. These solutions require a ghost-like bulk scalar-field and the 3-brane at the origin of extra coordinate.
We analyze the limits that quantum mechanics imposes on the accuracy to which $(4+n)$-dimensional spacetime geometry can be measured. Using physics of computation and light sheet concept we derive explicit expressions for quantum fluctuations and explore their cumulative effects for various spacetime foam models.
We examine the behavior of fermions in the presence of an internal compact 2-manifold which in one of the spherical angles exhibits a conical character with an obtuse angle. The extra manifold can be pictured as an apple-like surface i.e. a sphere with an extra "wedge" insert. Such a surface has conical singularities at north and south poles. It is shown that for this setup one can obtain, in four dimensions, three trapped massless fermion modes which differ from each other by having different values of angular momentum with respect to the internal 2-manifold. The extra angular momentum acts as the family label and these three massless modes are interpreted as the three generations of fundamental fermions.
A new solution to Einstein's equations with a negative bulk cosmological constant in infinite (1+5)-spacetime is found. It is shown that the zero modes of all kinds of matter fields and 4-gravity are localized in (1+3) subspace by the increasing and limited from above warp factor.