arXiv subjects

Zoltan Batiz

Publications and source records attributed to Zoltan Batiz.

5 recordsLinked to original sources

arXiv2011

Green's Function Formalism of Holography with Arbitrary Mass, Spin, and Dimensionality

In this work we present a mathematical description of how one can produce and read a thin hologram. We use different kinds of waves, such as scalar, vector (electromagnetic field, Maxwell-Proca fields, acoustic waves, etc.). For reading of the hologram, we use the Green's function formalism. With the help of computer simulations, we investigate the aberrations created by this procedure for the simplest case: 2d-scalar wave case.

physics.optics↗

arXiv2006

Holographic Principle and Quantum Physics

The concept of holography has lured philosophers of science for decades, and is becoming more and more popular on several fronts of science, e. g. in the physics of black holes. In this paper we try to understand things as if the visible universe were a reading of a low-dimensional hologram generated in hyperspace. We performed the whole process of creating and reading the hologram of a point in virtual space by using computer simulations. We claim that the fuzzieness in quantum mechanics, in statistical physics and thermodynamics is due to the fact that we do not see the real image of the object, but a holographic projection of it. We found that the projection of a point particle is a de Broglie-type wave. This indicates that holography could be the origin of the wave nature of a particle. We have also noted that one cannot stabilize the noise (or fuzzieness) in terms of the integration grid-points of the hologram, it means that one needs to give the grid-points a physical significance. So we further claim that the space is quantized, which supports the basic assumption of quantum gravity. Our study in the paper, although it is more qualitative, yet gives a smoking gun hint of a holographic basis of physical reality.

physics.comp-ph↗

arXiv2003

Quark-Hadron Duality and Scaling in Reduced QCD

We introduce a generalization of 1+1 dimensional large Nc QCD, which we refer to as ``reduced'' QCD, or rQCD. In this model gluons and quark momenta live in 1+1 dimensions only, but the quark spin and all other particles (leptons, and the photon) live in the full 1+3 dimensions. The bound states of quarks and antiquarks are identical to those originally described by 't Hooft (except that there are new transversely polarized states previously excluded), so the model is exactly soluable. However, significant differences arise when the model is applied to electromagnetic interactions. After reviewing the strongly interacting sector of the theory, we discuss deep inelastic scattering (DIS) in this model, and show that the new states with transverse polarization give the Callan-Gross relation and remove the pathological features of the original 1+1 dimensional description. We conclude that rQCD gives a satisfactory description of the phenomenology and provides a deep understanding of both duality and DIS.

nucl-th↗

arXiv1999

Gravitational coupling to two-particle bound states and momentum conservation in deep inelastic scattering

The momentum conservation sum rule for deep inelastic scattering (DIS) from composite particles is investigated using the general theory of relativity. For two 1+1 dimensional examples, it shown that covariant theories automatically satisy the DIS momentum conservation sum rule provided the bound state is covariantilly normalized. Therefore, in these cases the two DIS sum rules for baryon conservation and momentum conservation are equivalent.

nucl-th↗

arXiv1998

Pole Term and Gauge Invariance in Deep Inelastic Scattering

In this paper we reconcile two contradictory statements about deep inelastic scattering (DIS) in manifestly covariant theories: (i) the scattering must be gauge invariant, even in the deep inelastic limit, and (ii) the pole term (which is not gauge invariant in a covariant theory) dominates the scattering amplitude in the deep inelastic limit. An ``intermediate'' answer is found to be true. We show that, at all energies, the gauge dependent part of the pole term cancels the gauge dependent part of the rescattering term, so that both the pole and rescattering terms can be separately redefined in a gauge invariant fashion. The resulting, redefined pole term is then shown to dominate the scattering in the deep inelastic limit. Details are worked out for a simple example in 1+1 dimensions.

nucl-th↗