No abstract

A generalized two-brane Randall-Sundrum warped braneworld model admits of solutions of the warp factor for both positive or negative cosmological constant on the visible 3-brane which can resolve the naturalness problem in connection with the fine tuning of Higgs mass in the standard model of elementary particles. To explore the location of the standard model fermions in such a generalized warped model, we, in this work, determine the dependence of the localization profile of a bulk fermion on the brane cosmological constant brane tension and the bulk fermion mass. Our results reveal that for a positive and small value of the induced cosmological constant a bulk fermion is localized close to the brane. On the other hand for a visible brane with negative cosmological constant and positive tension , the fermions are localized inside the bulk leading to phenomenologically interesting possibilities.

Specific heat per particle (cv) of an ideal gas, in many occasions, is interpreted as energy fluctuation per particle (△ǫ 2 ) of the ideal gas through the relation: △ǫ 2 = kT 2 cv, where k is the Boltzmann constant and T is the temperature. This relationship is true only in the classical limit, and deviates significantly in the quantum degenerate regime. We have analytically explored quantum to classical crossover of this relationship, in particular, for 3-D free Bose and Fermi gases. We also have explored the same for harmonically trapped cases. We have obtained a hump of △ǫ 2 /kT 2 c (cl) v around the condensation point for 3-D harmonically trapped Bose gas. We have discussed the possibility of occurring phase transition with discontinuity of heat capacity from existence of such a hump for other Bose and Fermi systems.

In a six dimensional brane world model with multiple $S_1/Z_2$ warping, two of the 4-branes at the boundaries have coordinate dependent brane tensions in order to implement the orbifolded boundary conditions consistently. Such brane tension is shown to be equivalent to a scalar field distribution on the brane [1]. We show that in such a scenario a masslesss left chiral fermion on the 4-brane localizes naturally on the standard model 3-brane located at one edge of the compact manifold while the massless right chiral fermion wave function as well as the wave functions for the massive fermion modes peak away from this brane. This offers a mechanism of obtaining massless chiral fermion with only one of its chiral component present in our brane.Comment: 13 pages, 6 figures, Revtex 4, matches with published versio

Abstract. In this paper we provide a cryptanalysis of the well known "Optimal Differential Energy Watermarking (DEW)" scheme. The DEW scheme divides the image into some disjoint regions (each region containing two subregions). The watermark is basically a secret binary string where each individual bit information is inserted in one of the regions by modifying the high frequency DCT (Discrete Cosine Transform) coefficients. This modification creates required energy difference between two subregions. We here modify the high frequency components so that this energy difference vanishes and in turn extraction of watermark signal becomes impossible, making the cryptanalysis successful. Moreover, we modify the DEW scheme by inserting the bit information in low frequency components instead of high frequency components and propose an oblivious robust watermarking strategy which can trace the buyer too.