This paper gives an overview of recently developed model for the QCD analytic invariant charge. Its underlying idea is to bring the analyticity condition, which follows from the general principles of local Quantum Field Theory, in perturbative approach to renor-malization group (RG) method. The concrete realization of the latter consists in explicit imposition of analyticity requirement on the ...

The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom, such as, for example, in quantum field theory and critical phenomena. What all these methods have in common—which is what explains their success—is that they allow a systematic search for those degrees of freedom that happen to be relevant to th...

Renormalization techniques in perturbative quantum field theory were known, from their inception, to have a strong combinatorial content emphasized, among others, by Zimmermann’s celebrated forest formula. The present article reports on recent advances on the subject, featuring the role played by the Dynkin operators (actually their extension to the Hopf algebraic setting) at two crucial levels...

The extraordinary growth of interconnected computer network & pervasive trends of using this network as new field for conducting Business process are stimulating the demand for new payment methods. These new methods attain high level of security, speed, privacy, decentralization & internationalization. This seminar surveys the state of art in payment technology & we proposed model for electroni...

The connection of ad-hoc networks to the Internet is typically established via gateways. To start an Internet connection, in a first step gateways have to be discovered by the mobile nodes within the ad-hoc cluster. Several gateway selection schemes have been proposed that select gateway nodes based on a single Quality of Service parameter, link capacity, link quality, path availability period,...

In recent years, researchers have been attracted to clustering methods to improve communication and data transmission in a network. Compared with traditional wireless networks, wireless sensor networks are energy constrained and have lower data rates. The concept of implementing a clustering algorithm in an existing project on gateway relocation is being explored here. Low energy adaptive clust...

In the recent years, there exist an ever-growing demand for ubiquitous connectivity which requires seamless integration of Mobile Ad hoc Network, Wireless LAN and Cellular networks. Integration of these networks results in a heterogeneous wireless network (HWN) architecture which is capable of providing high data-rate, end-to-end connectivity utilizing the higher bandwidth of multi-hop networks...

We start with a simple introduction into the renormalization group (RG) in quantum field theory and give an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT. Here, some fresh results are included. Then we turn to the remarkable proliferation of the RG ideas into various fields of physics. The last section summarize...

We study the energy dependence of the saturation momentum in the context of the collinearly improved Leading and Next to Leading BFKL evolution, and in the presence of saturation boundaries. We find that the logarithmic derivative of the saturation momentum is varying very slowly with Bjorken-x, and its value is in agreement with the GolecBiernat and Wüsthoff model in the relevant x region. The...