Non linear evolution: revisiting the solution in the saturation region

In this paper we revisit the problem of the solution to Balitsky-Kovchegov equation deeply in the saturation domain. We find that solution has the form of Levin-Tuchin solution but it depends on variable \bar{z} = \ln(r^2 Q^2_s) + \mbox{Const} and the value of \mbox{Const} is calculated in this paper. We propose the solution for full BFKL kernel at large $z$ in the entire kinematic region that satisfies the McLerram-Venugopalan initial conditionComment: 15 pp, 8 figures in eps file

Crime, Street Vendors and the Historical Downtown in Post-Giuliani Mexico City

This article endeavors to go deeply into the recent transformations that have taken place in the regulation of street-level economic and business activities in Mexico City. It draws upon data collected during the course of a three-year research project carried out from 2007 to 2009, a specific timeframe when the urban authority deployed different legal and repressive strategies in order to 'clean-up' the streets of the city's downtown areas, in keeping with the Giuliani Group's advice. This paper intends to clarify two different dynamics: (a) how the urban authorities went about applying Giuliani's advice to clean up the streets, and (b) the consequences these initiatives may have on the historical downtown core. My principal task is to offer a tentative insight into whether the incorporation of Giuliani's repressive approach to urban planning has affected a specific urban space where, for decades, street-level economic, business and trade activities have been intimately interrelated with the creation of a city's street culture. Research findings suggest that in those countries where street economic activities constitute a die-hard method of eking out one's sustenance, the relation between order and crime may be more porous and indeterminate than is recognized and acknowledged by the majority of sociolegal studies that have, over the course of time, developed around this topic

Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation

In this paper, we use the re-summation procedure, suggested in Refs.\cite{DIMST,SALAM,SALAM1,SALAM2}, to fix the BFKL kernel in the NLO. However, we suggest a different way to introduce th non-linear corrections in the saturation region, which is based on the leading twist non-linear equation. In the kinematic region:$\tau\,\equiv\,r^2 Q^2_s(Y)\,\leq\,1$ , where $r$ denotes the size of the dipole, $Y$ its rapidity and $Q_s$ the saturation scale, we found that the re-summation contributes mostly to the leading twist of the BFKL equation. Assuming that the scattering amplitude is small, we suggest using the linear evolution equation in this region. For $\tau \,>\,1$ we are dealing with the re-summation of \Lb \bas \,\ln \tau\Rb^n and other corrections in NLO approximation for the leading twist.We find the BFKL kernel in this kinematic region and write the non-linear equation, which we solve analytically. We believe the new equation could be a basis for a consistent phenomenology based on the CGC approach.Comment: 22pp. 12 figures in pdf file

CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS

In the paper we discussed the evolution equations for diffractive production in the framework of CGC/saturation approach, and found the analytical solutions for several kinematic regions. The most impressive features of these solutions are, that diffractive production does not exibit geometric scaling behaviour i.e. being a function of one variable. Based on these solutions, we suggest an impact parameter dependent saturation model, which is suitable for describing diffraction production both deep in the saturation region, and in the vicinity of the saturation scale. Using the model we attempted to fit the combined data on diffraction production from H1 and ZEUS collaborations. We found that we are able describe both x_\pom and $\beta$ dependence, as well as $Q$ behavior of the measured cross sections. In spite of the sufficiently large $\chi^2/d.o.f.$ we believe that our description provides an initial impetus to find a fit of the experimental data, based on the solution of the CGC/saturation equation, rather than on describing the diffraction system in simplistic manner, assuming that only quark-antiquark pair and one extra gluons, are produced.Comment: 20pp. 14 figures in eps forma

Karyotype description of Cephalotrigona femorata Smith (Hymenoptera: Apidae) and the C-banding pattern as a specific marker for Cephalotrigona

Cephalotrigona femorata (Smith, 1854) was submitted to cytogenetic techniques to study and describe its karyotype. Conventional staining allowed the counting (2n=34) and observation of chromosome morphology. The amount and distribution of heterochromatin in this species was different from Cephalotrigona capitata (Smith, 1854), another species of the genus already analyzed. Our results indicate that heterochromatin a potential marker for the genus, at least for the species found in Brazil. This region was marked by DAPI, revealing a high content of A:T. The CMA3 marked two pairs, and it seems to be  polymorphic in one pair

DGLAP evolution for DIS diffraction production of high masses

In this paper we develop the DGLAP evolution for the system of produced gluons in the process of diffractive production in DIS, directly from the evolution equation in Color Glass Condensate approach. We are able to describe the available experimental data with small value of the QCD coupling ($\bar{\alpha_S} \approx 0.1$). We conclude that in diffractive production, we have a dilute system of emitted gluons and in the order to describe them, we need to develop the next-to-leading order approach in perturbative QCD.Comment: 20 pp. 7 figs in eps files. arXiv admin note: text overlap with arXiv:1802.0634