Conformal anomaly from gauge fields without gauge fixing

We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularisation is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken $U(1|1)$ supergauge theory. We first provide a realisation that leaves behind two versions of the original $U(1)$ gauge field, and then construct a manifestly $U(1|1)$ supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.Comment: 24 page

The hardwiring of development: Organization and function of genomic regulatory systems

The gene regulatory apparatus that directs development is encoded in the DNA, in the form of organized arrays of transcription factor target sites. Genes are regulated by interactions with multiple transcription factors and the target sites for the transcription factors required for the control of each gene constitute its cis-regulatory system. These systems are remarkably complex. Their hardwired internal organization enables them to behave as genomic information processing systems. Developmental gene regulatory networks consist of the cis-regulatory systems of all the relevant genes and the regulatory linkages amongst them. Though there is yet little explicit information, some general properties of genomic regulatory networks have become apparent. The key to understanding how genomic regulatory networks are organized, and how they work, lies in experimental analysis of cis-regulatory systems at all levels of the regulatory network

Macroeconomic Effects of Deregulation in Goods Market with Heterogeneous Firms

This paper builds on the Blanchard and Giavazzi (2003) model of deregulation. We concentrate on product market to construct a framework explaining in a more nuanced way the redistributive effects of deregulation between sectors and within the same sector, and possible oppositions to this policy by firms and workers. In a general equilibrium framework, we introduce two sectors(regulated and unregulated), heterogeneity in firms' productivity, and a…fixed cost of entry. In such a context effects of deregulation policies can be ambiguous depending on some parametric restrictions, and sometime counterproductive. As a result, deregulation policies are not always welfare improving: a deregulation action will succeed in increasing competition and reducing mark up when the economy is already partially deregulated (sufficiently high level of competition), but may achieve the opposite outcome when it is highly regulated. Additionally, we study the choice of the best policy instrument and the optimal sequencing in the use of instruments.

Exact renormalization group equation in presence of rescaling anomaly

Wilson's approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the rescaling of superfields. We carry out the explicit computation for N=1 SUSY Yang-Mills theory with the simpler, gauge invariant regularization method, recently proposed by Arkani-Hamed and Murayama. The result is that the Wilsonian action S_M consists of two terms, i.e. the non anomalous term, which obeys Polchinski's flow equation and Fujikawa-Konishi determinant contribution. This latter is responsible for Shifman-Vainshtein relation of exact beta-function.Comment: 19 pages, no figures; an appendix and reference added; typos correcte

Navier-Stokes turbine heat transfer predictions using two-equation turbulence

Navier-Stokes calculations were carried out in order to predict the heat transfer rates on turbine blades. The calculations were performed using TRAF2D which is a two-dimensional, explicit, finite volume mass-averaged Navier-Stokes solver. Turbulence was modeled using q-omega and k-epsilon two-equation models and the Baldwin-Lomax algebraic model. The model equations along with the flow equations were solved explicitly on a non-periodic C grid. Implicit residual smoothing (IRS) or a combination of multigrid technique and IRS was applied to enhance convergence rates. Calculations were performed to predict the Stanton number distributions on the first stage vane and blade row as well as the second stage vane row of the Rocketdyne Space Shuttle Main Engine (SSME) high pressure fuel turbine. The comparison with the experimental results, although generally favorable, serves to highlight the weaknesses of the turbulence models and the possible areas of improving these models for use in turbomachinery heat transfer calculations

External debt sustainability and domestic debt in Heavily Indebted Poor Countries

In this paper we stress the limits of the current debt sustainability framework used in the IMF-WB HIPC Initiative and the necessity to include domestic public debt into the analysis. The standard sustainability analysis does not take into account the fully-fledged budget constraint and the feedback effects of the fiscal and monetary adjustment required by multilateral programs. The switch from foreign to domestic borrowing, and rising domestic real interest rates are likely to undermine the overall sustainability and the success of debt relief programs. This work focuses on the evaluation of public debt sustainability in a simple accounting framework. We use data on external public debt (multilateral and bilateral) and on domestic public debt to underline how the inclusion of domestic debt into the analysis undermines the sustainability target.HIPC; Domestic debt; Debt sustainability; Debt Relief

N=1* model superpotential revisited (IR behaviour of N=4 limit)

The one-loop contribution to the superpotential, in particular the Veneziano-Yankielowicz potential in N=1 supersymmetric Yang-Mills model is discussed from an elementary field theory method and the matrix model point of view. Both approaches are based on the Renormalization Group variation of the superconformal N=4 supersymmetric Yang-Mills model.Comment: 31 page

Universality From Very General Nonperturbative Flow Equations in QCD

In the context of very general exact renormalization groups, it will be shown that, given a vertex expansion of the Wilsonian effective action, remarkable progress can be made without making any approximations. Working in QCD we will derive, in a manifestly gauge invariant way, an exact diagrammatic expression for the expectation value of an arbitrary gauge invariant operator, in which many of the non-universal details of the setup do not explicitly appear. This provides a new starting point for attacking nonperturbative problems.Comment: 4 pages, 1 figur

Donor/Acceptor Heterojunction Organic Solar Cells

The operation and the design of organic solar cells with donor/acceptor heterojunction structure and exciton blocking layer is outlined and results of their initial development and assessment are reported. Under halogen lamp illumination with 100 mW/cm2 incident optical power density, the devices exhibits an open circuit voltage VOC = 0.45 V, a short circuit current density JSC between 2 and 2.5 mA/cm2 with a fill factor FF ≈ 50%, an external quantum efficiency (electrons/s over incident photons/s) EQE ≈ 5% and a power conversion efficiency of about 0.5%. Measurements of the photoelectrical characteristics with time are also reported, confirming that non encapsulated organic solar cells have limited stability in ambient atmosphere