Confinement: Understanding the Relation Between the Wilson Loop and Dual Theories of Long Distance Yang Mills Theory

In this paper we express the velocity dependent, spin dependent heavy quark potential $V_{q\bar q}$ in QCD in terms of a Wilson Loop $W(\Gamma)$ determined by pure Yang Mills theory. We use an effective dual theory of long-distance Yang Mills theory to calculate $W(\Gamma)$ for large loops; i.e. for loops of size $R > R_{FT}$. ($R_{FT}$ is the flux tube radius, fixed by the value of the Higgs (monopole) mass of the dual theory, which is a concrete realization of the Mandelstam 't Hooft dual superconductor mechanism of confinement). We replace $W(\Gamma)$ by $W_{eff}(\Gamma)$, given by a functional integral over the dual variables, which for $R > R_{FT}$ can be evaluated by a semiclassical expansion, since the dual theory is weakly coupled at these distances. The classical approximation gives the leading contribution to $W_{eff}(\Gamma)$ and yields a velocity dependent heavy quark potential which for large $R$ becomes linear in $R$, and which for small $R$ approaches lowest order perturbative QCD. This latter fact means that these results should remain applicable down to distances where radiative corrections giving rise to a running coupling constant become important. The spin dependence of the potential reflects the vector coupling of the quarks at long range as well as at short range. The methods developed here should be applicable to any realization of the dual superconductor mechanism. They give an expression determining $W_{eff}(\Gamma)$ independent of the classical approximation, but semi classical corrections due to fluctuations of the flux tube are not worked out in this paper. Taking these into account should lead to an effective string theory free from the conformal anomaly.Comment: 39 pages, latex2e, 1 figure(fig.eps

Excerpts from selected LANDSAT 1 final reports in geology

The standard formats for the summaries of selected LANDSAT geological data are presented as checklists. These include: (1) value of LANDSAT data to geology, (2) geologic benefits, (3) follow up studies, (4) cost benefits, (5) optimistic working scales, (6) statistical analysis, and (7) enhancement effects

The cluster environments of radio loud quasars

We have carried out multi-colour imaging of the fields of a statistically complete sample of low-frequency selected radio loud quasars at 0.6<z<1.1, in order to determine the characteristics of their environments. The largest radio sources are located in the field, and smaller steep-spectrum sources are more likely to be found in richer environments, from compact groups through to clusters. This radio-based selection (including source size) of high redshift groups and clusters is a highly efficient method of detecting rich environments at these redshifts. Although our single filter clustering measures agree with those of other workers, we show that these statistics cannot be used reliably on fields individually, colour information is required for this.Comment: 5 pages, 3 figures, contribution to "Tracing Cosmic Evolution with Galaxy Clusters" (Sesto 2001), ASP Conference Serie

An interactive graphics program to retrieve, display, compare, manipulate, curve fit, difference and cross plot wind tunnel data

The Aerodynamic Data Analysis and Integration System (ADAIS), developed as a highly interactive computer graphics program capable of manipulating large quantities of data such that addressable elements of a data base can be called up for graphic display, compared, curve fit, stored, retrieved, differenced, etc., was described. The general nature of the system is evidenced by the fact that limited usage has already occurred with data bases consisting of thermodynamic, basic loads, and flight dynamics data. Productivity using ADAIS of five times that for conventional manual methods of wind tunnel data analysis is routinely achieved. In wind tunnel data analysis, data from one or more runs of a particular test may be called up and displayed along with data from one or more runs of a different test. Curves may be faired through the data points by any of four methods, including cubic spline and least squares polynomial fit up to seventh order

Effective String Theory of Vortices and Regge Trajectories

Starting from a field theory containing classical vortex solutions, we obtain an effective string theory of these vortices as a path integral over the two transverse degrees of freedom of the string. We carry out a semiclassical expansion of this effective theory, and use it to obtain corrections to Regge trajectories due to string fluctuations.Comment: 27 pages, revtex, 3 figures, corrected an error with the cutoff in appendix E (was previously D), added more discussion of Fig. 3, moved some material in section 9 to a new appendi

Comparion of Lattice and Dual QCD Results for Heavy Quark Potentials

Lattice results and Dual QCD results for all heavy quark potentials through order (quark mass)^${-2}$ are exhibited and compared. The agreement on the whole is quite good, confirming the validity of Dual QCD. NOTE: (The only important change in this replaced version is that Figure 6 has been replotted, because the lattice data used in the original was in the wrong units.)Comment: 15 pages revte

Semiclassical Quantization of Effective String Theory and Regge Trajectories

We begin with an effective string theory for long distance QCD, and evaluate the semiclassical expansion of this theory about a classical rotating string solution, taking into account the the dynamics of the boundary of the string. We show that, after renormalization, the zero point energy of the string fluctuations remains finite when the masses of the quarks on the ends of the string approach zero. The theory is then conformally invariant in any spacetime dimension D. For D=26 the energy spectrum of the rotating string formally coincides with that of the open string in classical Bosonic string theory. However, its physical origin is different. It is a semiclassical spectrum of an effective string theory valid only for large values of the angular momentum. For D=4, the first semiclassical correction adds the constant 1/12 to the classical Regge formula.Comment: 65 pages, revtex, 3 figures, added 2 reference

Individualised learning approach (the three ‘p’s) for a small to medium enterprise through work based learning

An ongoing challenge for education and training providers is to ensure learners can achieve maximum learning and recognition for their vocational education pathways. The strategy and case to be presented could best be described as the 3 ‘p’s approach to the provision of vocational education and training, that is: I. How we support people in their education and training II. What processes we use to provide education and training? III. The place where the learning opportunities are provided. The aim of this paper is to share an educational and training strategy that has been successfully implemented in an Australian enterprise. The strategy provided education and training for the members of the enterprise in a multidisciplinary manner from a certificate through to a degree outcome, entirely through work-based learning (WBL) pedagogy. The research was conducted with six candidates (employees of the enterprise) through their educational journey applying a range of WBL activities including projects and initiatives to improve processes and performances in the workplace. Each candidate's program involved designing the learning component following an initial phase of review of their previous learning’s and qualifications with a learning advisor. This process was deemed as 'the learning review'. The other component of this phase was to develop a learning plan to encapsulate an area of study or disciplinary process that would be relevant to the individual candidate. This process was deemed as 'the learning journey plan'. The second phase was for each candidate to prepare and undertake a problem based/research led learning activity through one or more workplace project/s with the support of the employer. The final phase involved a structured review and development of a final project report to outline the outcomes and learning’s achieved through the work based projects. The research undertaken included post-program interviews with the six candidates and the General Manager and provided an example of a relatable model for all workplaces as well as education and training provider

Work-based learning: a learning strategy in support of the Australian Qualifications Framework

Purpose – The purpose of this paper is to assess the extent to which work-based learning could potentially improve education and training pathways in Australia. Design/methodology/approach – The paper reviews education and training provision in Australia through a contextualisation of the Australian Qualification Framework (AQF) with work-based learning pedagogy to determine the extent to which it might contribute to improved outcomes for learners. Findings – People seeking to advance their career aspirations can consider the application of work-based learning to support lifelong learning pathways through the AQF. Research limitations/implications – There is a need for further longitudinal studies on the outcomes of work-based learning for organisations, individual learners and education and training institutions. Practical implications – The application of effective WBL approaches has the potential to create a much larger flow of learners from experiential and vocational backgrounds into undergraduate programmes and onto higher education programmes using a consistent and effective pedagogy. Social implications – By actively considering the opportunities for learning at work and through work learners, educators and business managers may recognise that there would be more demand for work-based learning. Originality/value – This paper represents an initial action research study which examines the role WBL can provide for life-long learning