Renormalized Polyakov Loops, Matrix Models and the Gross-Witten Point

The values of renormalized Polyakov loops in the three lowest representations of SU(3) were measured numerically on the lattice. We find that in magnitude, condensates respect the large-N property of factorization. In several ways, the deconfining phase transition for N=3 appears to be like that in the N=infinity matrix model of Gross and Witten. Surprisingly, we find that the values of the renormalized triplet loop are described by an SU(3) matrix model, with an effective action dominated by the triplet loop. Future numerical simulations with a larger number of colors should be able to show whether or not the deconfining phase transition is close to the Gross-Witten point.Comment: 9 pages, 3 figures, Combined contribution to proceedings of Strong and Electroweak Matter 2004 (SEWM 2004), Helsinki, Finland, 16-19 June 200

The boundary of the first order chiral phase transition in the m_pi-m_K--plane with a linear sigma model

Tree-level and complete one-loop parametrisation of the linear sigma model (LSM) is performed and the phase boundary between first order and crossover transition regions of the m_pi-m_K-plane is determined using the optimised perturbation theory (OPT) as a resummation tool of perturbative series. Away from the physical point the parameters of the model were determined by making use of chiral perturbation theory (ChPT). The location of the phase boundary for m_pi=m_K and of the tricritical point (TCP) on the m_pi=0 were estimated.Comment: 4 pages, 1 figure, uses espcrc1.sty; to appear in the proceedings of Strong and Electroweak Matter 2006 (SEWM06), BNL, May 200

Restoring the ‘historical deficit’: The exercise of the right to freedom of religion and culture in democratic South Africa

On 18 January 1960, LIFE magazine began a series of articles on democracy around the world. The newly independent nation of Ghana (1957) was featured in Part 1 and the cover photograph was of Augustus Molade Akiwumi, the Speaker of the House in Ghana, dressed in British-style wig and robes. The title of the feature article read, ‘Ghana’s Leap from Stone Age to Eager New Nationhood’. The feature explains that in Ghana ‘Courts are being built, and in lower courts the temporary local judges are being replaced with more qualified appointees to settle local disputes and initiate the people in the mechanics of Western justice’. However in stark contrast to the portrayal of pre-colonial Ghana as ‘Stone Age’ the Asanti peoples of Ghana developed a complex, hierarchical society and legal system centuries before Europeans ever arrived on the continent. In critical reflection of the magazine cover, this article is founded on demonstrating how the colonial, post-colonial, apartheid and post-apartheid state have through an oppressive stance suppressed indigenous religious and cultural diversity. In addition, it is asserted that the current constitutional arrangements have not at all times effectively dealt with this subjugation. It is presupposed that unless a positive approach towards religious and cultural integrity is displayed and an environment is created in which these rights to freedom of religion and culture may prosper, the constitutional endeavour of establishing unity and solidarity in our diverse society will remain elusive. In conclusion, some approaches to enhancing this constitutional endeavour are proffered.Web of Scienc

Building evaluative criteria for the social studies in the elementary school

Thesis (Ed.M.)--Boston Universit

Topological Charge Membranes in 2D and 4D Gauge Theory

Local topological charge structure in the 2D CP(N-1) sigma models is studied using the overlap Dirac operator. Long-range coherence of topological charge along locally 1D regions in 2D space-time is observed. We discuss the connection between these results and the recent discovery of coherent 3D sheets of topological charge in 4D QCD. In both cases, coherent regions of topological charge form along surfaces of approximmate codimension 1.Comment: Lattice2004(topology