Chiral multicritical points driven by isospin density in the Ginzburg-Landau approach

We study how a chiral tricritical point (TCP) on QCD phase diagram is affected by the imbalance of up and down quark densities (isospin density), using the generalized Ginzburg-Landau (GL) approach. The resulting phase diagram near TCP shows a rich fine structure which includes inhomogeneities of both the chiral and the charged pion condensations. It turns out that the TCP splits into multicritical points.Comment: 4 pages, 2 eps figures. Presented at QCD@Work 2012: International Workshop on QCD - Theory and Experiment, June 18-21, Lecce (Italy

Bridging the Conceptual Gap

This paper claims that, contrary to the "Theory oriented" approach to cognitive development and instruction, children's informal concepts play important roles in learning, and reports two cases that support the constructivist view of learning. It is widely believed that children's knowledge about various domains is organized into coherent systems, i.e., theories. Although this approach provides a new perspective on knowledge organization, too much emphasis on the conceptual difference makes the interaction of prior knowledge and learning materials impossible. Without the interaction, learned rules remained uninterpreted. Consequently they can be applied only to a restricted set of problems. A case from mathematics revejJed that students' informal concept of concentration can be bridged to the formad one, by rewording quantitative terms in problems with quzditative terms. A case from physics showed that by combining fragmentJiry understandings, students could acquire the concept of force decomposition which is difficult to learn by formal instruction. Finally, instructional techniques are proposed that make use of informal concepts as a partial base analog to enrich students' understanding

Inter-meson Potentials in Dual Ginzburg-Landau Theory

We calculate inter-meson potentials numerically by solving classical equations of motion derived from Dual Ginzburg-Landau (DGL) Theory. Inter-meson potentials in DGL theory are shown to be similar to those of the string-flip model and well reproduce behaviors of the short-range interaction at the classical level. We also compare our results with those from lattice QCD Monte carlo calculations.Comment: 18 pages, latex, 8 figure