The nature of the phase transition in the lattice Gross-Neveu model with Wilson fermions is investigated using a new analytical technique. This involves a new type of weak coupling expansion which focuses on the partition function zeroes of the model. Its application to the single flavour Gross-Neveu model yields a phase diagram whose structure is consistent with that predicted from a saddle po...

Wilson-Cowan model is employed in studies concerning neuronal networks. This model consists of two nonlinear differential equations that represent the interaction between excitatory and inhibitory populations of neurons. The mutual influence of these populations is described through a sigmoidal function, which is usually chosen as the hyperbolic tangent or the logistic curve. Both choices make ...

We derive a partition function for the Lund fragmentation model and compare it with that of a classical gas. For a fixed rapidity “volume” this partition function corresponds to a multiplicity distribution which is very close to a binomial distribution. We compare our results with the multiplicity distributions obtained from the JETSET Monte Carlo for several scenarios. Firstly, for the fragmen...

We describe mirror manifolds in dimensions different from the familiar case of complex threefolds. We emphasize the simplifying features of dimension three and supply more robust methods that do not rely on such special characteristics and hence naturally generalize to other dimensions. The moduli spaces for Calabi–Yau d-folds are somewhat different from the “special Kähler manifolds” which had...

This paper describes a model for Computer Support Reflective Learning (CSRL) as a conceptual framework to support the design, application and evaluation for tools supporting reflection as a learning mechanism at work. The CSRL model has been derived from theory and inspired by empirical work done in the MIRROR project. It contains necessary steps of reflection, which form a reflection cycle and...

wilson disease is a metabolic disorder with an autosomal recessive genetic pattern and occurs in 1-4 of every 100000 individuals. inactivation of the atp7b gene leads to accumulation of the toxic copper to liver and brain causing hepatic and neurological complication. therefore, most patients suffer from chronic hepatic inflammation and central nervous system disorder. nowadays, up to 500 mutat...

We summarize our recent study [1] of the fermion spectrum in a fermion-scalar 2D model with a chiral U (1)L × U (1)R global symmetry. This model is obtained from a two-cutoff formulation of a 2D U (1) chiral gauge theory, in the limit of zero gauge coupling. The massless fermion spectrum found deep in the vortex phase is undoubled and chiral.

Confinement in QCD is due to a condensate of thick vortices with fluxes in the center of the gauge group (center vortices), as proposed long ago by the author and others. It is well-known that such vortices lead to an area law for fundamental-representation Wilson loops, but what happens for screened (e.g., adjoint) Wilson loops has been less clear, and problems have arisen over the large-N lim...

Confinement in QCD is due to a condensate of thick vortices with fluxes in the center of the gauge group (center vortices), as proposed long ago by the author and others. It is well-known that such vortices lead to an area law for fundamental-representation Wilson loops, but what happens for screened (e.g., adjoint) Wilson loops has been less clear, and confusion has arisen over the large-N lim...

The vacuum expectation value of the Wilson loop in the dual representation is calculated in the dual Higgs model with dual Dirac strings. It is shown that the averaged value of the Wilson loop in the dual representation obeys the area– law falloff. Quantum fluctuations of the dual–vector and the Higgs field around Abrikosov flux lines induced by dual Dirac strings in a dual superconducting vacu...