Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach

Lower bounds for generalized Ginzburg-Landau functionals

Two tricritical lines from a Ginzburg - Landau expansion : application to the LOFF phase

We study the behavior of the two plane waves configuration in the LOFF phase close to T = 0. The study is performed by using a Landau-Ginzburg expansion up to the eighth order in the gap. The general study of the corresponding grand potential shows, under the assumption that the eighth term in the expansion is strictly positive, the existence of two tricritical lines. This allows to understand ...

Limits of Solutions to the Generalized Ginzburg-Landau Functional

Here f(u) = (DF )(u) is the negative gradient of F w.r.t. u. Note that weak solutions to (1.2) are smooth for p = 2. It is also well-known that, for p 6= 2, weak solutions u to (1.2) are in C , for some 2 (0; 1) (see also [Tp]). The functional I has been used by Chen-Struwe [CS], where they proved the negative gradient ow of I converges to a global weak solution of the heat equations of harmoni...

Bifurcation and of the Generalized Complex Ginzburg–landau Equation

We study in this paper the bifurcation and stability of the solutions of the complex Ginzburg–Landau equation(CGLE). We investigate two different modes of CGLE. We study the first mode of CGLE which has only cubic unstable nonlinear term and later we also study the second mode of CGLE which has both cubic and quintic nonlinear terms. The solutions considered in cubic CGLE bifurcate from the tri...

Dual Ginzburg-landau Theory and Chiral Symmetry Breaking

We study the properties of quarks, being confined in hadrons, with the Schwinger-Dyson equation in the dual Ginzburg-Landau Theory. Magnetic monopole condensation, which provides quark confinement, is demonstrated responsible also for dynamical chiral-symmetry breaking. We discuss then the recovery of the chiral symmetry at finite temperature.