Part 3: (H, PB) Interacting systems, phase transitions and critical phenomena (11 lectures) Interacting spin systems, Ising model. Interacting classical gas, cluster expansion, van der Waals equation of state, Virial Expansion, phase equilibrium, chemical equilibrium. Interacting quantum gases in atom traps. BCS theory of Superconductivity, Landau and Ginzburg Landau theory. Topological excitat...

Gauge fixing in lattice gauge theory simulations is crucial for many calculations e.g. the study of gauge dependent quantities such as the gluon propagator [1]. However, the standard lattice Landau gauge condition [2] is the same as the continuum condition, ∑ μ ∂μAμ = 0, only to leading order in the lattice spacing, a. The focus of this talk is to use mean-fieldimproved perturbation theory [3] ...

Earlier study of quark-hadron phase transition in the Ginzberg-Landau theory is reexamined in the Ising model, so that spatial fluctuations during the transition can be taken into account. Although the dimension of the physical system is 2, as will be argued, both d = 2 and d = 4 Ising systems are studied, the latter being theoretically closer to the Ginzberg-Landau theory. The normalized facto...

An exact solution of the collisionless time-dependent Vlasov equation is found for first time. By means this behavior Langmuir waves in nonlinear stage considered. The analysis restricted by consideration approximation keeping second power electric strength. It shown that general with finite amplitudes are not subject to damping. Only linear approximation, when wave amplitude very small, experi...