Phase Structure of Linear Sigma Model without Neutrality Constraint (I)

Lecture 3 : Non - linear - sigma - model : Part I

Abstract The O(N) non-linear-sigma-model (NLSM) is defined as an effective field theory that encodes the pattern of symmetry breaking of an O(N) classical Heisenberg model defined on a square lattice. A geometric and group theoretical interpretation of the O(N) NLSM is given. The notions of fixed points, relevant, marginal, and irrelevant perturbations are introduced. The real-valued scalar (fr...

Phase-I monitoring of standard deviations in multistage linear profiles

In most modern manufacturing systems, products are often the output of some multistage processes. In these processes, the stages are dependent on each other, where the output quality of each stage depends also on the output quality of the previous stages. This property is called the cascade property. Although there are many studies in multistage process monitoring, there are fewer works on prof...

× U ( 3 ) Linear Sigma Model

Statistical Properties of the Linear Sigma Model

The statistical equilibrium properties of the linear sigma model are studied, with a view towards characterizing the field configurations employed as initial conditions for numerical simulations of the formation of disoriented chiral condensates in high-energy nuclear collisions. The field is decomposed into its spatial average, the order parameter, and the fluctuations, the quasi-particles, an...

Linear concurrent constraint programming : operational and phase

In this paper we settle a logical semantics for the class CC of concurrent constraint programming languages and for its extension LCC based on linear constraint systems. Besides the characterization in intuitionistic logic of the stores of CC computations, we show that both the stores and the successes of LCC computations can be characterized in intuitionistic linear logic. We illustrate the us...