Order operator
Encyclopedia
In quantum field theory
, an order operator or an order field is a quantum field version of Landau's order parameter whose expectation value characterizes phase transition
s. There exists a dual version of it, the disorder operator
or disorder field, whose expectation value characterizes a phase transition by indicating the prolific presence of defect or vortex lines in an ordered phase.
Quantum field theory
Quantum field theory provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized by an infinite number of dynamical degrees of freedom, that is, fields and many-body systems. It is the natural and quantitative language of particle physics and...
, an order operator or an order field is a quantum field version of Landau's order parameter whose expectation value characterizes phase transition
Phase transition
A phase transition is the transformation of a thermodynamic system from one phase or state of matter to another.A phase of a thermodynamic system and the states of matter have uniform physical properties....
s. There exists a dual version of it, the disorder operator
Disorder operator
In theoretical physics, a disorder operator is an operator that creates a discontinuity of the ordinary order operators or a monodromy for their values.For example, a 't Hooft operator is a disorder operator. So is the Jordan–Wigner transformation....
or disorder field, whose expectation value characterizes a phase transition by indicating the prolific presence of defect or vortex lines in an ordered phase.
Books
- Kleinert, HagenHagen KleinertHagen Kleinert is Professor of Theoretical Physics at the Free University of Berlin, Germany , at theWest University of Timişoara, at thein Bishkek. He is also of the...
, Gauge Fields in Condensed MatterCondensed MatterCondensed matter may refer to several things*Condensed matter physics, the study of the physical properties of condensed phases of matter*European Physical Journal B: Condensed Matter and Complex Systems, a scientific journal published by EDP sciences...
, Vol. I, " SUPERFLOW AND VORTEX LINES", pp. 1--742, Vol. II, "STRESSESStress (physics)In continuum mechanics, stress is a measure of the internal forces acting within a deformable body. Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied on the body...
AND DEFECTSDefect- Geometry and physical sciences :* Defect , a characteristic of a polyhedron* Topological defect* Isoperimetric defect* Crystallographic defect, a structural imperfection in a crystal- Pop music :* The Defects, Northern-Irish punk rock band...
", pp. 743-1456, World Scientific (Singapore, 1989); Paperback ISBN 9971-5-0210-0 (also available online: Vol. I and Vol. II)