Disorder operator
Encyclopedia
In theoretical physics
, a disorder operator is an operator that creates a discontinuity
of the ordinary order operator
s or a monodromy
for their values.
For example, a 't Hooft operator
is a disorder operator. So is the Jordan–Wigner transformation.
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
, a disorder operator is an operator that creates a discontinuity
Discontinuity
Discontinuity may refer to:*Discontinuity , a harmless irregularity in a casting*Discontinuity in geotechnics is a plane or surface marking a change in physical or chemical properties in a soil or rock mass...
of the ordinary order operator
Order operator
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 transitions...
s or a monodromy
Monodromy
In mathematics, monodromy is the study of how objects from mathematical analysis, algebraic topology and algebraic and differential geometry behave as they 'run round' a singularity. As the name implies, the fundamental meaning of monodromy comes from 'running round singly'...
for their values.
For example, a 't Hooft operator
't Hooft operator
In theoretical physics, a 't Hooft operator, introduced by Gerard 't Hooft in the 1978 paper is a dual version of the Wilson loop in which the electromagnetic potential A is replaced by its electromagnetic dual Amag where the exterior derivative of A is equal to the Hodge dual of the exterior...
is a disorder operator. So is the Jordan–Wigner transformation.