Bosonization
Encyclopedia
In theoretical physics
, one often studies two-dimensional conformal field theory
. It has many very special properties. One of them is the equivalence of fermion
ic elementary fields and boson
ic elementary fields. Bosonization also appears in 2D theories which aren't conformal field theories.
The process of going from a fermionic basis to a bosonic basis is called bosonization. Two complex fermions
are written as functions of a boson 
while the inverse map is given by
All equations are normal-ordered. The changed statistics arises from anomalous dimensions of the fields.
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
, one often studies two-dimensional conformal field theory
Conformal field theory
A conformal field theory is a quantum field theory that is invariant under conformal transformations...
. It has many very special properties. One of them is the equivalence of fermion
Fermion
In particle physics, a fermion is any particle which obeys the Fermi–Dirac statistics . Fermions contrast with bosons which obey Bose–Einstein statistics....
ic elementary fields and boson
Boson
In particle physics, bosons are subatomic particles that obey Bose–Einstein statistics. Several bosons can occupy the same quantum state. The word boson derives from the name of Satyendra Nath Bose....
ic elementary fields. Bosonization also appears in 2D theories which aren't conformal field theories.
The process of going from a fermionic basis to a bosonic basis is called bosonization. Two complex fermions
are written as functions of a boson while the inverse map is given by
All equations are normal-ordered. The changed statistics arises from anomalous dimensions of the fields.