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Thirring–Wess model : ウィキペディア英語版
Thirring–Wess model

The Thirring–Wess model or Vector Meson model
is an exactly solvable
quantum field theory describing the interaction of a Dirac field with a vector field in dimension two.
==Definition==
The Lagrangian density is made of three terms:
the free vector field A^\mu is described by
:
+ (A^\mu)^2

for F^= \partial^\mu A^\nu - \partial^\nu A^\mu and the boson mass \mu must be
strictly positive;
the free fermion field \psi
is described by
:
\overline(i\partial\!\!\!/-m)\psi

where the fermion mass m can be positive or zero.
And the interaction term is
:
qA^\mu(\bar\psi\gamma^\mu\psi)

Although not required to define the massive vector field, there can be also a gauge-fixing term
:
(\partial^\mu A^\mu)^2

for \alpha \ge 0
There is a remarkable difference between the case \alpha > 0 and the case \alpha = 0 : the latter requires a field renormalization to absorb divergences of the two point correlation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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