Partition Function (Quantum Field Theory)
In
quantum field theory
, we have a
generating functional
, Z
J
of
correlation functions
and this value, called the
partition function
is usually expressed by something like the following
functional integral
:
\int \mathcal{D}\phi e^{i(S
\phi
+\int d^dx J(x)\phi(x))}
where S is the
action
functional
. This is very analogous to
statistical mechanics
. In fact, a
Wick rotation
emphasizes the similarities.
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