entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
entanglement entropy of disconnected regions - Staff.city.ac.uk - City ...
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Locality in QFT<br />
• A field O(x) is local in QFT if measurements associated to this field are quantum<br />
mechanically independent from measurements <strong>of</strong> the energy density (or Lagrangian<br />
density) at sp<strong>ac</strong>e-like distances. That is, equal-time commutation relations vanish:<br />
[O(x, t = 0), L (n) (x ′ , t = 0)] = 0 (x ≠ x ′ ) .<br />
• This means that:<br />
O( x)<br />
(n)<br />
L [ ϕ, 1 ϕ ,..., ϕ ]<br />
2 n<br />
( x’ )<br />
=<br />
• Branch-point twist fields are local fields in the n-copy theory.