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Entanglement Entropy in Non-Relativistic Field Theories · Around

2009

Entanglement Entropy in Non-Relativistic Field Theories

Solodukhin, Sergey N.

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We calculate entanglement entropy in a non-relativistic field theory described by the Schr\"odinger operator.

We demonstrate that the entropy is characterized by i) the area law and ii) UV divergences that are identical to those in the relativistic field theory.
These observations are further supported by a holographic consideration.
We use the non-relativistic symmetry and completely specify entanglement entropy in large class of non-relativistic theories described by the field operators polynomial in derivatives.

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