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2015

On The Entanglement Entropy For Gauge Theories

Ghosh, Sudip, Soni, Ronak M., Trivedi, Sandip P.

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We propose a definition for the entanglement entropy of a gauge theory on a spatial lattice.

Our definition applies to any subset of links in the lattice, and is valid for both Abelian and Non-Abelian gauge theories.
For $\mathbb{Z}_N$ and $U(1)$ theories, without matter, our definition agrees with a particular case of the definition given by Casini, Huerta and Rosabal.
We also argue that in general, both for Abelian and Non-Abelian theories, our definition agrees with the entanglement entropy calculated using a definition of the replica trick.

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