Entanglement Entropy for 2D Gauge Theories with Matters

  title={Entanglement Entropy for 2D Gauge Theories with Matters},
  author={Sinya Aoki and Norihiro Iizuka and Kotaro Tamaoka and Tsuyoshi Yokoya},
  journal={Physical Review D},
We investigate the entanglement entropy in 1+1-dimensional $SU(N)$ gauge theories with various matter fields using the lattice regularization. Here we use extended Hilbert space definition for entanglement entropy, which contains three contributions; (1) classical Shannon entropy associated with superselection sector distribution, where sectors are labelled by irreducible representations of boundary penetrating fluxes, (2) logarithm of the dimensions of their representations, which is… 

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