Heriot-Watt Mathematics Report Series
HWM06-23, 27 Apr 2006
The Entanglement Entropy of Solvable Lattice Models
R Weston
Abstract
We consider the spin k/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find S ~ c_k/ln(xi)+ln(g)+.... Here xi is the correlation length and c_k = 3k/(k+2) is the central charge associated with the sl_2 Wess?Zumino?Witten (WZW) model at level k. ln(g) is the boundary entropy of the WZW model. Our result extends previous observations and suggests that this is a simple and perhaps rather general way both of extracting the central charge of the ultraviolet conformal field theory (CFT) associated with the scaling limit of a solvable lattice model, and of matching lattice and CFT boundary conditions.
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Full text: http://xxx.soton.ac.uk/ps/math-ph/0601038
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