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Entanglement entropy and quantum field theory
We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy SA = −Tr ρAlogρA corresponding to the reduced density matrixExpand
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Scaling and Renormalization in Statistical Physics
This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory,Expand
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Boundary Conditions, Fusion Rules and the Verlinde Formula
Abstract Boundary operators is conformal field theory are considered as arising from the juxtaposition of different types of boundary conditions. From this point of view, the operator content of theExpand
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Evolution of entanglement entropy in one-dimensional systems
We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length and its complement, starting from a pure stateExpand
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Operator Content of Two-Dimensional Conformally Invariant Theories
It is shown how conformal invariance relates many numerically accessible properties of the transfer matrix of a critical system in a finite-width infinitely long strip to bulk universal quantities.Expand
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Entanglement entropy and conformal field theory
We review the conformal field theory approach to entanglement entropy in 1+1 dimensions. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, andExpand
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Conformal Invariance and Surface Critical Behavior
Abstract Conformal invariance constrains the form of correlation functions near a free surface. In two dimensions, for a wide class of models, it completely determines the correlation functions atExpand
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Critical percolation in finite geometries
The methods of conformal field theory are used to compute the crossing probabilities between segments of the boundary of a compact two-dimensional region at the percolation threshold. TheseExpand
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Is There a c Theorem in Four-Dimensions?
Abstract The difficulties of extending Zamolodchikov's c -theorem to dimensions d ≠ 2 are discussed. It is shown that, for d even, the one-point function of the trace of the stress tensor on theExpand
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