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ADE and SLE
John Cardy
We point out that the probability law of a single domain wall separating clusters in ADE lattice models in a simply connected domain is identical to that of corresponding chordal c…
Holomorphic Parafermions in the Potts model and SLE
V. Riva, John Cardy
We analyse parafermionic operators in the Q-state Potts model from three different perspectives. First, we explicitly construct lattice holomorphic observables in the Fortuin-Kaste…
Correlation functions of twist operators applied to single self-avoiding loops
Adam Gamsa, John Cardy
The O(n) spin model in two dimensions may equivalently be formulated as a loop model, and then mapped to a height model which is conjectured to flow under the renormalization group…
The O(n) model on the annulus
John Cardy
We use Coulomb gas methods to propose an explicit form for the scaling limit of the partition function of the critical O(n) model on an annulus, with free boundary conditions, as a…
Time-dependence of correlation functions following a quantum quench
Pasquale Calabrese, John Cardy
We show that the time-dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some hamiltonian and then evolves…