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17 papers · 2 filters
Convergence of Ising interfaces to Schramm's SLE curves
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler +2
We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm's SLE…
Application of p-adic analysis to time series
A. Yu. Khrennikov, S. V. Kozyrev, K. Oleschko +2
Time series defined by a p-adic pseudo-differential equation is investigated using the expansion of the time series over p-adic wavelets. Quadratic correlation function is computed…
Form factors in quantum integrable models with GL(3)-invariant R-matrix
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. We obtain determinant representations for form factors of off-diag…
Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy
N. N. Bogolubov, A. V. Soldatov
It was shown that an infinite convergent sequence of improving non-increasing upper bounds to the ground state energy of a slow-moving acoustical polaron can be obtained by means o…
Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
S. Pakuliak, E. Ragoucy, N. A. Slavnov
We study quantum integrable models with GL(3) trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed…
Semiclassical quantization of classical field theories
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
These lectures are an introduction to formal semiclassical quantization of classical field theory. First we develop the Hamiltonian formalism for classical field theories on space…