1,393 research outputs found
On the S-matrix of the Sub-leading Magnetic Deformation of the Tricritical Ising Model in Two Dimensions
We compute the -matrix of the Tricritical Ising Model perturbed by the
subleading magnetic operator using Smirnov's RSOS reduction of the
Izergin-Korepin model. The massive model contains kink excitations which
interpolate between two degenerate asymmetric vacua. As a consequence of the
different structure of the two vacua, the crossing symmetry is implemented in a
non-trivial way. We use finite-size techniques to compare our results with the
numerical data obtained by the Truncated Conformal Space Approach and find good
agreement.Comment: 21 page
Algebraic arctic curves in the domain-wall six-vertex model
The arctic curve, i.e. the spatial curve separating ordered (or `frozen') and
disordered (or `temperate) regions, of the six-vertex model with domain wall
boundary conditions is discussed for the root-of-unity vertex weights. In these
cases the curve is described by algebraic equations which can be worked out
explicitly from the parametric solution for this curve. Some interesting
examples are discussed in detail. The upper bound on the maximal degree of the
equation in a generic root-of-unity case is obtained.Comment: 15 pages, no figures; v2: metadata correcte
Counting non-planar diagrams: an exact formula
Abstract We present an explicit solution of a simply stated, yet unsolved, combinatorial problem, of interest both in quantum field theory (Feynman diagrams enumeration, beyond the planar approximation) and in statistical mechanics (high temperature loop expansion of some frustrated lattice spin model)
Temperature correlators in the two-component one-dimensional gas
The quantum nonrelativistic two-component Bose and Fermi gases with the
infinitely strong point-like coupling between particles in one space dimension
are considered. Time and temperature dependent correlation functions are
represented in the thermodynamic limit as Fredholm determinants of integrable
linear integral operators.Comment: 40 pages, LaTeX, a4.st
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