5 research outputs found
On the mass-coupling relation of multi-scale quantum integrable models
We determine exactly the mass-coupling relation for the simplest multi-scale
quantum integrable model, the homogenous sine-Gordon model with two independent
mass-scales. We first reformulate its perturbed coset CFT description in terms
of the perturbation of a projected product of minimal models. This
representation enables us to identify conserved tensor currents on the UV side.
These UV operators are then mapped via form factor perturbation theory to
operators on the IR side, which are characterized by their form factors. The
relation between the UV and IR operators is given in terms of the sought-for
mass-coupling relation. By generalizing the sum rule Ward identity we
are able to derive differential equations for the mass-coupling relation, which
we solve in terms of hypergeometric functions. We check these results against
the data obtained by numerically solving the thermodynamic Bethe Ansatz
equations, and find a complete agreement.Comment: 55 pages, 9 figures, reference added, minor changes, published
versio
On the mass-coupling relation of multi-scale quantum integrable models
We determine exactly the mass-coupling relation for the simplest multi-scale quantum integrable model, the homogenous sine-Gordon model with two independent mass-scales. We first reformulate its perturbed coset CFT description in terms of the perturbation of a projected product of minimal models. This representation enables us to identify conserved tensor currents on the UV side. These UV operators are then mapped via form factor perturbation theory to operators on the IR side, which are characterized by their form factors. The relation between the UV and IR operators is given in terms of the sought-for mass-coupling relation. By generalizing the Θ sum rule Ward identity we are able to derive differential equations for the mass-coupling relation, which we solve in terms of hypergeometric functions. We check these results against the data obtained by numerically solving the thermodynamic Bethe Ansatz equations, and find a complete agreement.othe
Electrochemical Behavior of (C2F)n in Aqueous Alkaline Solution
The e1ectrochemical behavior of a (C2F)n e1ectrode in an alkaline solution and the properties of its discharge products were investigated. (C2F)n treated with a concentrated KOH solution at 25℃ was effective as a cathodic active material, since it had electrocherniclly active surface as a result of weakend C-F bond produced by the reaction with the solution. Conductive carbon was detected in the discharge products from X-ray diffraction patterns, and fluoride ion concentration in an alkaline electrolyte was directly proportional to the quan- tity of discharged e1ectricity. It also can be assurned that one of the rate determing steps of the electrode reaction is the transfer of fluorine ion into the solution phase through the products.departmental bulletin pape
