Title of article :
Excited TBA equations II: massless flow from tricritical to critical Ising model Original Research Article
Author/Authors :
Paul A. Pearce، نويسنده , , Leung Chim، نويسنده , , Changrim Ahn، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
28
From page :
579
To page :
606
Abstract :
We consider the massless tricritical Ising model M(4,5) perturbed by the thermal operator ϕ1,3 in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical perturbations of known conformal boundary conditions. We derive massless thermodynamic Bethe ansatz (TBA) equations for all excitations by solving, in the continuum scaling limit, the TBA functional equation satisfied by the double-row transfer matrices of the A4 lattice model of Andrews, Baxter and Forrester (ABF) in Regime IV. The resulting TBA equations describe the massless renormalization group flow from the tricritical to critical Ising model. As in the massive case of Part I, the excitations are completely classified in terms of (m,n) systems but the string content changes by one of three mechanisms along the flow. Using generalized q-Vandermonde identities, we show that this leads to a flow from tricritical to critical Ising characters. The excited TBA equations are solved numerically to follow the continuous flows from the UV to the IR conformal fixed points.
Journal title :
Nuclear Physics B
Serial Year :
2003
Journal title :
Nuclear Physics B
Record number :
879477
Link To Document :
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