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Excited TBA equations II: Massless flow from tricritical to critical Ising model

Title
Excited TBA equations II: Massless flow from tricritical to critical Ising model
Authors
Pearce P.A.Chim L.Ahn A.
Ewha Authors
안창림
SCOPUS Author ID
안창림scopus
Issue Date
2003
Journal Title
Nuclear Physics B
ISSN
0550-3213JCR Link
Citation
vol. 661, no. 3, pp. 579 - 606
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We consider the massless tricritical Ising model M(4,5) perturbed by the thermal operator 1,3 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. © 2003 Elsevier Science B.V. All rights reserved.
DOI
10.1016/S0550-3213(03)00254-2
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자연과학대학 > 물리학전공 > Journal papers
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