Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-29
Nucl.Phys. B578 (2000) 85-122
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, 36 pages, 19 figures
Scientific paper
10.1016/S0550-3213(99)00772-5
The g-function was introduced by Affleck and Ludwig as a measure of the ground state degeneracy of a conformal boundary condition. We consider this function for perturbations of the conformal Yang-Lee model by bulk and boundary fields using conformal perturbation theory, the truncated conformal space approach and the thermodynamic Bethe Ansatz (TBA). We find that the TBA equations derived by LeClair et al describe the massless boundary flows, up to an overall constant, but are incorrect when one considers a simultaneous bulk perturbation; however the TBA equations do correctly give the `non-universal' linear term in the massive case, and the ratio of g-functions for different boundary conditions is also correctly produced. This ratio is related to the Y-system of the Yang-Lee model and by comparing the perturbative expansions of the Y-system and of the g-functions we obtain the exact relation between the UV and IR parameters of the massless perturbed boundary model.
Dorey Patrick
Runkel Ingo
Tateo Roberto
Watts Gerard
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