Generalising the staircase models

Details Generalising the staircase models Generalising the staircase models

1992-11-24

arxiv.org/abs/hep-th/9211115v1

Nucl.Phys. B406 (1993) 708-726

Physics

High Energy Physics

High Energy Physics - Theory

19 pages (and two figures), preprint CERN-TH.6739/92 NI92009 DFUB-92-21

Scientific paper

10.1016/0550-3213(93)90007-C

Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G^{(k)}\times G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s \neq 0$.

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