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arXiv · hep-th/0312141

Log-periodic behavior of finite size effects in field theories with RG limit cycles

A. LeClair·J. M. Roman·G. Sierra
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Abstract

We compute the finite size effects in the ground state energy, equivalently the effective central charge c_{eff}, based on S-matrix theories recently conjectured to describe a cyclic regime of the Kosterlitz-Thouless renormalization group flows. The effective central charge has periodic properties consistent with renormalization group predictions. Whereas c_{eff} for the massive case has a singularity in the very deep ultra-violet, we argue that the massless version is non-singular and periodic on all length scales.

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A. LeClair, J. M. Roman, G. Sierra. 2003-12-12. Log-periodic behavior of finite size effects in field theories with RG limit cycles. https://doi.org/10.1016/j.nuclphysb.2004.08.033

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