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arxiv: hep-th/0312141 · v1 · submitted 2003-12-12 · ✦ hep-th

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

A. LeClair , J.M. Roman , G. Sierra (IFT , UAM-CSIC , Madrid , Spain) This is my paper
classification ✦ hep-th
keywords centralchargeeffectiveeffectsfinitegroupperiodicrenormalization
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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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