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

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

2003-12-12

arxiv.org/abs/hep-th/0312141v1

Nucl.Phys. B700 (2004) 407-435

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 7 figs, RevTex4

Scientific paper

10.1016/j.nuclphysb.2004.08.033

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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