One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models

Details One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models

2003-04-07

arxiv.org/abs/hep-th/0304053v2

Phys.Lett. B565 (2003) 237-245

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figure

Scientific paper

10.1016/S0370-2693(03)00764-0

We perform a systematic study of the one-loop renormalizability of all Poisson-Lie T-dualizable $\si$-models with two-dimensional targets. We show that whatever Drinfeld double and whatever matrix of coupling constants we consider the corresponding $\si$-model is always one-loop renormalizable in the strict field theoretical sense. Moreover, in all cases, the RG flow in the space of the coupling constants is compatible with the Poisson-Lie T-duality.

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