Yang-Baxter sigma models: Quantum aspects

Abstract

We study the quantum properties at one-loop of the Yang-Baxter $\sigma$-models introduced by Klimč\'\ik. The proof of the one-loop renormalizability is given, the one-loop renormalization flow is investigated and the quantum equivalence is studied.

14 pages, 1 figure

References in corpus (1)

• On classical q-deformations of integrable sigma-models

Cited by in corpus (21)

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• Towards the gravity/CYBE correspondence beyond integrability -- Yang-Baxter deformations of $T^{1,1}$
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• Dual description of $\eta$-deformed OSP sigma models
• Asymptotics in the bi-Yang-Baxter Sigma Model
• On dual regime in Yang-Baxter deformed $\mathrm{O}(2N)$ sigma models
• Integrability and renormalizability for the fully anisotropic $\mathrm{SU}(2)$ principal chiral field and its deformations
• Dynamically restoring conformal invariance in (integrable) $\sigma$-models
• Yang-Baxter deformations and string dualities