Yang–Baxter σ model: Quantum aspects

2014/01/31 by Romain Squellari
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Equivalence (formal languages) #Loop (graph theory) #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum mechanics #Renormalization #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2014.02.009

published as Nucl. Phys. B 881 (2004) 502-513 · 14 pages, 1 figure

openalex publication_date 2014/02/15 · arxiv created 2014/03/05 · arxiv updated 2014/03/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the quantum properties at one-loop of the Yang–Baxter σ-models introduced by Klimčík [1], [2]. The proof of the one-loop renormalizability is given, the one-loop renormalization flow is investigated and the quantum equivalence is studied.

Citations

• On integrability of the Yang–Baxter σ-model
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Lie Groups, Lie Algebras, and Some of Their Applications
• Poisson-Lie T-duality and loop groups of Drinfeld doubles