Dualised sigma-models at the two-loop order

Abstract

We adress ourselves the question of the quantum equivalence of non abelian dualised $\si$-models on the simple example of the T-dualised $SU(2) \si$-model. This theory is classically canonically equivalent to the standard chiral $SU(2) \si$-model. It is known that the equivalence also holds at the first order in perturbations with the same $\be$ functions. However, this model has been claimed to be non-renormalisable at the two-loop order. The aim of the present work is the proof that it is - at least up to this order - still possible to define a correct quantum theory. Its target space metric being only modified in a finite manner, all divergences are reabsorbed into coupling and fields (infinite) renormalisations.

11 pages, latex file,some references added

References in corpus (3)

• Target Space Duality I: General Theory
• Target Space Duality II: Applications
• Quantum structure of T-dualized models with symmetry breaking

Cited by in corpus (7)

• Renormalization and asymptotic safety in truncated quantum Einstein gravity
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• Integrable sigma models and 2-loop RG flow
• Poisson-Lie Duality in the String Effective Action
• Two-loop conformal invariance for Yang-Baxter deformed strings
• One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models
• Renormalisability of non-homogeneous T-dualised sigma-models